Ali Reza Ashrafi

Professor of Mathematics

 

Address:

Department of Mathematics

Faculty of Science

University of Kashan

Km. 6, Ravand Road

Kashan, Iran.

E-Mail: ashrafi@kashanu.ac.ir

arashrafi@kashanu.ac.ir

Education:

1996 Ph.D Pure Methematics

University of Tehran, Iran.

Thesis topic: The Irreducible Character Table of the Group Aut(PSL(5,3))

1991 M.Sc. Pure Mathematics

Shahid Beheshti University, Iran

Project Topic: Monoidal Categories

1989 B.Sc. Pure Mathematics

Teacher Training University of Tehran, Iran.

 

Honors:

2008 The 1st Iranian Scientist in Nanotechnology

2007 The 8th Iranian Scientist in Nanotechnology

2005-present Editor-in-Chief of Global Journal of Pure and Applied Mathematical

Sciences(GJPAMS).

2006 Distinguished Researcher of the University of Kashan.

2005-present Member of Editorial Board of MATCH Communications in Mathematical

and in Computer Chemistry.

2004 Distinguished Researcher of the University of Kashan.

2004 The Best Researcher in Mathematics and Seventh Researcher of the Isfahan

Province.

2004-present Editor-in-Chief of International Journal of Pure and Applied Mathematical

Sciences(IJPAMS).

2004-present Member of Editorial Board of Journal of Applied Algebra and Discrete

Structures(JAADS).

2002 Distinguished Professor of the University of Kashan.

2001 Distinguished Researcher of the University of Kashan.

2001-present Reviewer of Mathematical Review Published by the American Mathematical

Society.

2000-2003 Editor-in-Chief of International Journal of Science and Technology of the

University of Kashan(IJSTUK).

1998-present Member of the American Mathematical Society.

1995 Top Student in Ph.D Class of 1995, University of Tehran, Iran.

1991-present Member of the Iranian Mathematical Society.

Academic Employment:

2005-present Professor of Mathematics, Department of Mathematics, University of

Kashan, Kashan, Iran.

2001-2005 Associate Professor of Mathematics, Department of Mathematics, University

of Kashan, Kashan, Iran.

2000-2001 Dean of the Faculty of Science, University of Kashan, Kashan, Iran.

1999 Vice Dean of the Faculty of Science, University of Kashan, Kashan, Iran.

1996-2000 Assistant Professor of Mathematics, Department of Mathematics, University

of Kashan, Kashan, Iran.

 

Subject Taught:

Undergraduate Level: Projective Geometry, Number Theory, Algebra, Linear Algebra,

Graph Theory, Ordinary Differential Equation, Galois Theory, Calculus, Group

Theory and Ring Theory.

Postgraduate Level: Category Theory, Lattice Theory, Group Theory, Character

Theory, Advanced Algebra, Linear Groups, Permutation Groups, Lie Algebras,

Computational Group Theory, Applications of Group Theory in Physics, Graph

Theory, Algebraic Graph Theory.

Present Research Works:

Finite Groups, Subgroup Lattices, Partition Theory, Theory of Hyperstructures,

Character Theory of Finite Groups, Mathematical Chemistry, Mathematical Physics,

Mathematical Biology, Mathematical Nanoscience.

Journal Papers:

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 J. of Pure and Appl. Math., No 3 (1998), 127–135.

4. A.R. Ashrafi, On the number of minimal and maximal subgroup of a finite group,

J. Sci. Univ. Tehran, (Sec. A: Mathematics), Vol. 3(1998), 15–20.

1999

5. A.R. Ashrafi, The problem of intervals, Southeast Asian Bulletin of Mathematics,

(1999) 23() 551–557.

2000

6. A.R. Ashrafi, On finite group with a given number of centralizers, Algebra Coloquium,

7(2) (2000) 139–146.

7. A.R. Ashrafi, An exact expression for the partition function p(n), Far East J.

Math. Sci. (FJMS) 2(2)(2000), 271–278.

8. A.R. Ashrafi, Counting the centralizers of some finite groups, Korean J. Comput.

& Appl. Math., 7(1)(2000), 115–124.

9. M. R. Darafsheh and A.R. Ashrafi, (2, p, q)-Generations of the Conway group

Co1, Kumamoto J. Math. 13(2000), 1–20.

10. A.R. Ashrafi and A. Gordji, On existence of some k-SOLSSOMs, Divulgaciones

Matematicas, 8(1)(2000), 25–29.

11. A.R. Ashrafi, Construction of some Join Spaces from Boolean Algebras, Iranian

Int. J. of Sci. 4(1)(2000), 51–57.

2001

12. A.R. Ashrafi, About some Join spaces and Hyperlattices, Italian J. of Pure and

Applied Mathematics, 10(2001), 199–205

13. M. R. Darafsheh, A.R. Ashrafi and M. Moghani, (p,q,r)-Generations of the

Conway group Co1, for odd p, Kumamoto J. Math. 14(2001), 1–20.

14. A.R. Ashrafi and R. Soleimani, On the Number of Maximal Theta Pairs in a

Finite Group, Acta Math. et Informatica Universitatis Ostraviensis, 9(2001), 5–12.

15. A.R. Ashrafi and Zhao Yaoqing, On s-Completions and Theta-Completions for

Maximal Subgroups, Int. J. Math. Game Theory Algebra 11(4)(2001), 93–101.

2002

16. Zhao Yaoqing and A.R. Ashrafi, On S-completions and theta-completions for

maximal subgroups. Int. J. Math. Game Theory Algebra 12(3)(2002), 225–233.

17. A.R. Ashrafi and H. Sahraei, On Finite Groups Whose Normal Subgroups Have

the Same Number of Conjugacy Classes, Vietnam J. Math., 30(3)(2002), 289–294.

18. A.R. Ashrafi, Generating Pairs for the Held Group He, J. Appl. Math. &

Computing, 10(2002), 167–174.

19. A.R. Ashrafi, A. Hossein Zadeh and M. Yavari, Hypergraphs and Join Spaces,

Italian Journal of Pure and Applies Mathematics, 12(2002), 185–196.

20. 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

21. A.R. Ashrafi and A. R. Eslami-Harandi, Construction of Hypergroups from

Combinatorial Structures, J. Zhejiang University Science, 4(1)(2003), 76–79

22. 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.

23. M. R. Darafsheh and A.R. Ashrafi, Generating Pairs for the Sporadic Group

Ru, J. Appl. Math. & Computing, 12(1-2)(2003), 143–154.

24. M. R. Darafsheh, A.R. Ashrafi and G.A. Moghani, (p, q, r)−generations and

nX-complementary generations of the sporadic group Ly, Kumamoto J. Math.

16(2003), 13–25.

25. M. Hamadanian and A.R. Ashrafi, The Full Non-Rigid Group Theory for

Trimethylamine, Int. J Math & Math Sci., 42 (2003), 2701-2706.

26. A.R. Ashrafi, nX-Complementary Generations of the Harada-Norton Group

HN, Acta Math. et Informatica Universitatis Ostraviensis, 11(2003), 3–9.

27. A.R. Ashrafi and Zhao Yaoqing, On 5− and 6−Decomposable Finite Groups,

Mathematica Slovaca, (53)(4) (2003), 373–383.

28. M. Hamadanian and A.R. Ashrafi, The Full Non-Rigid Group Theory for Cis-

& Trans-DiaminoDichloroPlatinum(II) and Trimethylamine, Croatica Chem Acta,

76(4) (2003), 305–312.

29. A.R. Ashrafi and M. Hamadanian, The Full Non-Rigid Group Theory for

TetraaminoPlatinum(II), Croatica Chem Acta, 76(4) (2003), 299–303.

30. 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.

31. A.R. Ashrafi, On X−decomposable finite groups, Mathematical journal of the

Armenian Academy of Sciences, 38(5)(2003), 5–10.

32. 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

33. A.R. Ashrafi and M. Hamadanian, Group Theory for TetraamminePlatinum(II)

with C2v and C4v Point Group in the Non-Rigid System, J. Appl. Math. & Computing,

14(2004), 289–303.

34. A.R. Ashrafi, On decomposability of finite groups, J. Korean Math. Soc.,

41(2004), 479–487.

35. K. Mehrabadi, A.R. Ashrafi and A. Iranmanesh, (p, q, r)−Generations of the

Suzuki Group Suz, Int. J. Pure Appl. Math. 11(4)(2004), 447–463.

36. 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.

37. A.R. Ashrafi and Geetha Venkataraman, On Finite Groups Whose Every Normal

Subgroup is a Union of a Given Number of Conjugacy Classes, Proc. Indian Acad.

Sci.(Math Sci.), 114(3)(2004), 217–224.

38. M.R. Darafsheh, A.R. Ashrafi and G.A. Moghani, nX-complementary generations of the sporadic group ON, Southeast Asian Bull. of Math., 28(6) (2004),

1011–1019.

2005

39. A.R. Ashrafi and B. Taeri, On finite group with a certain number of centralizers,

J. Appl. Math. Comput. 17(1-2) (2005), 217–227.

40. A.R. Ashrafi, On Non-Rigid Group Theory for some Molecules, MATCH Commun.

Math. Comput. Chem., 53(1)(2005), 161–174.

41. M.R. Darafsheh, Y. Farjami and A.R. Ashrafi, Computing the Full Non-Rigid

Group of Tetranitrocubane and Octanitrocubane Using Wreath Product, MATCH

Commun. Math. Comput. Chem., 54(1)(2005), 53–74.

42. G.A. Moghani, A.R. Ashrafi and M. Hamadanian, Symmetry Properties of

Tetraammine Platinum(II) with C2v and C4v Point Groups, J. Zhejiang University

Science, 6B(3) (2005), 222–226.

43. A.R. Ashrafi, On Symmetry Properties of Molecules, Chemical Physics Letters,

403 (2005), 75–80.

44. A.R. Ashrafi and M. Hamadanian, Full Non-Rigid Group Theory and Symmetry

of Melamine, Journal of the Iranian Chemical Society, 2(2)(2005) 135–139.

45. M.R. Darafsheh, Y. Farjami and A.R. Ashrafi, Symmetries of Weighted Complete

Graph of Tetranitrocubane and Octanitrocubane, MATCH Commun. Math.

Comput. Chem., 54(2) (2005), 331-340.

46. M.R. Darafsheh, Y. Farjami and A.R. Ashrafi, The Non-Rigid Group of Tetraamine

Platinum(II) as a Wreath Product, Bulletin of the Chemical Society of Japan, 78(6)

(2005), 996–1000.

47. A.R. Ashrafi and A. Iranmanesh, nX-Complementary Generations of the Rudvalis

Group Ru, Vietnam J. Math. 33(1) (2005), 1–7 .

48. A.R. Ashrafi and M.R. Ahmadi, New Computer Program to Calculate the

Symmetry of Molecules, Central European Journal of Chemistry, 3(4)(2005), 647–

657.

49. A.R. Ashrafi and Wujie Shi, On 7− and 8−Decomposable Finite Groups, Math

Slovaca, 55(3)(2005), 253–262.

50. A.R. Ashrafi, The Full Non-Rigid Group and Symmetry of DimethylTrichloroPhosphorus,

Chinese Journal of Chemistry, 23(7)(2005), 829–834.

51. A.R. Ashrafi and M. Hamadanian, Symmetry Properties of some Chemical

Graphs, Croatica Chemica Acta, 78(2)(2005), 159–163.

52. G.A. Mansoori, G.R. Vakili-Nezhad and A.R. Ashrafi, Some Mathematical

Concepts Applicable in Nanothermodynamics, Int. J. Pure Appl. Math. Sci.,

2(1)(2005), 58–61.

53. M.R. Darafsheh, A.R. Ashrafi and A. Darafsheh, Computing the Full Non-Rigid

Group of Tetra-tert-butyltetrahedrane Using Wreath Product, Int. J. Quantum

Chem., 105(5)(2005), 485–492.

54. M.R. Darafsheh, A.R. Ashrafi and A. Darafsheh, Group Theory for Tetramethylethylene,

Acta Chimica Slovenica, 52(3)(2005), 282–286.

55. A.R. Ashrafi and M.R. Ahmadi, Automorphism Group and Topological Indices

of the Chemical Graph of Fullerenes, The Internet Journal of Nanotechnology,

1(2)(2005).

2006

56. A.R. Ashrafi, (p, q, r)−Generations of the Sporadic Group HN, Taiwanese J.

Mathematics, 10(3)(2006), 613–629.

57. A.R. Ashrafi and A. Loghman, PI Index of Zig-Zag Polyhex Nanotubes, MATCH

Commun. Math. Comput. Chem., 55(2)(2006), 447–452.

58. Sh. Yousefi and A.R. Ashrafi, An Exact Expression for the Wiener Index of

a Polyhex Nanotorus, MATCH Commun. Math. Comput. Chem., 56(1)(2006),

169–178.

59. A.R. Ashrafi and A.R. Ahmadi, Symmetry of Fullerene C60, J. Math. Sci. &

Informatics, 1(1) (2006), 1–13.

60. A.R. Ashrafi and G.A. Moghani, nX−complementary generations of the Fischer

group Fi23, J. Appl. Math & Computing, 21(1-2) (2006), 393–409.

61. M.R. Darafsheh, A.R. Ashrafi and A. Darafsheh, The Full Non-Rigid Group

of Hexamethylbenzene Using Wreath Product, Chem. Phys. Letters, 421(2006),

566–570.

62. A.R. Ashrafi and A. Loghman, PI Index of Armchair Polyhex Nanotubes, ARS

Combinatoria, 80(2006), 193–199.

63. A.R. Ashrafi and A. Loghman, Padmakar-Ivan Index of TUC4C8(S) Nanotubes,

J. Comput. and Theor. Nanosci., 3(3)(2006), 378–381.

64. A. Gholami, A.R. Ashrafi and M. Ghorbani, Symmetry of Benzenoid Chains,

Bull. Chem. Technol. Macedonia, 25(1)(2006), 23–27.

65. A.R. Ashrafi, On a New Algorithm For Computing Symmetry of Big Fullerenes,

Collect. Czech Chem. Commun., 71(9)(2006), 1270-1277. [doi:10.1135/cccc20061270]

66. A.R. Ashrafi and A. Loghmam, PI Index of some Benzenoid Graphs, J. Chilean

Chem. Soc., 51(3)(2006), 968–970.

67. A. Iranmanesh and A.R. Ashrafi, Generalized Latin Squares, J. Appl. Math. &

Computing, 22(1-2)(2006), 285–293.

68. A.R. Ashrafi and B. Taeri, On finite groups with exactly seven element centralizers,

J. Appl. Math. & Computing, 22(1-2)(2006), 403–410.

69. A.R. Ashrafi, B. Manoochehrian and H. Yousefi-Azari, PI Polynomial of a

Graph, Utilitas Mathematica, 71(2006),97–108.

70. G.A. Moghani and A.R. Ashrafi, Symmetry Properties of some Transitive Chemical

Graphs, Croat. Chem. Acta, 79(3) (2006), 465–469.

71. M. Ghorbani and A.R. Ashrafi, Counting the Number of Hetero Fullerenes, J.

Comput. Theor. Nanosci., 3(5)(2006), 803–810.

72. M. Alaeiyan and A.R. Ashrafi, On a Class of p-Groups and its Cayley Graphs,

On a class of p-groups and its Cayley graphs. Ital. J. Pure Appl. Math. 20 (2006),

169–176.

73. A. Gholami, J. Safaei, A.R. Ashrafi and M. Ghorbani, Symmetry of TetrahydroxyCalix[

4]arenes, J. Serb. Chem. Soc., 71(10)(2006), 1025–1029.

74. 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.

75. A. Andikfar and A.R. Ashrafi, On Finite Groups all of whose Proper Subgroups

are w-Cyclic, Carpathian J. Math. 22(1-2)(2006), 1–5.

76. A.R. Ashrafi and M. Hamadanian, On the Symmetry of Bis Benzene Chromium(0)

with D6d Point Group, J. Argentine Chem. Soc. 94(4/6) (2006), 47–53.

2007

77. M. R. Darafsheh, A.R. Ashrafi and A. Darafsheh, Non-rigid group theory for

1,3,5-trimethylbenzene, Int. J. Quant. Chem., 107(2) (2007), 340–344.

78. A.R. Ashrafi and F. Rezaei, PI Index of Polyhex Nanotori, MATCH Commun.

Math. Comput. Chem., 57(1)(2007), 243–250.

79. A.R. Ashrafi and A. Gholami, Symmetry of Tetra-tert-butyltetrahedrane, Asian

J. Chem., 19(1)(2007), 569-573.

80. A. R. Ashrafi and S. Yousefi, Computing the Wiener Index of a TUC4C8(S)

Nanotorus, MATCH Commun. Math. Comput. Chem., 57(2)(2007), 403–410.

81. M. Ghorbani and A.R. Ashrafi, The Cycle Index of the Symmetry Group of

Fullerenes C24 and C150, Asian J. Chem., 19(2)(2007), 1109-1114.

82. B. Manoochehrian, H. Yousefi-Azari and A.R. Ashrafi, PI Polynomial of some

Benzenoid Graphs, MATCH Commun. Math. Comput. Chem., 57(3)(2007), 653–

664.

83. M.R. Darafsheh, Y. Farjami, A.R. Ashrafi and M. Hamadanian, Full Non-Rigid

Group of Sponge and Pina, J. Math. Chem., 41(3)(2007), 315–326.

84. A.R. Ashrafi and S. Yousefi, A note on Equiseparable trees, Iranian J. Math.

Sci. and Inf., 1(3)(2007), 25–30.

85. A. R. Ashrafi and H. Saati, PI and Szeged Indices of a VC5C7[4p,8] Nanotube,

Int. J. Nanoscience, 6(1)(2007), 77–83.

86. M. R. Darafsheh, A. R. Ashrafi, A. Darafsheh, Non-Rigid Group Theory for

2,3-Dimethylbutane, MATCH Commun Math Comput Chem, 58(1)(2007), 47–56.

87. A. Iranmanesh and A.R. Ashrafi, Balaban Index of an Armchair Polyhex,

TUC4C8(R) and TUC4C8(S) Nanotorus, J Comput Theor Nanosci, 4(3)(2007), 514–

517.

88. H. Yousefi, A. Bahrami, J. Yazdani and A.R. Ashrafi, PI Index of V-Phenylenic

Nanotubes and Nanotori, J Comput Theor Nanosci 4(3)(2007), 704–705.

89. A. R. Ashrafi and S. Yousefi, A New Algorithm for Computing Distance Matrix

and Wiener Index of Zig-zag Polyhex Nanotubes, Nanoscale Res. Lett., 2(2007),

202–206.

90. A.R. Ashrafi, B. Manoochehrian and H. Yousefi-Azari, On Szeged polynomial

of a graph, Bull. Iranian Math. Soc. 33(1)(2007), 37–46.

91. 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.

92. A.R. Ashrafi and A. Iranmanesh, Counting the Number of Theta Pairs in a

Finite Group, Int. J. Appl. Math. and Stat., 11(V07) (2007), 7–12.

93. A. R. Ashrafi and H. Saati, PI and Szeged Indices of a One-Pentagonal Carbon

Nanocone, J. Comput. Theor. Nanosci. 4(4) (2007), 761-763.

94. S. Yousefi and A.R. Ashrafi, An Exact Expression for the Wiener Index of a

TUC4C8(R) Nanotorus, J. Math. Chem., 42(4)(2007), 1031–1039.

95. H. Yousefi-Azari, J. Yazdani, A. Bahrami and A.R. Ashrafi, Computing PI and

Szeged Indices of Multiple Phenylenes and Cyclic Hexagonal-Square Chain Consisting

Mutually Isomorphic Hexagonal Chains, J. Serb. Chem. Soc., 72(11) (2007),

1063–1067.

96. G. R. Vakili-Nezhaad, G. A. Mansoori and A. R. Ashrafi, Symmetry Property

of Fullerenes, J. Comput. Theor. Nanosci., 4(6)(2007), 1202–1205.

2008

97. H. Yousefi-Azari, A. Bahrami and A.R. Ashrafi, Computing PI Index of HAC5C6C7

Nanoubes and Nanotori, J. Comput. Theoret. Nanosci. (In press).

98. A.R. Ashrafi and A. Loghman, PI Index of a TC4C8(R) Nanotorus, J. Comput.

Theor. Nanosci. (In press).

99. A.R. Ashrafi, F. Rezaei and A. Loghman, PI Index of the C4C8(S) nanotorus,

Revue Roumaine de Chimie (In press).

100. M. Yavari and A. R. Ashrafi, Computing Orbits of Big Fullerenes, Asian J

Chem 20(1)(2008), 409–416.

101. H. Yousefi-Azari, A.R. Ashrafi, A. Bahrami and J. Yazdani, Computing Topological

Indices of Some Types of Benzenoid Systems and Nanostars, Asian J. Chem.,

20(1)(2008), 15–20.

102. B. Manoochehrian, H. Yousefi-Azari and A. R. Ashrafi, Szeged Index of a

Zig-zag Polyhex Nanotube, Ars Combinatoria, 86 (2008), 371-379.

103. A.R. Ashrafi, M.R. Darafsheh and M. Khademi, Some designs related to group

actions, ARS Combinatoria, 86(2008), 65-75.

104. M. R. Darafsheh, A. R. Ashrafi and A. Darafsheh, The Symmetry Group of

Non-Rigid Tetramethylsilane, Int J Quantum Chem, 108(3)(2008), 440-446.

105. A. R. Ashrafi and W. J. Shi, On 9− and 10− Decomposable Finite Group, J

Appl Math & Computing (In press).

106. A. R. Ashrafi and H. Saati, Relationship Between PI and Szeged Indices of

a Triangulane and its Associated Dendrimer, J. Comput. Theoret. Nanosci. (In

press).

107. A R Ashrafi and A. Loghman, Computing Padmakar-Ivan Index of a TC4C8(R)

Nanotorus, J. Comput. Theoret. Nanosci. (In press).

108. H. Yousefi-Azari and A.R. Ashrafi, Padmakar-Ivan Index of q-Multi-walled

Carbon Nanotubes and Nanotori, J. Comput. Theoret. Nanosci. (In press).

109. H. Yousefi-Azari, B. Manoochehrian and A. R. Ashrafi, Szeged Index of Some

Nanotubes, Curr. Appl. Phys. (In press).

110. I. Gutman and A. R. Ashrafi, The Edge Version of the Szeged Index, Croat.

Chem. Acta (In press).

111. I. Gutman and A. R. Ashrafi, On the PI Index of Phenylenes and their Hexagonal

Squeezes, MATCH Commun. Math. Comput. Chem. (In press).

112. M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi and Ivan Gutman, The Edge

Szeged Index of Product Graphs, Croat. Chem. Acta (In press).

113. H. Yousefi-Azari, B. Manoochehrian and A. R. Ashrafi, PI Index of Product

Graphs, Applied Math. Letters (In press).

114. M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, Vertex and Edge PI Indices

of Cartesian Product Graphs, Discrete Appl. Math. (In Press).

115. A. Gholami, A. R. Ashrafi and F. Nazari, Calculating the Symmetry of Hexamethylcyclohexane,

Macedonian J Chem Chem Eng (In press).

116. A. R. Ashrafi and M. Ghorbani, A Note on Markaracter Tables of Finite

Groups, MATCH Commun Math Comput Chem (In press).

117. M. Ghorbani, M. Jalal-Abadi and A. R. Ashrafi, Computing Orbits of the

Automorphism Group of the Subsequence Poset Bm,n, Southeast Asian Bull. Math.

(In press).

118. S. Yousefi and A. R. Ashrafi, An Algorithm for Constructing Wiener Matrix

of TUC4C8(R) Nanotubes, Current Nanoscience (In press).

119. A. R. Ashrafi, M. Ghorbani and M. Jalali, The Vertex PI and Szeged Polynomials

of an Infinite Family of Fullerenes, J. Theor. Comput. Chem. (in press).

2009

120. A. R. Ashrafi, M. R. Darafsheh and M. Khademi, On Designs Constructed by

Group Actions, J Combin Math & Combin Comput (In press).

 

 

Conference Papers:

1. M.R. Darafsheh and A.R. Ashrafi, The character table of the certain group,

Proceedings of 26th AIMC, Shahid Bahonar University, (1995), 37-41.

2. M.R. Darafsheh and A.R. Ashrafi, The problem of intervals in the subgroup

lattice of a finite group, 27th Annual of Iranian Mathematics Conference (AIMC),

Shiraz University, (1996), Shiraz, Iran.

3. A.R. Ashrafi, On the Cohns conjecture, Proceedings of the 8th Algebra Seminar

of the Iranian Math. Soc., 17-18 December 1996, University of Tehran, Iran, 1-7.

4. A.R. Ashrafi, A note on the number of minimal subgroups in a finite group,

Proceedings of 28th AIMC, Tabriz University, (1997), 51-54.

5. M. R. Darafsheh, A.R. Ashrafi and G.A. Moghani, (p,q,r)-Generations of the

sporadic group ON, Groups St. Andrews 2001 in Oxford , Vol. 1 (Oxford, 2001),

101–109, London Math. Soc. Lecture Note Ser., 304, Cambridge Univ. Press,

Cambridge, 2003.

6. A.R. Ashrafi and H. Sahraei, Subgroups which are a union of a given number of

conjugacy classes, Groups St. Andrews 2001 in Oxford , Vol. 1 (Oxford, 2001), 22–

26, London Math. Soc. Lecture Note Ser., 304, Cambridge Univ. Press, Cambridge,

2003.

7. A.R. Ashrafi and B. Taeri, Classification of Finite Groups by the Number of

Element Centralizers, Campbell, C.M. (ed.) et al., Groups St Andrews 2005. Vol.

I. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005.

Cambridge: Cambridge University Press. London Mathematical Society Lecture

Note Series 339, 148-157 (2007).

8. G.A. Moghani, A.R. Ashrafi, S. Naghdi and M.R. Ahmadi, Automorphism Group

of some Chemical Graphs, Campbell, C.M. (ed.) et al., Groups St Andrews 2005.

Vol. II. Selected papers of the conference, St. Andrews, UK, July 30–August 6, 2005.

Cambridge: Cambridge University Press. London Mathematical Society Lecture

Note Series 340, 630-639 (2007).

8. H. Yousefi-Azari, B. Manoochehrian and A.R. Ashrafi, Szeged index of some

nanotubes, Proceedings of Nano Korea 2006, August 29 - September 1, KINTEX,

Korea, pp. 1331–1334.

9. B. Manoochehrian, H. Yousefi-Azari and A.R. Ashrafi, Wiener index of some

11

molecular graphs related to nanotubes and nanotori, Proceedings of Nano Korea

2006, August 29 - September 1, KINTEX, Korea, pp. 1335–1338.

10. A. R. Ashrafi, PI index of Nanotubes and Nanotori,Proceedings of Nano Korea

2006, August 29 - September 1, KINTEX, Korea, pp. 1323–1326.

11. A. R. Ashrafi, Combinatorial Enumeration of Fullerenes, Proceedings of the International

Conference on Bio-Nanotechnology, November 18-21 2006, Al-Ain, 360–

362.

12. G.A. Moghani and A.R. Ashrafi, On the PI index of some nanotubes, Journal

of Physics: Conference Series, 29(2006), 159–162.

13. A.R. Ashrafi and G.R. Vakili-Nezhad, Computing the PI index of some chemical

graph related to nanostructures, Journal of Physics: Conference Series, 29(2006),

181–184.

14. G.R. Vakili-Nezhad and A.R. Ashrafi, Applications of a Mathematical Problem

to the symmetry of fullerene C60, Journal of Physics: Conference Series, 29(2006),

14–17.

15. A. R. Ashrafi and S. Yousefi, Distance Matrix and Wiener Index of Polyhex

Nanotubes, AIP Conf. Proc. 929(2007), 12–16.

16. H. Yousefi-Azari, B. Manoochehrian and A. R. Ashrafi, Computing PI Polynomials

of some Nanostructures, AIP Conf. Proc. 929(2007), 28-31.

17. M. Faghani and A. R. Ashrafi, Wiener and PI indices of fullerenes, Proc. Int.

Conf. Nanomeeting 2007: Physics, Chemistry and Applications of Nanostructures,

World Scientific, 2007.

 

Persian Papers:

1. History of Mathematics, (Algebra), Daneshmand Magazine, Daneshmand 1375.

2. The problem of intervals in the subgroup lattice of a finite group, Golchin-e-Riazi,

No. 3,4, 1996, 33-40.

3. Counting centralizers of finite groups, Farhang va Andishe-ye Riazi, No. 25,

(2001), 1-10.

4. With R. Soleimani, On the number of Maximal Theta Pairs of a Finite Group,

J. Sci. Univ. Tehran, 28(2), 1381, 251-257.

5. With R. Soleimani, On Finite Groups with a Given Number of Theta Pairs, To

appear in Amir Kabir.

6. With M. A. Salahshour, On n−decomposable finite groups, to appear in J. Sci.

Univ. Tehran, 2004.

 

Professional Lectures:

1. The problem of intervals in the subgroup lattice L(G), 25th Annual of Iranian

Mathetics Conference (AIMC), Sharif University of Technology, (1994), Tehran,

Iran.

2. The character table of the certain group, Proceedings of 26th AIMC, Shahid

Bahonar University, (1995), 37–41.

3. The problem of intervals in the subgroup lattice of a finite group, 27th Annual of

Iranian Mathematics Conference (AIMC), Shiraz University, (1996), Shiraz, Iran.

4. On the Cohn’s conjecture, Proceedings of the 8th Algebra Seminar of the Iranian

Math. Soc., 17-18 December 1996, University of Tehran, Iran, 1–7.

5. A note on the number of minimal subgroups in a finite group, Proceedings of

28th AIMC, Tabriz University, (1997), 51–54.

6. (Invited Speaker)The subgroup lattice problem, Proceedings of the 9th National

Algebra Seminar, 18-19 November 1997, Mazandaran University & Sharif University

of Technology, Babolsar, Iran.

7. On n-centralizer groups, 11th National Algebra Seminar,(1998), Kordestan, Iran.

8. Distinct centralizers of some finite groups, Maltcev Seminar, Russia, 1998.

9. Counting the centralizers of some finite groups, Annual of Iranian Mathematics

Conference (AIMC), Ardebil University, (1999).

10. On some Hyperlattices, 13th National Algebra Seminar, Shahid Beheshti University

(2000), Tehran, Iran.

11. Rotary closed subgroups of a finite groups, 31th Annual of Iranian Mathematics

Conference (AIMC), Tehran University (2000), Tehran, Iran.

12. (p, q, r)−Generations of the Conway group Co1, for odd p  5, 31th Annual of

Iranian Mathematics Conference (AIMC), Tehran University (2000), Tehran, Iran.

13. nX-Complementary generation of the sporadic group ON, Groups 2001 Oxford,

Oxford University, UK.

14. Subgroups which are a union of a given number of conjugacy classes, Groups

2001 Oxford, Oxford University, UK.

15. (p,q,r)-generations and nX-complementary generations of some sporadic groups,

AAA63 Workshop of General Algebra, Kaiserslautern University (2000), Germany.

16. Calculation of Character Tables, Workshop on GAP, 14th National Algebra

Seminar, Alzahra University, Tehran, July 15–17, 2002.

17. On finite groups with exactly n element centralizers, n  7, Seventh International

Colloquium on Numerical Analysis and Computer Science with Applications,

13

Plovdiv, Bulgaria, August 12–17, 2002.

18. On X-decomposable finite groups, Mathematics in Armenia, Advances and

Perspectives, Tsahkadzor, Armenia, September 30 - October 7, 2003.

19. (Invited Speaker) Applications of Computer Algebra System GAP for Solving

some Problems in Computational Chemistry, One Day Conference In Algebra,

Istanbul Bilgi University Mathematics Seminar, May 17, 2004.

20. On the n−Centralizer Finite Groups, n  7, Antalya Algebra Days VI, Antalya,

May 19-23, 2004.

21. Classification of Finite Groups by the Number of Conjugacy Classes of Normal

Subgroups, Second International Conference on Mathematical Sciences, December

12-14 2004, United Arab Emirates University, UAE.

22. (Invited Speaker) Character Theorey of Finite Groups and its Applications in

Computational Sciences, 36th Annual of Iranian Mathematics Conference (AIMC)

23. Classification of Finite Groups by the Number of Conjugacy Classes of Normal

Subgroups, Primer Congreso Conjunto de Matematicas RSME-SCM-SEIO-SEMA

MAT.ES 2005, University of Valencia, 2005.

24. Classification of finite groups by the number of element Gentralizers, GROUPSST

ANDREWS 2005, University of St Andrews, 2005.

25. Computing the PI Index of some Chemical Graphs Related to Nanostructures,

The Third Conference of the Asian Consortium for Computational Materials Science,

ACCMS-3, Institute of Physics, Chinese Academy of Science, 2005.

26. On Symmetry and Cycle Indices of Fullerenes, Computers in Scientific Discovery

III, University of Ghent, Belgium, February 6-9, 2006.

27. Computing the Wiener and Szeged Index of some Nanotori, MATH / CHEM /

COMP 2006, Dubrovnik, June 19-24, 2006.

28. PI index of some nanotubes and nanotori, Nano Korea 2006, KINTEX, Ilsan,

30 Aug - 1 Sep, 2006.

29. Combinatorial Enumeration of Fullerenes, International Conference on Bio-

Nanotechnology, November 18-21 2006, Al-Ain, UAE.

30. Computing Markaracter Table and USCI Table of Finite Groups, MATH /

CHEM / COMP 2007, Dubrovnik, June 11-16, 2007.

31. Computing PI Index of the Molecular Graphs of Nanostructures, CHEMMOD

2007, Cluj-Napoca, October 23 26, 2007.