Memorial Of The Great Scientist
Professor Ali Reza Ashrafi

Papers Published in Mathematics Journals

1995

1. M. R. Darafsheh and A. R. Ashrafi, The Irreducible character table of the automorphism group of the group PSL5(3), Algebras, Groups and Geometries, 12 (1995) 339-352. 1998
2. A. R. Ashrafi, On the n-sum Group, n = 6, 7, Southeast Asian Bulletin of Mathematics, 22 (1998) 111-114.
3. A. Madanshekaf and A. R. Ashrafi, Generalized action of a hypergroup on a set, Italian Journal of Pure and Applied Mathematics, No 3 (1998) 127-135.

1999

4. A. R. Ashrafi, The problem of intervals, Southeast Asian Bulletin of Mathematics, (1999) 23 551-557. 2000
5. A. R. Ashrafi, On finite group with a given number of centralizers, Algebra Coloquium, 7 (2) (2000) 139-146.
6. A. R. Ashrafi, An exact expression for the partition function p(n), Far East Journal of Mathematical Sciences (FJMS) 2 (2)(2000) 271-278.
7. A. R. Ashrafi, Counting the centralizers of some finite groups, Korean Journal of Computational & Applied Mathematics, 7 (1) (2000) 115-124.
8. M. R. Darafsheh and A. R. Ashrafi, (2,p,q)-Generations of the Conway group Co1, Kumamoto Journal of Mathematics 13 (2000) 1-20.
9. A. R. Ashrafi and A. Gordji, On existence of some k-SOLSSOMs, Divulgaciones Matematicas, 8 (1) (2000) 25-29.

2001

10. A. R. Ashrafi, About some Join spaces and Hyperlattices, Italian Journal of Pure and Applied Mathematics 10 (2001) 199-205.
11. M. R. Darafsheh, A. R. Ashrafi and M. Moghani, (p,q,r)-Generations of the Conway group Co1, for odd p, Kumamoto Journal of Mathematics 14 (2001) 1-20.
12. A. R. Ashrafi and R. Soleimani, On the number of maximal theta pairs in a finite group, Acta Mathematica et Informatica Universitatis Ostraviensis 9 (2001) 5-12.
13. Zhao Yaoqing and A. R. Ashrafi, On s-completions and theta-completions for maximal subgroups, International Journal of Mathematics, Game Theory and Algebra 11 (4) (2001) 93-101. 2002
14. Zhao Yaoqing and A. R. Ashrafi, On S-completions and theta-completions for maximal subgroups, International Journal of Mathematics, Game Theory and Algebra 12 (3)(2002) 225-233.
15. A. R. Ashrafi and H. Sahraei, On finite groups whose normal subgroups have the same number of conjugacy classes, Vietnam Journal of Mathematics 30 (3)(2002) 289-294.
16. A. R. Ashrafi, Generating pairs for the Held group He, Journal of Applied Mathematics & Computing 10 (2002) 167-174.
17. A. R. Ashrafi, A. Hossein Zadeh and M. Yavari, Hypergraphs and join spaces, Italian Journal of Pure and Applied Mathematics 12 (2002) 185-196.
18. A. R. Ashrafi and G. A. Moghani, nX-Complementary generations of the Suzuki group Suz, Buletinul A. S. a R. M. Matematica 40 (3) (2002) 61-70.

2003

19. A. R. Ashrafi, (p,q,r)-Generations and nX-complementary generations of the sporadic group Th, SUT Journal of Mathematics 39 (1) (2003) 41-54.
20. M. R. Darafsheh and A. R. Ashrafi, Generating pairs for the sporadic group Ru, Journal of Applied Mathematics & Computing 12 (1-2) (2003) 143-154.
21. M. R. Darafsheh, A. R. Ashrafi and G.A. Moghani, (p,q,r)-Generations and nX-complementary generations of the sporadic group Ly, Kumamoto Journal of Mathematics 16 (2003) 13-25.
22. A. R. Ashrafi, nX-Complementary generations of the Harada-Norton group HN, Acta Mathematica et Informatica Universitatis Ostraviensis 11 (2003) 3-9.
23. A. R. Ashrafi and Zhao Yaoqing, On 5- and 6-decomposable finite groups, Mathematica Slovaca 53 (4) (2003) 373-383.
24. G.A. Moghani and A. R. Ashrafi, On some hypergroups and their hyperlattice structure, Buletinul A. S. a R. M. Matematica 43 (3)(2003) 15-24.
25. A. R. Ashrafi, On X-decomposable finite groups, Mathematical Journal of the Armenian Academy of Sciences 8 (5) (2003) 5-10.
26. G. A. Moghani, A. R. Ashrafi and B. Davvaz, On the finite join spaces associated to rough sets, Pure Mathematics and Its Applications 14 (3) (2003) 305-311.

2004

27. A. R. Ashrafi and M. Hamadanian, Group theory for tetraammine platinum(II) with C2v and C4v point group in the non-rigid system, Journal of Applied Mathematics & Computing 14 (2004) 289-303.
28. A. R. Ashrafi, On decomposability of finite groups, Journal of the Korean Mathematical Society 41 (2004) 479-487.
29. K. Mehrabadi, A. R. Ashrafi and A. Iranmanesh, (p,q,r)-Generations of the Suzuki group Suz, International Journal of Pure and Applied Mathematics 11 (4) (2004) 447-463.
30. M. R. Darafsheh, A. R. Ashrafi and M. Moghani, nX-Complementary generations of the sporadic group Co1, Acta Mathematica Vietnamica 29 (1) (2004) 57-75.
31. A. R. Ashrafi and G. Venkataraman, On finite groups whose every normal subgroup is a union of a given number of conjugacy classes, Proceedings of the Indian Academy of Science (Mathematical Science) 114 (3) (2004) 217-224.
32. M. R. Darafsheh, A. R. Ashrafi and G. A. Moghani, nX-Complementary generations of the sporadic group ON, Southeast Asian Bulletin of Mathematics 28 (6) (2004), 1011-1019. 2005
33. A. R. Ashrafi and B. Taeri, On finite group with a certain number of centralizers, Journal of Applied Mathematics & Computing 17 (1-2) (2005) 217-227.
34. A. R. Ashrafi, On non-rigid group theory for some molecules, MATCH Communications in Mathematics and in Computer Chemistry, 53 (1) (2005) 161-174.
35. M. R. Darafsheh, Y. Farjami and A. R. Ashrafi, Computing the full non-rigid group of tetranitrocubane and octanitrocubane using wreath product, MATCH Communications in Mathematics and in Computer Chemistry 54 (1) (2005) 53-74.
36. M. R. Darafsheh, Y. Farjami and A. R. Ashrafi, Symmetries of weighted complete graph of tetranitrocubane and octanitrocubane, MATCH Communications in Mathematics and in Computer Chemistry 54 (2) (2005) 331-340.
37. A. R. Ashrafi and A. Iranmanesh, nX-Complementary generations of the Rudvalis group Ru, Vietnam Journal of Mathematics 33 (1) (2005) 1-7.
38. A. R. Ashrafi and Wujie Shi, On 7- and 8-decomposable finite groups, Mathematica Slovaca 55 (3)(2005) 253-262.
39. G. A. Mansoori, G.R. Vakili-Nezhad and A. R. Ashrafi, Some mathematical concepts applicable in nanothermodynamics, International Journal of Pure and Applied Mathematical Science 2 (1)(2005) 58-61.
40. M. R. Darafsheh, A. R. Ashrafi and A. Darafsheh, Computing the full non-rigid group of tetra-tert-butyltetrahedrane using wreath product, International Journal of Quantum Chemistry 105 (5)(2005) 485-492.

2006

41. A. R. Ashrafi, (p,q,r)-Generations of the sporadic group HN, Taiwanese Journal of Mathematics 10 (3) (2006) 613-629.
42. A. R. Ashrafi and A. Loghman, PI index of zig-zag polyhex nanotubes, MATCH Communications in Mathematics and in Computer Chemistry 55 (2) (2006) 447-452.
43. S. Yousefi and A. R. Ashrafi, An exact expression for the Wiener index of a polyhex nanotorus, MATCH Communications in Mathematics and in Computer Chemistry 56 (1) (2006) 169-178.
44. A. R. Ashrafi and M. R. Ahmadi, Symmetry of fullerene C60, Iranian Journal of Mathematical Sciences and Informatics 1 (1) (2006) 1-13.
45. A. R. Ashrafi and G. A. Moghani, nX-Complementary generations of the Fischer group Fi23, Journal of Applied Mathematics & Computing 21 (1-2) (2006) 393-409.
46. A. R. Ashrafi and A. Loghman, PI index of armchair polyhex nanotubes, Ars Combinatoria 80 (2006) 193-199.
47. A. Iranmanesh and A. R. Ashrafi, Generalized Latin squares, Journal of Applied Mathematics & Computing 22 (1-2)(2006) 285-293.
48. A. R. Ashrafi and B. Taeri, On finite groups with exactly seven element centralizers, Journal of Applied Mathematics & Computing 22 (1-2)(2006) 403-410.
49. A. R. Ashrafi, B. Manoochehrian and H. Yousefi-Azari, PI polynomial of a graph, Utilitas Mathematica 71 (2006) 97-108.
50. M. Alaeiyan and A. R. Ashrafi, On a class of p-groups and its Cayley graphs, Italian Journal of Pure and Applied Mathematics 20 (2006) 169-176.
51. M. Ghorbani, M. Jalal-Abadi and A. R. Ashrafi, Computing orbits of the automorphism group of the subsequence poset Bm, n, Order 23 (2-3)(2006) 163-168.
52. A. Andikfar and A. R. Ashrafi, On finite groups all of whose proper subgroups are w-cyclic, Carpathian Journal of Mathematics 22 (1-2) (2006) 1-5. 2007
53. M. R. Darafsheh, A. R. Ashrafi and A. Darafsheh, Non-rigid group theory for 1,3,5-trimethylbenzene, International Journal of Quantum Chemistry 107 (2) (2007) 340-344.
54. A. R. Ashrafi and F. Rezaei, PI index of polyhex nanotori, MATCH Communications in Mathematics and in Computer Chemistry 57 (1) (2007) 243-250.
55. A. R. Ashrafi and S. Yousefi, Computing the Wiener index of a TUC4C8(S) nanotorus, MATCH Communications in Mathematics and in Computer Chemistry 57 (2) (2007) 403-410.
56. B. Manoochehrian, H. Yousefi-Azari and A. R. Ashrafi, PI polynomial of some benzenoid graphs, MATCH Communications in Mathematics and in Computer Chemistry 57 (3) (2007) 653-664.
57. M.R. Darafsheh, Y. Farjami, A. R. Ashrafi and M. Hamadanian, Full non-rigid group of Sponge and Pina, Journal of Mathematical Chemistry 41 (3) (2007) 315-326.
58. A. R. Ashrafi and S. Yousefi, A note on equiseparable trees, Iranian Journal of Mathematical Sciences and Informatics 2 (1) (2007) 15-20.
59. M. R. Darafsheh, A. R. Ashrafi and A. Darafsheh, Non-rigid group theory for 2,3-dimethylbutane, MATCH Communications in Mathematics and in Computer Chemistry 58 (1) (2007) 47-56.
60. A. R. Ashrafi, B. Manoochehrian and H. Yousefi-Azari, On Szeged polynomial of a graph, Bulletin of the Iranian Mathematical Society 33 (1) (2007) 37-46.
61. H. Yousefi-Azari, B. Manoochehrian and A. R. Ashrafi, PI and Szeged indices of some benzenoid graphs related to nanostructures, Ars Combinatoria 84 (2007) 255-267.
62. A. R. Ashrafi and A. Iranmanesh, Counting the number of theta pairs in a finite group, International Journal of Applied Mathematics and Statistics 11 (N07) (2007) 7-12.
63. S. Yousefi and A. R. Ashrafi, An exact expression for the Wiener index of a TUC4C8(R) nanotorus, Journal of Mathematical Chemistry 42 (4) (2007) 1031-1039.
64. B. Manoochehrian and A. R. Ashrafi, A simple algorithm for computing detour index of nanoclusters, Iranian Journal of Mathematical Sciences and Informatics 2 (2) (2007) 25-28.

2008

65. B. Manoochehrian, H. Yousefi-Azari and A. R. Ashrafi, Szeged index of a zig-zag polyhex nanotube, Ars Combinatoria 86 (2008) 371-379.
66. M.R. Darafsheh, A. R. Ashrafi and M. Khademi, Some designs related to group actions, Ars Combinatoria 86 (2008) 65-75.
67. M. R. Darafsheh, A. R. Ashrafi and A. Darafsheh, The symmetry group of non-rigid tetramethylsilane, International Journal of Quantum Chemistry 108 (3) (2008) 440-446.
68. A. R. Ashrafi and M. Ghorbani, A note on markaracter tables of finite groups, MATCH Communications in Mathematics and in Computer Chemistry 59 (3) (2008) 595-603.
69. I. Gutman and A. R. Ashrafi, On the PI index of phenylenes and their hexagonal squeezes, MATCH Communications in Mathematics and in Computer Chemistry 60 (1) (2008) 135-142.
70. A. R. Ashrafi and W. J. Shi, On 9- and 10-decomposable finite group, Journal of Applied Mathematics & Computing 26 (1-2) (2008) 169-182.
71. M. R. Darafsheh, A. R. Ashrafi and A. Darafsheh, Erratum: The symmetry group of nonrigid tetramethylsilane, International Journal of Quantum Chemistry 108 (8) (2008) 1411-1413.
72. H. Yousefi-Azari, B. Manoochehrian and A. R. Ashrafi, The PI index of product graphs, Applied Mathematics Letters 21 (6) (2008) 624-627.
73. A. R. Ashrafi and M. Ghorbani, Computer application of GAP to the evaluation of numbers of permutational isomers of hetero fullerenes, MATCH Communications in Mathematics and in Computer Chemistry 60 (2) (2008) 359-367.
74. A. R. Ashrafi and M. Mirzargar, The edge Szeged polynomial of graphs, MATCH Communications in Mathematics and in Computer Chemistry 60 (3) (2008) 897-904.
75. A. R. Ashrafi, M. Jalali, M. Ghorbani and M. V. Diudea, Computing PI and omega polynomials of an infinite family of fullerenes, MATCH Communications in Mathematics and in Computer Chemistry 60 (3) (2008) 905-916.
76. M. V. Diudea, A. E. Vizitiu, F. Gholaminezhad and A. R. Ashrafi, Omega polynomial in twisted (4,4) tori, MATCH Communications in Mathematics and in Computer Chemistry 60 (3) (2008) 945-953.
77. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, The hyper-Wiener index of graph operations, Computer and Mathematics with Applications 56 (5) (2008) 1402-1407.
78. G. H. Fath-Tabar, A. R. Ashrafi, I. Gutman, Note on Laplacian energy of graphs, Bulletin de l'Academie Serbe des Sciences et des Arts (Classe des Sciences Mathematiques et Naturelles) 33 (2008) 1-10.
79. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, Vertex and edge PI indices of Cartesian product graphs, Discrete Applied Mathematics 156 (2008) 1780-1789.
80. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, A matrix method for computing Szeged and vertex PI indices of join and composition of graphs, Linear Algebra Applications 429 (11-12) (2008) 2702-2709.
81. A. R. Ashrafi and M. Mirzargar, PI, Szeged and edge Szeged indices of nanostar dendrimers, Utilitas Mathematica 77 (2008) 249-255.
82. A. Iranmanesh and A. R. Ashrafi, On two methods for computing the non-rigid group of molecules, Iranian Journal of Mathematical Sciences and Informatics 3 (2) (2008) 21-28.

2009

83. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, The first and second Zagreb indices of some graph operations, Discrete Applied Mathematics 157 (4) (2009) 804-811.
84. M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi and S. Wagner, Some new results on distance-based graph invariants, European Journal of Combinatorics 30 (5) (2009) 1149-1163.
85. H. Yousefi-Azari, A. R. Ashrafi and N. Sedigh, On the Szeged index of some benzenoid graphs applicable in nanostructures, Ars Combinatoria 90 (2009) 55-64.
86. A. R. Ashrafi and M. Mirzargar, The study of an infinite class of dendrimer nanostars by topological index approaches, Journal of Applied Mathematics & Computing 31 (1-2) (2009) 289-294.
87. M. Ghorbani, M. Jalal-Abadi and A. R. Ashrafi, Computing orbits of the automorphism group of the subsequence poset Bm,n, Southeast Asian Bulletin of Mathematics 33 (2009) 847-851.
88. M. Mogharrab, H. R. Maimani and A. R. Ashrafi, A note on the vertex PI index of graphs, Journal of Advanced Mathematical Studies 2 (2) (2009) 53-56.
89. G. H. Fath-Tabar, A. R. Ashrafi and I. Gutman, Note on Estrada and L-Estrada indices of graphs, Bulletin de l'Academie Serbe des Sciences et des Arts (Classe des Sciences Mathematiques et Naturelles) 139 (2009) 1-16.
90. M. J. Nadjafi-Arani, G. H. Fath-Tabar and A. R. Ashrafi, Extremal graphs with respect to the vertex PI index, Applied Mathematics Letters 22 (2009) 1838-1840.
91. A. R. Ashrafi, M. R. Darafsheh and M. Khademi, On designs constructed by group actions, Journal of Combinatorial Mathematics and Combinatorial Computing (JCMCC) 70 (2009) 235-245.
92. S. Hossein-Zadeh, A. Hamzeh and A. R. Ashrafi, Wiener-type invariants of some graph operations, FILOMAT 23 (3) (2009) 103-113.

2010

93. A. Karbasioun, A. R. Ashrafi and M. V. Diudea, Distance and detour matrices of an infinite class of dendrimer nanostars, MATCH Communications in Mathematics and in Computer Chemistry 63 (1) (2010) 239-246.
94. G. H. Fath-Tabar, M. J. Nadjafi-Arani, M. Mogharrab and A. R. Ashrafi, Some inequalities for Szeged-like topological indices of graphs, MATCH Communications in Mathematics and in Computer Chemistry 63 (1) (2010) 145-150.
95. G. H. Fath-Tabar, T. Došlić, A. R. Ashrafi, On the Szeged and the Laplacian Szeged spectrum of a graph, Linear Algebra Applications 433 (3) (2010) 662-671.
96. M. V. Diudea, A. E. Vizitiu, M. Mirzargar and A. R. Ashrafi, Sadhana polynomial in nano-dendrimers, Carpathian Journal of Mathematics 26 (1) (2010) 59-66.
97. Z. Yarahmadi, T. Došlić and A. R. Ashrafi, The bipartite edge frustration of composite graphs, Discrete Applied Mathematics 158 (2010) 1551-1558.
98. A. R. Ashrafi, T. Došlić and A. Hamzeh, The Zagreb coindices of graph operations, Discrete Applied Mathematics 158 (2010) 1571-1587.
99. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, Another aspect of graph invariants depending on the path metric and an application in nanoscience, Computers and Mathematics with Applications 60 (8) (2010) 2460-2468.
100. Hossein-Zadeh, A. Hamzeh and A. R. Ashrafi, Extremal properties of Zagreb coindices and degree distance of graphs, Miskolc Mathematical Notes 11 (2) (2010) 129-137.
101. T. Došlić, A. Graovac, D. Vukičević, F. Cataldo, O. Ori, A. Iranmanesh, A. R. Ashrafi and F. Koorepazan Moftakhar, Topological compression factors of 2-dimensional rhombic lattice, Iranian Jornal of Mathematical Chemistry 1 (2) (2010) 73-80.

2011

102. A. R. Ashrafi, A. Karbasioun and M. V. Diudea, Computing Wiener and detour indices of a new type of nanostar dendrimers, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 193-200.
103. M. V. Diudea, A. E. Vizitiu, F. Gholami-Nezhad and A. R. Ashrafi, Omega polynomial in azulenic dendrimers, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 173-182.
104. A. R. Ashrafi, T. Doslic and A. Hamzeh, Extremal graphs with respect to the Zagreb coindices, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 85-92.
105. A. R. Ashrafi, T. Došlić and M. Saheli, The eccentric connectivity index of TUC4C8(R) nanotubes, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 221-230.
106. A. Behmaram, H. Yousefi-Azari and A. R. Ashrafi, Some new results on distance-based polynomials, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 39-50.
107. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, Order of magnitude of the PI index, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 51-56.
108. S. Yousefi and A. R. Ashrafi, 3-dimensional distance matrix of a TC4C8(R) nanotorus, MATCH Communications in Mathematics and in Computer Chemistry 65 (1) (2011) 249-254.
109. A. R. Ashrafi and G. H. Fath-Tabar, Bounds on the Estrada index of ISR (4,6)-fullerenes, Applied Mathematics Letters 24 (3) (2011) 337-339.
110. A. R. Ashrafi, A. Hamzeh and S. Hossein-Zadeh, Calculation of some topological indices of splices and links of graphs, Journal of Applied Mathematics & Informatics 29 (1) (2011) 327-335.
111. A. Hamzeh, S. Hossein-Zadeh, A. R. Ashrafi, y-Wiener index of composite graphs, Applied Mathematics Letters 24 (2011) 1099-1104.
112. A. R. Ashrafi and A. Karbasioun, Distance matrix and Wiener index of a new class of nanostar dendrimers, Utilitas Mathematica 84 (4) (2011) 131-138.
113. M. Mogharrab, M. J. Nadjafi-Arani, G. F. Fath-Tabar and A. R. Ashrafi, Some bounds on Balaban index of a graph, Utilitas Mathematica 84 (4) (2011) 325-332.
114. H. Yousefi-Azari, M. H. Khalifeh and A. R. Ashrafi, Calculating the edge Wiener and edge Szeged indices of graphs, Journal of Computational and Applied Mathematics 235 (2011) 4866-4870.
115. A. R. Ashrafi, M. Saheli and M. Ghorbani, The eccentric connectivity index of nanotubes and nanotori, Journal of Computational and Applied Mathematics 235 (2011) 4561-4566.
116. A. R. Ashrafi and G. H. Fath-Tabar, New upper bounds for Estrada index of bipartite graphs, Linear Algebra Applications 435 (10), 2607-2611.
117. H. Khodashenas, M. J. Nadjafi-Arani, A. R. Ashrafi and I. Gutman, A new proof of the Szeged-Wiener theorem, Kragujevac Journal of Mathematics 35 (1) (2011) 165-172.
118. Z. Yarahmadi and A. R. Ashrafi, The bipartite edge frustration of graphs under subdivided edges and their related sums, Computer and Mathematics with Applications 62 (2011) 319-325.
119. G. H. Fath-Tabar, B. Vaez-Zadeh, A. R. Ashrafi and A. Graovac, Some inequalities for the atom-bond connectivity index of graph operations, Discrete Applied Mathematics 159 (2011) 1323-1330.
120. Z. Yarahmadi and A. R. Ashrafi, Extremal properties of the bipartite vertex frustration of graphs, Applied Mathematics Letters 24 (2011) 1774-1777.
121. M. J. Nadjafi-Arani, H. Khodashenas and A. R. Ashrafi, On the differences between Szeged and Wiener indices of graphs, Discrete Mathematics 311 (2011) 2233-2237.
122. A. R. Ashrafi, M. Ghorbani and M. A. Hossein-Zadeh, The eccentric connectivity polynomial of some graph operations, Serdica Journal of Computing 2 (2011) 101-116.
123. Z. Yarahmadi, A. R. Ashrafi and I. Gutman, First and second extremal bipartite graphs with respect to PI index, Mathematical and Computer Modeling 54 (2011) 2460-2463.
124. G. H. Fath-Tabar and A. R. Ashrafi, The Hyper-Wiener polynomial of graphs, Iranian Journal of Mathematical Sciences and Informatics 6 (2) (2011) 67-74.
125. A. R. Ashrafi, A. Hamzeh and S. Hossein-Zadeh, Computing Zagreb, Hyper-Wiener and degree-distance indices of four new sums of graphs, Carpathian Journal of Mathematics 27 (2) (2011) 153-164.
126. A. Graovac, O. Ori, M. Faghani and A. R. Ashrafi, Distance property of fullerenes, Iranian Journal of Mathematical Chemistry 2 (1) (2011) 99-107.

2012

127. Z. Yarahmadi, A. R. Ashrafi and S. Moradi, Extremal polyomino chains with respect to Zagreb indices, Applied Mathematics Letters 25 (2012) 166-171.
128. M. J. Nadjafi-Arani, H. Khodashenas and A. R. Ashrafi, Graphs whose Szeged and Wiener numbers differ by 4 and 5, Mathematical and Computer Modeling 55 (2012) 1644-1648.
129. M. Tavakoli, H. Yousefi-Azari and A. R. Ashrafi, Note on edge distance-balanced graphs, Transaction on Combinatorics 1 (1) (2012) 1-6.
130. M. J. Nadjafi-Arani, H. Khodashenas and A. R. Ashrafi, Relationship between edge Szeged and edge Wiener indices of graphs, Glasnik Matematicki 47 (67) (2012) 21-29.
131. Z. Yarahmadi and A. R. Ashrafi, The Szeged, vertex PI, first and second Zagreb indices of corona product of graphs, FILOMAT 26 (3)(2012) 467-472.
132. M. Faghani, A. R. Ashrafi and O. Ori, Remarks on the Wiener polarity index of some graph operations, Journal of Applied Mathematics & Informatics 30 (3) (2012) 353-364.
133. A. Behmaram, H. Yousefi-Azari and A. R. Ashrafi, Wiener polarity index of fullerenes and hexagonal systems, Applied Mathematics Letters 25 (10) (2012) 1510-1513.
134. A. Behmaram, H. Yousefi-Azari and A. R. Ashrafi, Closed formulas for the number of small paths, independent sets and matchings in fullerenes, Applied Mathematics Letters 25 (11) (2012) 1721-1724.
135. S. Madani and A. R. Ashrafi, The energies of (3,6)-fullerenes and nanotori, Applied Mathematics Letters 25 (12) (2012) 2365-2368.
136. M. Mirzargar, A. R. Ashrafi and M. Nadjafi-Arani, On the power graph of a finite group, FILOMAT 26 (6) (2012) 1196-1203.
137. H. Hua, A. R. Ashrafi, L. Zhang, More on Zagreb coindices of graphs, FILOMAT 26 (6) (2012) 1210-1220.
138. M. Ghorbani, M. A. Hosseinzadeh, M. V. Diudea and A. R. Ashrafi, Modified eccentric connectivity polynomial of some graph operations, Carpathian Journal of Mathematics 28 (2) (2012) 247-256.
139. M. Mirzargar and A. R. Ashrafi, Some distance-based topological indices of a non-commuting graph, Hacettepe Journal of Mathematics and Statistics 41 (4) (2012) 515-526.
140. G. H. Fath-Tabar, Z. Gholam-Rezaei, A. R. Ashrafi, On the Tutte polynomial of benzenoid chains, Iranian Journal of Mathematical Chemistry 3 (2) (2012) 113-119.
141. S. Hossein-Zadeh, A. Hamzeh and A. R. Ashrafi, The Wiener, eccentric connectivity and Zagreb indices of the hierarchical product of graphs, Serdica Journal of Computing 6 (4) (2012) 409-418.

2013

142. A. Behmaram, H. Yousefi-Azari and A. R. Ashrafi, On the number of paths, independent sets, and matchings of low order in (4,6)-fullerenes, MATCH Communications in Mathematical and in Computer Chemistry 69 (1) (2013) 25-32.
143. A. Hamzeh, S. Hossein-Zadeh and A. R. Ashrafi, Extremal graphs under Wiener-type invariants, MATCH Communications in Mathematical and in Computer Chemistry 69 (1) (2013) 47-54.
144. A. R. Ashrafi, H. Shabani and M. V. Diudea, Balaban index of dendrimers, MATCH Communications in Mathematical and in Computer Chemistry 69 (1) (2013) 151-158.
145. M. J. Nadjafi-Arani, H. Khodashenas and A. R. Ashrafi, A new method for computing Wiener index of dendrimer nanostars, MATCH Communications in Mathematical and in Computer Chemistry 69 (1) (2013) 159-164.
146. H. Shabani, A. R. Ashrafi, I. Gutman and B. Furtula, On extensions of Wiener index, MATCH Communications in Mathematical and in Computer Chemistry 69 (3) (2013) 589-596.
147. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Further results on hierarchical product of graphs, Discrete Applied Mathematics 161 (7-8) (2013) 1162-1167.
148. R. Nasiri, H. Yousefi-Azari, M. R. Darafsheh and A. R. Ashrafi, Remarks on the Wiener index of unicyclic graphs, Journal of Applied Mathematics & Computing 41 (1-2) (2013) 49-59.
149. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Further results on distance-balanced graphs, "Politehnica'' University of Bucharest. Scientific Bulletin. Series A. Applied Mathematics and Physics 75 (1) (2013) 77-84.
150. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Note on strong product of graphs, Kragujevac Journal of Mathematics 37 (1) (2013) 187-193.
151. M. Tavakoli, F. Rahbarnia, M. Mirzavaziri, A. R. Ashrafi and I. Gutman, Extremely irregular graphs, Kragujevac Journal of Mathematics 37 (1) (2013) 135-139.
152. H. Hua and A. R. Ashrafi, The multiplicative version of Wiener index, Journal of Applied Mathematics & Informatics 31 (3-4) (2013) 533-544.
153. A. Behmaram, H. Yousefi-Azari and A. R. Ashrafi, On the number of matchings and independent sets in (3,6)-fullerenes, MATCH Communications in Mathematical and in Computer Chemistry 70 (2) (2013) 525-532.
154. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Distribution of some graph invariants over hierarchical product of graphs, Applied Mathematics Computation 220 (2013) 405-413.
155. T. Dehghan-Zadeh, H. Hua, A. R. Ashrafi and N. Habibi, Extremal tri-cyclic graphs with respect to the first and second Zagreb indices, Note di Matematica 33 (2) (2013) 107-121.
156. M. Hakimi-Nezhaad, A. R. Ashrafi and I. Gutman, Note on degree Kirchhoff index of graphs, Transaction on Combinatorics 2 (3) (2013) 43-52.
157. M. Hakimi-Nezhaad and A. R. Ashrafi, Laplacian and normalized Laplacian spectral distances of graphs, Southeast Asian Bulletin of Mathematics 37 (5) (2013) 731-744.

2014

158. H. Khass, B. Bazigaran and A. R. Ashrafi, A short note on atoms and coatoms in subgroup lattices of groups, Algebraic Structures and their Applications 1 (2) (2014) 117-122.

159. M. Faghani and A. R. Ashrafi, Revised and edge revised Szeged indices of graphs, Ars Mathematica Contemporanea 7 (1) (2014) 153-160.

160. M. Ghorbani, M. Faghani, A. R. Ashrafi, S. Heidari Rad and A. Graovac, An upper bound for energy of matrices associated to an infinite class of fullerenes, MATCH Communications in Mathematical and in Computer Chemistry 71 (2) (2014) 341-354.

161. H. Hua, M. Faghani and A. R. Ashrafi, The Wiener and Wiener polarity indices of a class of fullerenes with exactly 12n carbon atoms, MATCH Communications in Mathematical and in Computer Chemistry 71 (2) (2014) 361-372.

162. F. Koorepazan Moftakhar, A. R. Ashrafi, Z. Mehranian, Symmetry and PI polynomials of C50+10n fullerenes, MATCH Communications in Mathematical and in Computer Chemistry 71 (2) (2014) 425-436.

163. M. Hakimi-Nezhaad, H. Hua, A. R. Ashrafi, S. Qian, The normalized Laplacian Estrada index of graphs, Journal of Applied Mathematics & Informatics 32 (1-2) (2014) 227-245.

164. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Studying the corona product of graphs under some graph invariants, Transactions on Combinatorics 3 (3) (2014) 43-49.

165. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Applications of the generalized hierarchical product of graphs in computing the vertex and edge PI indices of chemical graphs, Ricerche di Matematica 63 (2014) 59-65.

166. Z. Yarahmadi, A. R. Ashrafi and S. Moradi, Extremal values of augmented eccentric connectivity index of V-phenylenic nanotorus, Journal of Applied Mathematics & Computing 45 (2014) 35-42.

167. M. Mirzargar, P. P. Pach and A. R. Ashrafi, The automorphism group of commuting graph of a finite group, Bulletin of the Korean Mathematical Society 51 (2014) (4) 1145-1153.

168. M. Tavakoli, F. Rahbarnia, M. Mirzavaziri and A. R. Ashrafi, Complete solution to a conjecture of Zhang-Liu-Zhou, Transactions on Combinatorics 3 (4) (2014) 43-46.

169. G. Y. Katona, M. Faghani and A. R. Ashrafi, Centrosymmetric graphs and a lower bound for graph energy of fullerenes, Discussiones Mathematicae Graph Theory 34 (4) (2014) 751-768.

170. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Some new results on irregularity of graphs, Journal of Applied Mathematics & Informatics 32 (5-6) (2014) 675-685.

171. T. Dehghan-Zadeh, A. R. Ashrafi and N. Habibi, Maximum values of atom-bond connectivity index in the class of tetracyclic graphs, Journal of Applied Mathematics & Computing 46 (1-2) (2014) 285-303.

172. N. Habibi and A. R. Ashrafi, On revised Szeged spectrum of a graph, Tamkang Journal of Mathematics 45 (4) (2014) 375-387.

173. T. Dehghan-Zadeh and A. R. Ashrafi, Atom-bond connectivity index of quasi-tree graphs, Rendiconti del Circolo Matematico di Palermo, Second Series 63 (2014) 347-354.

174. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Eccentric connectivity and Zagreb coindices of the generalized hierarchical product of graphs, Journal of Discrete Mathematics 2014 (2014) Article ID 292679, 5 pp.

175. H. Shahani, A. R. Ashrafi and I. Gutman, On revised Szeged index of graphs, Utilitas Mathematica 95 (2014) 281-288.

176. M. Hakimi-Nezhaad and A. R. Ashrafi, A note on normalized Laplacian energy of graphs, Journal of the Contemporary Mathematical Analysis 49 (5)(2014) 207-211.

177. Z. Yarahmadi and A. R. Ashrafi, On characteristic subgraph of a graph, Italian Journal of Pure and Applied Mathematics 33 (2014) 101-106.

2015

178. M. Hakimi-Nezhaad and A. R. Ashrafi, Some types of spectral distances between a hypercube and its complement and line graph, Malaysian Journal of Mathematical Sciences 9 (1)(2015) 145-159.
179. A. R. Rahimipour, A. R. Ashrafi, A. Gholami, The existence of minimal logarithmic signatures for the sporadic Suzuki and simple Suzuki groups, Cryptography and Communications, Discrete Structures, Boolean Functions and Sequences 7 (4) (2015) 535-542.
180. A. R. Ashrafi, T. Dehghan-Zadeh and N. Habibi, Extremal atom-bond connectivity index of cactus graphs, Communications of the Korean Mathematical Society 30 (3) (2015) 283-295.
181. T. Dehghan-Zadeh, A. R. Ashrafi and N. Habibi, Tetracyclic graphs with extremal values of Randić index, Bollettino dell'Unione Matematica Italiana 8 (1) (2015) 9-16.
182. T. Dehghan-Zadeh, A. R. Ashrafi and N. Habibi, Maximum and second maximum of Randić index in the class of tricyclic graphs, MATCH Communications in Mathematical and in Computer Chemistry 74 (1) (2015) 137-144.
183. F. Koorepazan-Moftakhar and A. R. Ashrafi, Distance under Symmetry, MATCH Communications in Mathematical and in Computer Chemistry 74 (2) (2015) 259-272.
184. H. B. Walikar, S. B. Halkarni, H. S. Ramane, M. Tavakoli and A. R. Ashrafi, On neighbourly irregular graphs, Kragujevac Journal of Mathematics 39 (1) (2015) 31-39.
185. A. Tadayyonfar and A. R. Ashrafi, The zero divisor graphs of finite rings of cubefree order, FILOMAT 29 (8) (2015) 1715–1720.
186. G. R. Pourgholi, H. Yousefi-Azari and A. R. Ashrafi, The undirected power graph of a finite group, Bulletin of the Malaysian Mathematical Sciences Society 38 (4) (2015) 1517–1525.
187. M. Jalali-Rad and A. R. Ashrafi, Computing the products of conjugacy classes for specific finite groups, Journal of Algebraic Systems 3 (1) (2015) 83-95.
188. N. Akbari and A. R. Ashrafi, Note on the power graph of finite simple groups, Quasigroups and Related Systems 23 (2) (2015) 165-173.
189. Z. Shiri and A. R. Ashrafi, Dependence polynomials of some graph operations, Vietnam Journal of Mathematics 43 (4) (2015) 755-769.
190. N. Malekmohammadi and A. R. Ashrafi, Cayley graphs under graph operations II, Khayyam Journal of Mathematics, 1 (2) (2015) 151-163.

2016

191. A. R. Ashrafi, T. Dehghan-Zadeh, N. Habibi and P. E. John, Maximum values of atom–bond connectivity index in the class of tricyclic graphs, Journal of Applied Mathematics & Computing 50 (1-2) (2016) 511-527.
192. H. Khass, A. R. Ashrafi and B. Bazigaran, On starrable lattices, Matematički Vesnik 68 (1) (2016) 1-11
193. A. R. Ashrafi and H. Shabani, The modified Wiener index of some graph operations, Ars Mathematica Contemporanea 11 (2) (2016) 277-284.
194. Z. Mehranian, A. Gholami and A. R. Ashrafi, A note on the power graph of a finite group, International Journal of Group Theory 5 (1) (2016) 1-10.
195. S. Shabani and A. R. Ashrafi, Symmetry−moderated Wiener index, MATCH Communications in Mathematical and in Computer Chemistry 76 (1) (2016) 3-18.
196. A. R. Ashrafi and B. Soleimani, Normal edge-transitive and 1/2-arc-transitive Cayley graphs on non-abelian groups of order 2pq, p > q are primes, International Journal of Group Theory 5 (3) (2016) 1-8.
197. M. Tavakoli, F. Rahbarnia and A. R. Ashrafi, Tricyclic and tetracyclic graphs with maximum and minimum eccentric connectivity, Iranian Journal of Mathematical Sciences and Informatics, 11 (1) (2016) 137-143.
198. N. Habibi, T. Dehghan−Zadeh and A. R. Ashrafi, Extremal tetracyclic graphs with respect to the first and second Zagreb indices, Transactions on Combinatorics 5 (4) (2016) 35−55.
199. Ali Reza Ashrafi and Adel Tadayyonfar, The zero divisor graph of 2 × 2 matrices over a field, Quaestiones Mathematicae 39 (7) (2016) 977−990.
200. M. Jalali and A. R. Ashrafi, Erdös-Ko-Rado Properties of some finite groups, Siberian Electronic Mathematical Reports 13 (2016) 1249−1257.
201. H. Shabani, A. R. Ashrafi and M. Ghorbani, Note on markaracter tables of finite groups, SUT Journal of Mathematics 52 (2) (2016) 133−140.

2017

202. R. Nasiri, H. R. Ellahi, A. Gholami, G. H. Fath−Tabar and A. R. Ashrafi, Resolvent Estrada and Signless Laplacian Estrada Indices of Graphs, MATCH Communications in Mathematical and in Computer Chemistry 77 (1) (2017) 157−176.
203. M. Hamidi and A. R. Ashrafi, Fundamental relation and automorphism group of very thin Hv−groups, Communications in Algebra 45 (1) (2017) 130−140.
204. A. Hamzeh and A. R. Ashrafi, Automorphism groups of supergraphs of the power graph of a finite group, European Journal of Combinatorics 60 (1) (2017) 82−88.
205. Z. Mehranian, A. Gholami and A. R. Ashrafi, The Spectra of power graphs of certain finite groups, Linear and Multilinear Algebra 65 (5) (2017) 1003−1010.
206. A. R. Ashrafi, A. Gholami and Z. Mehranian, Automorphism group of certain power graphs of finite groups, Electronic Journal of Graph Theory and Applications 5 (1) (2017) 70–82.
207. A. Ghalavand and A. R. Ashrafi, Extremal graphs with respect to variable sum exdeg index via majorization, Applied Mathematics and Computation 303 (2017) 19–23.
208. I. Rezaee Abdolhosseinzadeh, F. Rahbarnia, M. Tavakoli and A. R. Ashrafi, Some vertex−degree−based topological indices under edge corona product, Italian Journal of Pure and Applied Mathematics 38 (2017) 81−91.
209. F. Koorepazan−Moftakhar and A. R. Ashrafi, Note on Symmetry of Molecules, MATCH Communications in Mathematical and in Computer Chemistry 78 (2) (2017) 273−279.
210. A. R. Ashrafi and A. Ghalavand, Ordering chemical trees by Wiener polarity index, Applied Mathematics and Computation 313 (2017) 301 – 312.
211. A. Ghalavand and A. R. Ashrafi, Extremal trees with respect to the first and second reformulated Zagreb index, Malaya Journal of Matematik 5 (3) (2017) 524–530.
212. F. Taghvaee and A. R. Ashrafi, On spectrum of I−graph and its ordering with respect to spectral moments, Le Matematiche 72 (1) (2017) 61–67.
213. S. Hossein−Zadeh, A. Iranmanesh, M. A. Hosseinzadeh, A. Hamzeh, M. Tavakoli and A. R. Ashrafi, Topological efficiency under graph operations, Journal Applied Mathematics and Computing 54 (1−2) (2017) 69–80.
214. E. Haghi and A. R. Ashrafi, Note on the cyclic subgroup intersection graph of a finite group, Quasigroups and Related Systems 25 (2) (2017) 245−250.
215. A. Hamzeh and A. R. Ashrafi, Spectrum and L−spectrum of the power graph and its main supergraph for certain finite groups, Filomat 31 (16) (2017) 5323−5334.

2018

216. A. Ghalavand and A. R. Ashrafi, Some inequalities between degree− and distance−based topological indices of graphs, MATCH Communications in Mathematical and in Computer Chemistry 79 (2) (2018) 399−406.
217. Ali Ghalavand, Ali Reza Ashrafi and Ivan Gutman, Extremal graphs for the second multiplicative Zagreb index, Bulletin of the International Mathematical Virtual Institute 8 (2018) 369−383.
218. A. Ghalavand and A. R. Ashrafi, Ordering chemical graphs by Randić and sum-connectivity numbers, Applied Mathematics and Computation 331 (2018) 160–168.
219. A. R. Ashrafi and B. Soleimani, Normal edge-transitive and 1/2−arc−transitive semi−Cayley graphs, Communications in Algebra 46 (3) 1287–1299.
220. H. Shabani, A. R. Ashrafi, E. Haghi and M. Ghorbani, The Q-conjugacy character table of dihedral groups, Italian Journal of Pure and Applied Mathematics 39 (2018) 89−96.
221. A. R. Rahimipour, A. R. Ashrafi and A. Gholami, The Existence of Minimal Logarithmic Signatures for Some Finite Simple Groups, Experimental Mathematics 27 (2) (2018) 138−146.
222. A. R. Ashrafi and B. Soleimani, Normal edge−transitive and 1/2−arc−transitive Cayley graphs on non−abelian groups of odd order 3pq, p and q are primes, Tamkang Journal of Mathematics 49 (3) (2018) 183−194.
223. E. Haghi and A. R. Ashrafi, On the Number of Cyclic Subgroups in a Finite Group, Southeast Asian Bulletin of Mathematics 42 (6) (2018) 865–873.
224. A. R. Ashrafi and F. Koorepazan-Moftakhar, Towards the classification of finite simple groups with exactly three or four supercharacter theories, Asian−European Journal of Mathematics 11 (5) (2018) 1850096 (21 pages).
225. A. R. Ashrafi, M. Eliasi, A. Ghalavand and O. Ori, Extremal tricyclic, tetracyclic, and pentacyclic graphs with respect to the Narumi, {Katayama index, ACTA et Commentationes Universitatis Tartuensis de Mathematica 22 (2) (2018) 261−278.
226. A. R. Ashrafi and F. Koorepazan-Moftakhar, On normal graph of a finite group, Filomat 32 (11) (2018) 4047−4059.
227. H. Asma and A. R. Ashrafi, The order supergraph of the power graph of a finite group. Turkish Journal of Mathematics 42 (4) (2018) 1978–1989.

2019

228. A. Ghalavand and A. R. Ashrafi, Bounds on the Entire Zagreb Indices of Graphs, MATCH Communications in Mathematical and in Computer Chemistry 81 (2) (2019) 399−406.
229. A. Ghalavand, M. Eliasi and A. R. Ashrafi, Relations between Wiener, hyper-Wiener and some Zagreb type indices, Kragujevac Journal of Science 41 (2019) 37−42.
230. A. Hamzeh and A. R. Ashrafi, Some remarks on the order supergraph of the power graph of a finite group, International Electronic Journal of Algebra, 26 (2) (2019) 1−12.
231. A. Ghalavand, A. R. Ashrafi, R. Sharafdini and O. Ori, Extremal chemical trees with respect to Hyper−Zagreb index, Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics 26 (3) (2019) 177−188.
232. A. R. Ashrafi, A. Ghalavand and A. Ali, Molecular trees with the sixth, seventh and eighth minimal irregularity values, Discrete Mathematics, Algorithms and Applications 11 (1) (2019) 1950002, 10 pp.
233. A. Ghalavand, M. Eliasi and A. R. Ashrafi, First degree-based entropy of graphs, Journal of Applied Mathematics and Computing 59 (1−2) (2019) 37−46.
234. M. V. Diudea, M. Medeleanu, Z. Khalaj and A. R. Ashrafi, Spongy diamond, Iranian Journal of Mathematical Chemistry 10 (1) (2019) 1−9.
235. M. Soleimani, M. H. Naderi and A. R. Ashrafi, Tensor product of the power graphs of some finite rings, Facta Universitatis Series Mathematics and Informatics 34 (1) (2019) 101–122.
236. A. R. Ashrafi and F. Koorepazan-Moftakhar, Counting the number of supercharacter theories of a finite group, Comptes Rendus Mathematique 357 (2019) 323–326.
237. H. B. Shelash and A. R. Ashrafi, Computing maximal and minimal subgroups with respect to a given property in certain finite groups, Quasigroups and Related Systems 27 (1) (2019) 133–146.
238. A. R. Ashrafi, F. Gholaminezhad and M. Yousefi, On a special quotient of the generating graph of a finite group, Bulletin of the Malaysian Mathematical Sciences Society 42 (4) (2019) 1831−1852.
239. M. Aghel, A. Erfanian and A. R. Ashrafi, On the first and second Zagreb indices of quasi unicyclic graphs, Transactions on Combinatorics 8 (3) (2019) 29−39.
240. A. R. Ashrafi, M. Eliasi and A. Ghalavand, Laplacian coefficients and Zagreb indices of trees, Linear and Multilinear Algebra 67 (9) (2019) 1736−1749.
241. A. Ghalavand and A. R. Ashrafi, Ordering chemical unicyclic graphs by Wiener polarity index, International Journal of Quantum Chemistry 119 (17) (2019) e25973.
242. A. R. Ashrafi, A. Bretto and F Gholaminezhad, The automorphism groups of the involution G-graph and Cayley graph, Southeast Asian Bulletin of Mathematics 43 (6) (2019) 775–789.
243. A. R. Ashrafi and E. Haghi, On n-Cyclic Groups, Bulletin of the Malaysian Mathematical Sciences Society 42 (6) (2019) 3233−3246.
244. M Torktaz and A. R. Ashrafi, Spectral properties of the commuting graphs of certain groups, AKCE International Journal of Graphs and Combinatorics 16 (3) (2019) 300−309.
245. M. A. Salahhsour and A. R. Ashrafi, On capable groups of order p4, Facta Universitatis Series Mathematics and Informatics 34 (4) (2019) 633–640.
246. A. Ghalavand and A. R. Ashrafi, Maximum Zagreb indices among all p−quasi k−cyclic graphs, Journal of Algorithms and Computation 51 (2) (2019) 75 – 82.

2020

247. A. Ghalavand, A. Ashrafi and I. Gutman, New upper and lower bounds for some degree−based graph invariants, Kragujevac Journal of Mathematics 44 (2) (2020) 181−188.
248. M. A. Salahshour and A. R. Ashrafi, Commuting Conjugacy Class Graph of Finite CA-Groups, Khayyam Journal of Mathematics 6 (1) (2020) 108−118.
249. A. Ghalavand and A. R. Ashrafi, On forgotten coindex of chemical graphs, MATCH Communications in Mathematical and in Computer Chemistry 83 (1) (2020) 221−232.
250. A. R. Ashrafi and A. Ghalavand, Note on non-regular graphs with minimal total irregularity, Applied Mathematics and Computation 369 (2020) 124891.
251. A. Ghalavand and A. R. Ashrafi, Ordering of c-cyclic graphs with respect to total irregularity, Journal of Applied Mathematics and Computing 63 (1−2) (2020) 707−715.
252. M. A. Salahshour and A. R. Ashrafi, Commuting conjugacy class graphs of finite groups, Algebraic Structures and Their Applications 7 (2) (2020) 135−145.
253. A. R. Ashrafi, F. Koorepazan-Moftakhar and M. A. Salahshour, Counting the number of centralizers of 2−element subsets in a finite group, Communications in Algebra 48 (11) (2020) 4647−4662.
254. H. B. Shelash and A. R. Ashrafi, Table of marks and markaracter table of certain finite groups, Quasigroups and Related Systems 28 (1) (2020) 159−170.
255. S. Madani and A. R. Ashrafi, Symmetry and two symmetry measures for the web and spider web graphs, Journal of Applied Mathematics and Computing 64 (1−2) (2020) 1−12.
256. A. Ghalavand and A. R. Ashrafi, Laplacian coefficients of trees, Rad Hrvatske akademije znanosti i umjetnosti : Matematičke znanosti 24 (2020) 1−14.
257. A. R. Ashrafi, L. Ghanbari−Maman, K. Kavousi and F. Koorepazan−Moftakhar, An algorithm for constructing all supercharacter theories of a finite group, ARS Mathematical Contemporanea 18 (1) (2020) 149−162.
258. K. C. Das, A. R. Ashrafi and A Ghalavand, Comparison between Szeged indices of graphs, Quaestiones Mathematicae 43 (8) (2020) 1031−1046.

2021

259. H. B. Shelash and A. R. Ashrafi, The number of subgroups of a given type in certain finite groups, Iranian Journal of Mathematical Sciences and Informatics 16 (2) (2021) 73−87.
260. K. C. Das, A. Ghalavand and A. R. Ashrafi, On a conjecture about the Sombor index of graphs, Symmetry 13 (10), 1830.
261. A. Ghalavand, A. R. Ashrafi and M. Pourbabaee, Extremal values of Randić index among some classes of graphs, Mathematical Problems in Engineering 2021 Article ID 7758172; available at https://doi.org/10.1155/2021/7758172.
262. G. K. Gök and A. R. Ashrafi, Some bounds for the resolvent energy, Applied Mathematics and Computation 397 (2021) 125958; available at https://doi.org/10.1016/j.amc.2021.125958.
263. A Ghalavand, A. R. Ashrafi and M. Hakimi-Nezhaad, On Mostar and edge Mostar indices of graphs, Journal of Mathematics 2021 Article ID 6651220; available at https://doi.org/10.1155/2021/6651220.
264. S. Mahdavi, A. R. Ashrafi, M. A. Salahshour and A. A. Ungar, Construction of 2-gyrogroups in which every proper subgyrogroup is either a cyclic or a dihedral group, Symmetry 13 (2) (2021) 316; available at https://doi.org/10.3390/sym13020316.
265. M. R. Oboudi, A. Z. Abdian, A. R. Ashrafi and L. W. Beineke, Laplacian spectral determination of path-friendship graphs, AKCE International Journal of Graphs and Combinatorics 18 (1) (2021) 33−38; available at https://doi.org/10.1080/09728600.2021.1917321.
266. F. Fayazi, A. Gholami and A. R. Ashrafi, A Lie algebra approach on maximal self complementary C3 codes, MATCH – Communications in Mathematical and in Computer Chemistry 85 (3) (2021) 545−553; available at

2022

267. A. R. Rahimipour and A. R. Ashrafi, The existence of minimal logarithmic signatures for some finite simple unitary groups, Vietnam Journal of Mathematics 50 (2022) 217–227.
268. M. Torktaz and A. R. Ashrafi, Distance Laplacian spectrum of the commuting graph of finite groups, Journal of Algebraic Systems 9 (2) (2022) 193−201.
269. K. C. Das, S. Bakaein Mahdavi, M. Tavakoli, F. Rahbarnia and A. Ashrafi, List coloring under some graph operations, Kragujevac Journal of Mathematics 46 (3), 417−431.
270. S. Bakaein Mahdavi, M. Tavakoli, F. Rahbarnia and A. Ashrafi, Star coloring under some graph operations, Asian−European Journal of Mathematics, 15 (4) (2022) 2250079.
271. A. R. Ashrafi and A. Ghalavand, On edge-degree based invariants of graphs, Asian−European Journal of Mathematics, 15 (9) (2022) 2250161 (14 pages).

Memorial Of The Great Scientist Professor Ali Reza Ashrafi