All Stories

  1. Ordering chemical unicyclic graphs by Wiener polarity index

    Article • International Journal of Quantum Chemistry, May 2019, Wiley

    Prof. Ali Reza Ashrafi

  2. Symmetry − Based Invariants of Nanostructures and Their Effect on Edge States of Carbon Nanotubes

    Article • Fullerenes Nanotubes and Carbon Nanostructures, December 2018, Taylor & Francis

    Prof. Ali Reza Ashrafi, Fatemeh Koorepazan-Moftakhar

  3. Coloring of fullerenes

    Article • Fullerenes Nanotubes and Carbon Nanostructures, October 2018, Taylor & Francis

    Prof. Ali Reza Ashrafi

  4. Spectral properties of the commuting graphs of certain groups

    Article • AKCE International Journal of Graphs and Combinatorics, October 2018, Elsevier

    Prof. Ali Reza Ashrafi

  5. The order supergraph of the power graph of a finite group

    Article • TURKISH JOURNAL OF MATHEMATICS, July 2018, The Scientific and Technological Research Council of Turkey

    Prof. Ali Reza Ashrafi

  6. On n-Cyclic Groups

    Article • Bulletin of the Malaysian Mathematical Sciences Society, July 2018, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  7. Laplacian coefficients and Zagreb indices of trees

    Article • Linear and Multilinear Algebra, May 2018, Taylor & Francis

    Prof. Ali Reza Ashrafi

  8. First degree-based entropy of graphs

    Article • Journal of Applied Mathematics and Computing, February 2018, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  9. On a Special Quotient of the Generating Graph of a Finite Group

    Article • Bulletin of the Malaysian Mathematical Sciences Society, November 2017, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  10. Ordering chemical trees by Wiener polarity index

    Article • Applied Mathematics and Computation, November 2017, Elsevier

    Prof. Ali Reza Ashrafi

  11. Extremal graphs with respect to variable sum exdeg index via majorization

    Article • Applied Mathematics and Computation, June 2017, Elsevier

    Prof. Ali Reza Ashrafi

  12. The Existence of Minimal Logarithmic Signatures for Some Finite Simple Groups

    Article • Experimental Mathematics, October 2016, Taylor & Francis

    Prof. Ali Reza Ashrafi

  13. The Spectra of power graphs of certain finite groups

    Article • Linear and Multilinear Algebra, August 2016, Taylor & Francis

    Prof. Ali Reza Ashrafi

  14. Combination of distance and symmetry in some molecular graphs

    Article • Applied Mathematics and Computation, April 2016, Elsevier

    Prof. Ali Reza Ashrafi

  15. Tetracyclic graphs with extremal values of Randić index

    Article • Bollettino dell Unione Matematica Italiana, April 2015, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  16. A fast algorithm for computing bipartite edge frustration number of (3,6)-fullerenes

    Article • Journal of Theoretical and Computational Chemistry, March 2014, World Scientific Pub Co Pte Lt

    Prof. Ali Reza Ashrafi

  17. Maximum values of atom–bond connectivity index in the class of tetracyclic graphs

    Article • Journal of Applied Mathematics and Computing, January 2014, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  18. The bipartite edge frustration of hierarchical product of graphs

    Article • Electronic Notes in Discrete Mathematics, January 2014, Elsevier

    Prof. Ali Reza Ashrafi

  19. Remarks On Commuting Graph of a Finite Group

    Article • Electronic Notes in Discrete Mathematics, January 2014, Elsevier

    Prof. Ali Reza Ashrafi

  20. Preface

    Article • Electronic Notes in Discrete Mathematics, January 2014, Elsevier

    Prof. Ali Reza Ashrafi

  21. Automorphism Group and Fixing Number of (3,6)– and (4, 6)–Fullerene Graphs

    Article • Electronic Notes in Discrete Mathematics, January 2014, Elsevier

    Prof. Ali Reza Ashrafi

  22. Eccentric Sequences of Two Infinite Classes of Fullerenes

    Article • Journal of Computational and Theoretical Nanoscience, November 2013, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  23. Symmetry and PI Index of C60+12n Fullerenes

    Article • Journal of Computational and Theoretical Nanoscience, October 2013, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  24. Extremal values of augmented eccentric connectivity index of V-phenylenic nanotorus

    Article • Journal of Applied Mathematics and Computing, September 2013, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  25. Distribution of some graph invariants over hierarchical product of graphs

    Article • Applied Mathematics and Computation, September 2013, Elsevier

    Prof. Ali Reza Ashrafi

  26. Applications of the generalized hierarchical product of graphs in computing the vertex and edge PI indices of chemical graphs

    Article • Ricerche di Matematica, July 2013, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  27. Topological edge properties of C 60+12 n fullerenes

    Article • Beilstein Journal of Nanotechnology, June 2013, Beilstein Institut

    Prof. Ali Reza Ashrafi

  28. Further results on hierarchical product of graphs

    Article • Discrete Applied Mathematics, May 2013, Elsevier

    Prof. Ali Reza Ashrafi

  29. The Topological Study of an Infinite Family of Fullerenes with 10n Carbon Atoms

    Article • Fullerenes Nanotubes and Carbon Nanostructures, January 2013, Taylor & Francis

    Prof. Ali Reza Ashrafi

  30. The Bipartite Vertex Frustration of Some Infinite Families of Fullerenes

    Article • Fullerenes Nanotubes and Carbon Nanostructures, January 2013, Taylor & Francis

    Prof. Ali Reza Ashrafi

  31. Sadhana Index in Nanotechnology

    Article • Journal of Computational and Theoretical Nanoscience, January 2013, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  32. The energies of (3,6) -fullerenes and nanotori

    Article • Applied Mathematics Letters, December 2012, Elsevier

    Prof. Ali Reza Ashrafi

  33. The Wiener Index of One-Pentagonal Carbon Nanocone

    Article • Fullerenes Nanotubes and Carbon Nanostructures, November 2012, Taylor & Francis

    Prof. Ali Reza Ashrafi

  34. Closed formulas for the number of small paths, independent sets and matchings in fullerenes

    Article • Applied Mathematics Letters, November 2012, Elsevier

    Prof. Ali Reza Ashrafi

  35. Wiener polarity index of fullerenes and hexagonal systems

    Article • Applied Mathematics Letters, October 2012, Elsevier

    Prof. Ali Reza Ashrafi

  36. The Topological Study of an Infinite Family of Fullerenes with 12n Carbon Atoms

    Article • Journal of Computational and Theoretical Nanoscience, October 2012, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  37. Remarks on the Wiener index of unicyclic graphs

    Article • Journal of Applied Mathematics and Computing, July 2012, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  38. Relationship between edge Szeged and edge Wiener indices of graphs

    Article • Glasnik Matematicki, June 2012, University of Zagreb, Department of Mathematics

    Prof. Ali Reza Ashrafi, Dr Mohammad Javad Nadjafi-Arani

  39. THE TOPOLOGICAL STUDY OF IPR FULLERENES BY SZEGED AND REVISED SZEGED INDICES

    Article • Journal of Theoretical and Computational Chemistry, June 2012, World Scientific Pub Co Pte Lt

    Prof. Ali Reza Ashrafi

  40. Topological Study of a Class of IPR Fullerenes

    Article • Journal of Computational and Theoretical Nanoscience, May 2012, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  41. Spectral Properties of Fullerenes

    Article • Journal of Computational and Theoretical Nanoscience, March 2012, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  42. On Wiener Index of One-Heptagonal Nanocone

    Article • Current Nanoscience, February 2012, Bentham Science Publishers

    Prof. Ali Reza Ashrafi

  43. Graphs whose Szeged and Wiener numbers differ by 4 and 5

    Article • Mathematical and Computer Modelling, February 2012, Elsevier

    Prof. Ali Reza Ashrafi, Dr Mohammad Javad Nadjafi-Arani

  44. Extremal polyomino chains with respect to Zagreb indices

    Article • Applied Mathematics Letters, February 2012, Elsevier

    Prof. Ali Reza Ashrafi

  45. The Szeged, vertex PI, first and second Zagreb indices of corona product of graphs

    Article • Filomat, January 2012, National Library of Serbia

    Prof. Ali Reza Ashrafi

  46. On the power graph of a finite group

    Article • Filomat, January 2012, National Library of Serbia

    Prof. Ali Reza Ashrafi, Dr Mohammad Javad Nadjafi-Arani

  47. More on Zagreb coindices of graphs

    Article • Filomat, January 2012, National Library of Serbia

    Prof. Ali Reza Ashrafi

  48. New upper bounds for Estrada index of bipartite graphs

    Article • Linear Algebra and its Applications, November 2011, Elsevier

    Prof. Ali Reza Ashrafi

  49. First and second extremal bipartite graphs with respect to PI index

    Article • Mathematical and Computer Modelling, November 2011, Elsevier

    Prof. Ali Reza Ashrafi

  50. Extremal properties of the bipartite vertex frustration of graphs

    Article • Applied Mathematics Letters, November 2011, Elsevier

    Prof. Ali Reza Ashrafi

  51. On the differences between Szeged and Wiener indices of graphs

    Article • Discrete Mathematics, October 2011, Elsevier

    Prof. Ali Reza Ashrafi, Dr Mohammad Javad Nadjafi-Arani

  52. Some inequalities for the atom-bond connectivity index of graph operations

    Article • Discrete Applied Mathematics, August 2011, Elsevier

    Prof. Ali Reza Ashrafi

  53. Article • Applied Mathematics Letters, July 2011, Elsevier

    Prof. Ali Reza Ashrafi

  54. The bipartite edge frustration of graphs under subdivided edges and their related sums

    Article • Computers & Mathematics with Applications, July 2011, Elsevier

    Prof. Ali Reza Ashrafi

  55. Study of IPR Fullerenes by PI Index

    Article • Journal of Computational and Theoretical Nanoscience, July 2011, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  56. The eccentric connectivity index of nanotubes and nanotori

    Article • Journal of Computational and Applied Mathematics, June 2011, Elsevier

    Prof. Ali Reza Ashrafi

  57. Calculating the edge Wiener and edge Szeged indices of graphs

    Article • Journal of Computational and Applied Mathematics, June 2011, Elsevier

    Prof. Ali Reza Ashrafi

  58. Topological Study of HC5C7[4p,8] Carbon Nanotubes

    Article • Journal of Computational and Theoretical Nanoscience, April 2011, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  59. Bounds on the Estrada index of ISR

    Article • Applied Mathematics Letters, March 2011, Elsevier

    Prof. Ali Reza Ashrafi

  60. The Eccentric Connectivity Index of Zig-Zag Polyhex Nanotubes and Nanotori

    Article • Journal of Computational and Theoretical Nanoscience, October 2010, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  61. Another aspect of graph invariants depending on the path metric and an application in nanoscience

    Article • Computers & Mathematics with Applications, October 2010, Elsevier

    Prof. Ali Reza Ashrafi

  62. An Exact Expression for the Padmakar-Ivan Polynomial of Some Nanostructures

    Article • Journal of Computational and Theoretical Nanoscience, October 2010, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  63. On the Szeged and the Laplacian Szeged spectrum of a graph

    Article • Linear Algebra and its Applications, September 2010, Elsevier

    Prof. Ali Reza Ashrafi

  64. The Zagreb coindices of graph operations

    Article • Discrete Applied Mathematics, August 2010, Elsevier

    Prof. Ali Reza Ashrafi

  65. The bipartite edge frustration of composite graphs

    Article • Discrete Applied Mathematics, July 2010, Elsevier

    Prof. Ali Reza Ashrafi

  66. Applications of the Matrix Package MATLAB in Computing the Wiener Polynomial of Armchair Polyhex Nanotubes and Nanotori

    Article • Journal of Computational and Theoretical Nanoscience, June 2010, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  67. A Study of fullerenes by MEC polynomials

    Article • Electronic Materials Letters, June 2010, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  68. PI and Omega Polynomials of IPR Fullerenes

    Article • Fullerenes Nanotubes and Carbon Nanostructures, May 2010, Taylor & Francis

    Prof. Ali Reza Ashrafi

  69. The PI and Edge Szeged Polynomials of an Infinite Family of Fullerenes

    Article • Fullerenes Nanotubes and Carbon Nanostructures, March 2010, Taylor & Francis

    Prof. Ali Reza Ashrafi

  70. Extremal graphs with respect to the vertex PI index

    Article • Applied Mathematics Letters, December 2009, Elsevier

    Prof. Ali Reza Ashrafi, Dr Mohammad Javad Nadjafi-Arani

  71. On the Symmetry of a Zig-Zag and an Armchair Polyhex Carbon Nanotorus

    Article • Symmetry, October 2009, MDPI AG

    Prof. Ali Reza Ashrafi

  72. Some new results on distance-based graph invariants

    Article • European Journal of Combinatorics, July 2009, Elsevier

    Prof. Ali Reza Ashrafi

  73. A Numerical Method for Computing PI Index of Fullerene Molecules Containing Carbon Atoms

    Article • Journal of Computational and Theoretical Nanoscience, July 2009, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  74. STUDY OF IPR FULLERENES BY COUNTING POLYNOMIALS

    Article • Journal of Theoretical and Computational Chemistry, June 2009, World Scientific Pub Co Pte Lt

    Prof. Ali Reza Ashrafi

  75. A Numerical Method for Computing the Wiener Index of One-Heptagonal Carbon Nanocone

    Article • Journal of Computational and Theoretical Nanoscience, May 2009, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  76. The PI and Edge Szeged Indices of One-Heptagonal Carbon Nanocones

    Article • Current Nanoscience, February 2009, Bentham Science Publishers

    Prof. Ali Reza Ashrafi

  77. The first and second Zagreb indices of some graph operations

    Article • Discrete Applied Mathematics, February 2009, Elsevier

    Prof. Ali Reza Ashrafi

  78. A matrix method for computing Szeged and vertex PI indices of join and composition of graphs

    Article • Linear Algebra and its Applications, December 2008, Elsevier

    Prof. Ali Reza Ashrafi

  79. The study of an infinite class of dendrimer nanostars by topological index approaches

    Article • Journal of Applied Mathematics and Computing, November 2008, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  80. Padmakar-Ivan Index of q-Multi-Walled Carbon Nanotubesand Nanotori

    Article • Journal of Computational and Theoretical Nanoscience, November 2008, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  81. Szeged index of some nanotubes

    Article • Current Applied Physics, October 2008, Elsevier

    Prof. Ali Reza Ashrafi

  82. The hyper-Wiener index of graph operations

    Article • Computers & Mathematics with Applications, September 2008, Elsevier

    Prof. Ali Reza Ashrafi

  83. Length Dependent Material Properties of Carbon Nanotubes

    Article • Journal of Computational and Theoretical Nanoscience, July 2008, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  84. Computing Padmakar-Ivan Index of a TC4C8(R) Nanotorus

    Article • Journal of Computational and Theoretical Nanoscience, July 2008, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  85. Concentrically Carbon Nanotubes Molecular Motor Under Temperature Effect

    Article • Journal of Computational and Theoretical Nanoscience, July 2008, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  86. The PI index of product graphs

    Article • Applied Mathematics Letters, June 2008, Elsevier

    Prof. Ali Reza Ashrafi

  87. An Algorithm for Constructing Wiener Matrix of TUC4C8(R) Nanotubes

    Article • Current Nanoscience, May 2008, Bentham Science Publishers

    Prof. Ali Reza Ashrafi

  88. Vertex and edge PI indices of Cartesian product graphs

    Article • Discrete Applied Mathematics, May 2008, Elsevier

    Prof. Ali Reza Ashrafi

  89. THE VERTEX PI AND SZEGED INDICES OF AN INFINITE FAMILY OF FULLERENES

    Article • Journal of Theoretical and Computational Chemistry, April 2008, World Scientific Pub Co Pte Lt

    Prof. Ali Reza Ashrafi

  90. On 9- and 10-decomposable finite groups

    Article • Journal of Applied Mathematics and Computing, January 2008, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  91. Erratum: The symmetry group of nonrigid tetramethylsilane

    Article • International Journal of Quantum Chemistry, January 2008, Wiley

    Prof. Ali Reza Ashrafi

  92. Predicting Protein Function Based on the Topological Structure of Protein Interaction Networks

    Article • Journal of Computational and Theoretical Nanoscience, November 2007, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  93. An Ant Colony Algorithm with Global Adaptive Optimization

    Article • Journal of Computational and Theoretical Nanoscience, November 2007, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  94. A new algorithm for computing distance matrix and Wiener index of zig-zag polyhex nanotubes

    Article • Nanoscale Research Letters, April 2007, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  95. PI AND SZEGED INDICES OF AVC5C7[4p, 8] NANOTUBE

    Article • International Journal of Nanoscience, February 2007, World Scientific Pub Co Pte Lt

    Prof. Ali Reza Ashrafi

  96. The symmetry group of nonrigid tetramethylsilane

    Article • International Journal of Quantum Chemistry, January 2007, Wiley

    Prof. Ali Reza Ashrafi

  97. Distance Matrix and Wiener Index of Polyhex Nanotubes

    Article • January 2007, American Institute of Physics

    Prof. Ali Reza Ashrafi

  98. Computing PI Polynomials of Some Nanostructures

    Article • January 2007, American Institute of Physics

    Prof. Ali Reza Ashrafi

  99. Computing PI and Szeged indices of multiple phenylenes and cyclic hexagonal-square chain consisting of mutually isomorphic hexagonal chains

    Article • Journal of the Serbian Chemical Society, January 2007, National Library of Serbia

    Prof. Ali Reza Ashrafi

  100. From Sliding Nucleosomes to Twirling DNA Motors

    Article • Journal of Computational and Theoretical Nanoscience, December 2006, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  101. Counting the Number of Hetero Fullerenes

    Article • Journal of Computational and Theoretical Nanoscience, October 2006, American Scientific Publishers

    Prof. Ali Reza Ashrafi

  102. Computing Orbits of the Automorphism Group of the Subsequence Poset B m,n

    Article • Order, September 2006, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  103. An exact expression for the wiener index of a TUC4C8(R) nanotorus

    Article • Journal of Mathematical Chemistry, July 2006, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  104. The full non-rigid group of hexamethylbenzene using wreath product

    Article • Chemical Physics Letters, April 2006, Elsevier

    Prof. Ali Reza Ashrafi

  105. Full Non-rigid Group of Sponge and Pina

    Article • Journal of Mathematical Chemistry, March 2006, Springer Science + Business Media

    Prof. Ali Reza Ashrafi

  106. Symmetry of tetrahydroxycalix[4]arenes

    Article • Journal of the Serbian Chemical Society, January 2006, National Library of Serbia

    Professor Javad Safaei-Ghomi, Prof. Ali Reza Ashrafi

  107. Nonrigid group theory for 1,3,5-trimethylbenzene

    Article • International Journal of Quantum Chemistry, January 2006, Wiley

    Prof. Ali Reza Ashrafi

  108. On the PI index of some nanotubes

    Article • Journal of Physics Conference Series, January 2006, Institute of Physics Publishing

    Prof. Ali Reza Ashrafi

  109. On a New Algorithm for Computing Symmetry of Big Fullerenes

    Article • Collection of Czechoslovak Chemical Communications, January 2006, Institute of Organic Chemistry & Biochemistry

    Prof. Ali Reza Ashrafi

  110. Computing the PI index of some chemical graphs related to nanostructures

    Article • Journal of Physics Conference Series, January 2006, Institute of Physics Publishing

    Prof. Ali Reza Ashrafi

  111. Application of a mathematical problem to the symmetry of fullerene C 60

    Article • Journal of Physics Conference Series, January 2006, Institute of Physics Publishing

    Prof. Ali Reza Ashrafi

  112. Full Non-Rigid Group and Symmetry of Dimethyltrichloro-phosphorus

    Article • Chinese Journal of Chemistry, July 2005, Wiley

    Prof. Ali Reza Ashrafi

  113. On symmetry properties of molecules

    Article • Chemical Physics Letters, April 2005, Elsevier

    Prof. Ali Reza Ashrafi

  114. Symmetry properties of tetraammine platinum(II) with C 2v and C 4v point groups

    Article • Journal of Zhejiang University SCIENCE A, March 2005, Journal of Zhejiang University SCIENCE

    Prof. Ali Reza Ashrafi

  115. The Non-Rigid Group of Tetraamine Platinum(II) as a Wreath Product

    Article • Bulletin of the Chemical Society of Japan, January 2005, The Chemical Society of Japan

    Prof. Ali Reza Ashrafi

  116. New computer program to calculate the symmetry of molecules

    Article • Open Chemistry, January 2005, De Gruyter

    Prof. Ali Reza Ashrafi

  117. Computing the full nonrigid group of tetra-tert-butyltetrahedrane using wreath product

    Article • International Journal of Quantum Chemistry, January 2005, Wiley

    Prof. Ali Reza Ashrafi

  118. The full nonrigid group theory for trimethylamine

    Article • International Journal of Mathematics and Mathematical Sciences, January 2003, Hindawi Publishing Corporation

    Prof. Ali Reza Ashrafi