MODJTABA GHORBANI

Associate Professor

  • Email: mghorbani @ su.ac.ir
  • Telephone: +982122970060-2669,2356
  • Fax: +982122970005
  • Department of Mathematics Faculty of ScienceShahid Rajaee Teacher Training University,Tehran, 16785-136, Iran.

Research Interests:

Caption
Algebraic Graph Theory
Group Theory
Character Theory

Educational Background

Section university CatchDate
Ph.D. In Test University of Kashan 2008
M.Sc. In Test University of Kashan 2004

Professional Background

Caption Place Date
Shahid Rajaee SRTTU 2008-Now
Faculty member SRTTU 2008-Now

 Referee for Journals

Caption place Date
Discrete Appl. MAth. Elsevier (2014-Now)
Appl. Math. Comput. Elsevier (2014-Now)
J. Appl Math. Comput. Springer (2014-Now)

Awards:

Caption
The winner of the Grade A of the Shahid Rajaee Teacher Training University, from 2012-Now
Superior Master of the Shahid Rajaee Teacher Training University(Tribute Week Teacher, 2012)
Top Researcher of ISI, 2011

JOURNAL PAPERS:

2006

  1. A. Gholami, A.R. Ashrafi and M. Ghorbani, Symmetry of Benzenoid Chains, Bull. Chem. Technol. Macedonia, 25(1)(2006), 23-27.
  2. M. Ghorbani and A.R. Ashrafi, Counting the Number of Hetero Fullerenes, J. Comput. Theor. Nanosci., 3(5)(2006), 803-810.
  3. A. Gholami, J. Safaei, A.R. Ashrafi and M. Ghorbani, Symmetry of TetrahydroxyCalix[4]arenes, J. Serb. Chem. Soc.,71(10)(2006), 1025-1029.
  4. 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.
  5. Mojtaba Ghorbani and Ahmad Gholami, Symmetry of Pyrene and Triphenylmethane Molecules, MATCH Commun Math Comput Chem., 55,11, 65-72

2007

  1. M. Ghorbani, M. Jalal-Abadi A Simple Algorithm for Computing Topological Indices of Dendrimers, Iranian Journal of Mathematical Sciences and Informatics, 2(2) (2007), 61-67
  2. 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.

2008

  1. A. R. Ashrafi and M. Ghorbani, A Note on Markaracter Tables of Finite Groups, MATCH Commun Math Comput Chem., 59(3)(2008), 595-603.
  2. A. R. Ashrafi, M. Ghorbani and M. Jalali, Computing Sadhana polynomial of V-phenylenic nanotubes and nanotori, Indian J. Chem., 47A(4)(2008), 538-541.
  3. A. R. Ashrafi, M. Ghorbani and M. Jalali, The Vertex PI and Szeged Indices of an Infinite Family of Fullerenes, J. Theor. Comput. Chem., 7(2)(2008), 221-231.
  4. A. R. Ashrafi and M. Ghorbani, Computer Application of GAP to the Evaluation of Numbers of Permutational Isomers of Hetero Fullerenes, MATCH Commun. Math. Comput. Chem., 60(2)(2008), 359-367.
  5. A. R. Ashrafi, M. Jalali, M. Ghorbani and M. V. Diudea, Computing PI and Omega Polynomials of an Infinite Family of Fullerenes, MATCH Commun. Math. Comput. Chem., 60(3) (2008), 905-916.
  6. Ali Reza Ashrafi, Hamid Saati and Modjtaba Ghorbani, On distance-based topological indices of HC5C7[4p,8] nanotubes, Digest Journal of Nanomaterials and Biostructures, 3(4) (2008), 227-236.
  7. Ali Reza Ashrafi, Modjtaba Ghorbani and Maryam Jalali, Detour matrix and detour index of some nanotubes, Digest Journal of Nanomaterials and Biostructures, 3(4) (2008), 245-250.
  8. Modjtaba Ghorbani and Maryam Jalali, COUNTING NUMBERS OF PERMUTATIONAL ISOMERS OF HETERO FULLERENES, Digest Journal of Nanomaterials and Biostructures, 3(4) (2008), 269-275.

2009

  1. A. R. Ashrafi and M. Ghorbani, computational study of fullerenes by GAP, Digest Journal of Nanomaterials and Biostructures, 4(2), 313 (2009).
  2. A. R. Ashrafi, M. Ghorbani and M. Jalali, Study of IPR fullerene by counting polynomials, J. Theo. Com. Chem., 8(3), 451-457 (2009)
  3. A. R. Ashrafi, M. Ghorbani, and M. Hemmasi, Eccentric connectivity polynomial of C12n+2 fullerenes, Digest Journal of Nanomaterials and Biostructures, 4(3), 483-486 (2009).
  4. A. R. Ashrafi and M. Ghorbani, A GAP program for computing the hosoya polynomial and Wiener index of nano structures, Digest Journal of Nanomaterials and Biostructures, 4(2), 389 (2009).
  5. M. Ghorbani, M. B. Ahmadi and M. Hemmasi, Computer calculation of the edge Wiener index of an infinite family of fullerenes, Digest Journal of Nanomaterials and Biostructures, 3(4), 269 (2009)
  6. M. Ghorbani, and M. Jalali, Omega and Sadhana polynomials of an infinite family of fullerenes, Digest Journal of Nanomaterials and Biostructures, 4(1), 177 (2009).
  7. M. Ghorbani, and M. Jalali, Computing omega and Sadhana polynomials of C12n+4, Digest Journal of Nanomaterials and Biostructures, 4(3), 403 (2009).
  8. M. Ghorbani and M. Jalali, The Vertex PI, Szeged and Omega Polynomials of Carbon Nanocones CNC4[n], MATCH Commun. Math. Comput. Chem., 62, 353 (2009).
  9. M. Ghorbani,M. Jalali and A. R. Ashrafi, Computing Orbits of the Automorphism Group of the Subsequence Poset Bm,n for n ≥ 2m, South. Asian Bull. Math., 33, 1-4 (2009).
  10. M. Ghorbani and M. Jalali,Counting numbers of permutational isomers of an infinite family of fullerenes, Studia universitatis babe –Bolyai, Chemia, 2, 145 (2009).
  11. M. Ghorbani, and M. Jalali, Omega and Sadhana polynomials of Some Nano Structures, Digest Journal of Nanomaterials and Biostructures, 4(2), 423-427 (2009).
  12. A. R. Ashrafi, M. Ghorbani and M. Jalali, Eccentric connectivity polynomial of an infinite family of fullerenes, Optoelectronics and Advanced Materials-Rapid Communications, 3(8), 823-826 (2009).
  13. A. R. Ashrafi and M. Ghorbani, Distance matrix and diameter of two infinite family of fullerenes, Optoelectronics and Advanced Materials-Rapid Communications, 3(6), 596 (2009).
  14. M. A. Hosseinzadeh and M. Ghorbani, GA index of nanostar dendrimers, Journal of Optoelectronics and Advanced Materials, 11(11) 2009, 1671 – 1674.
  15. M. Jalali and M. Ghorbani, On Omega Polynomial of C40n+6 Fullerenes, Studia universitatis babe –Bolyai, chemia,4 (2009) 25-32.
  16. M. Ghorbani, A. R. Ashrafi and M. Hemmasi, Eccentric connectivity polynomials of fullerenes, Optoelectronics and Advanced Materials-(RC), 3(12) 2009, 1306 – 1308.
  17. M. Ghorbani, M. Jalali Computing a new topological index of nano-structure, Digest Journal of Nanomaterials and Biostructures, 4(4), 2009, 681-685.

2010

  1. M. Ghorbani and M. Hemmasi, The vertex PI and Szeged polynomials of an infinite family of fullerenes, Journal of computational and theoretical nanoscience, 7, 2405-2410, 2010.
  2. I. Gutman, M. Ghorbani and M. A. Hosseinzadeh, The Truncated Randic Index, Kragujevac J. Sci., 32, 2010, 47-56.
  3. A. R. Ashrafi, M. Saheli and M. Ghorbani, The eccentric connectivity index of nanotubes and nanotori, Journal of Computational and Applied Mathematics, http://dx.doi.org/10.1016/j.cam.2010.03.001.
  4. M. Ghorbani, M. A. HOSSEINZADEH, A note of Zagreb indices of nanostar dendrimers, Optoelectronics and Advanced Materials-(RC), 4(11), 2010, 1877 – 1880.
  5. M. Ghorbani, M. JADDI, Computing counting polynomials of leapfrog fullerenes, Optoelectronics and Advanced Materials-(RC), 4(4), 2010, 540 – 543.
  6. A. R. Ashrafi, M. Ghorbani and M. Jalali, The PI and Edge Szeged Polynomials of an Infinite Family of Fullerenes, Fullerenes, Nanotubes and Carbon Nanostructures, 18(3) 107 –116 (2010).
  7. A. R. Ashrafi and M. Ghorbani, PI and Omega Polynomials of IPR Fullerenes, Fullerenes, Nanotubes and Carbon Nanostructures, 18(3) 198 – 206 (2010).
  8. A. R. Ashrafi and M. Ghorbani, Enumeration of a class of IPR hetero-fullerenes, J. Serb. Chem. Soc. 75 (3), (2010) 361–368.
  9. M. Ghorbani, GA index of TUC4C8(R) nanotube, Optoelectronics and Advanced Materials-(RC), 4(2) 2010, 261 – 263.
  10. M. A. Hosseinzadeh and M. Ghorbani, On the Zagreb indices of nanostar dendrimers, Optoelectronics and Advanced Materials-(RC), 4(3) 2010, 378 – 380.
  11. H. Maktabi, J. Davoudi, M. Ghorbani, Computing symmetry group of fullerene C80, Optoelectronics and Advanced Materials-(RC), 4(4), 2010, 550 – 552.
  12. M. Ghorbani and H. Hosseinzadeh, On Wiener index of special case of link of fullerenes, Optoelectronics and Advanced Materials-(RC), 4(4), 2010, 538 – 539.
  13. M. Ghorbani, M. Ghazi and S. Shakeraneh, Computing omega and Sadhana polynomials of an infinite class of fullerenes , Optoelectronics and Advanced Materials-(RC), 4(6), 2010, 893 – 895.
  14. A. Graovac and M. Ghorbani, A new version of atom-bond connectivity index, Acta Chim. Slov., 57(3), 559–564, 2010.
  15. A. Azad and M. Ghorbani, Non – commuting graphs of group automorphism of an infinite family of fullerenes, Optoelectronics and Advanced Materials-(RC), 4(8), 2010, 1261 – 1263.
  16. H. Mesgarani and M. Ghorbani, The enumeration of an infinite class of nanohorns, Optoelectronics and Advanced Materials-(RC), 4(8), 2010,1264 – 1267.
  17. M. Ghorbani, A. Azad and M. Ghasemi, Eccentric connectivity polynomial of triangular benzenoid, Optoelectronics and Advanced Materials-(RC), 4(8), 2010, 1268 – 1269.
  18. A. Zaeembashi and and M. Ghorbani, Computation of two classes of GA index of some nanostructures, Optoelectronics and Advanced Materials-(RC), 4(9), 2010,1415 – 1418.
  19. M. Ghorbani and M. A. Hosseinzadeh, Computing ABC4 index of nanostar dendrimers, Optoelectronics and Advanced Materials-(RC), 4(9), 2010,1419 – 1422.
  20. D. Salmani, A. Taatian, M. Faghani and M. Ghorbani, Computing symmetry of fullerene molecule C84, Optoelectronics and Advanced Materials-(RC), 4(9), 1423 – 1426.
  21. M. Ghorbani, The new Zagreb indices of a class of dendrimers, Optoelectronics and Advanced Materials-(RC), 4(9), 2010, 1427 – 1428.
  22. M. Ghorbani, M. Ghazi and S. Shakeraneh, The enumeration of IPR hetero-fullerenes C 34×3n constructed by Leapfrog principle, Optoelectronics and Advanced Materials-(RC), 4(7), 2010, 1033-1036.
  23. Ashrafi A. R, Ghorbani M, A Study of Fullerene by MEC Polynomials, Electronic Materials Letters 2010;6:87 – 90.
  24. M. Ghorbani and M. Ghazi, COMPUTING OMEGA AND PI POLYNOMIALS OF GRAPHS, Digest Journal of Nanomaterials and Biostructures,5(4), 2010, 843-849.
  25. M. Ghorbani and M. Ghazi, COMPUTING GEOMETRIC ARITHMETIC INDEX OF SOME GRAPHS, Digest Journal of Nanomaterials and Biostructures,5(4), 2010, 837-841.
  26. A. Khaksar, M. Ghorbani, H. R. Maimani, On atom bond connectivity and GA indices of nanocones, Optoelectronics and Advanced Materials-(RC), 4(11) 2010, 1868 – 1870.
  27. M. Ghorbani, Computing Vertex PI, Omega and Sadhana Polynomials of F12(2n+1) Fullerenes, Iranian Journal of Mathematical Chemistry, 1(1), 2010, 105 − 110.
  28. Mircea V. Diudea, Aleksandar Ilić, Modjtaba Ghorbani and Ali R. Ashrafi, Cluj CJ and PIv Polynomials, Croat. Chem. Acta 83 (3) (2010) 283–289.
  29. M. Ghorbani, A. Khaki, A note on the fourth version of geometric-arithmetic index, Optoelectronics and Advanced Materials-(RC), 4(12) 2010, 2212 – 2215.
  30. H. Mesgarani, M. Ghorbani, On Omega and Sadhana polynomial of a class of nanohorns, Optoelectronics and Advanced Materials-(RC), 4(11) 2010, 1863 – 1865.
  31. M. GHORBANI, A. MOHAMMADI, F. MADADI, Some topological indices of nanostar dendrimers, Optoelectronics and Advanced Materials-(RC), 4(11), 2010, 1871 – 1873.
  32. M. Ghorbani, A. Mohammadi, F. Madadi and M. Saheli, Iranian Journal of Mathematical Chemistry, 1(2), in press.
  33. M. Ghorbani and M. Ghazi, COMPUTING SOME TOPOLOGICAL INDICES OF TRIANGULAR BENZENOID, Digest Journal of Nanomaterials and Biostructures,5(4), 2010, 1107-1111.
  34. M. Ghazi, M. Ghorbani, K. Nagy, M. V. Diudea, ON OMEGA POLYNOMIAL OF ((4,7)3) NETWORK, Studia universitatis babe –Bolyai, chemia, 4, 197-200 (2010).
  35. M. Ghorbani, M.A. Hosseinzadeh, M.V. Diudea, OMEGA POLYNOMIAL IN TITANIUM OXIDE NANOTUBES, Studia universitatis babe –Bolyai, chemia, 4, 201-210 (2010).
  36. M. Saheli, M. Ghorbani, M. L. Pop, M. V. Diudea, OMEGA POLYNOMIAL IN CRYSTAL-LIKE NETWORKS, Studia universitatis babe –Bolyai, chemia, 4, 241-246 (2010).
  37. Mircea V. Diudea, Aleksandar Ilić, Modjtaba Ghorbani and Ali R. Ashrafi, Cluj CJ and PIv Polynomials, Croat. Chem. Acta 83 (3) (2010) 283–289.
  38. M. Ghorbani, COUNTING POLYNOMIALS OF A NEW INFINITE CLASS OF FULLERENES, Studia universitatis babe –Bolyai, chemia, 4, 101-106 (2010).
  39. M. Ghorbani, A NOTE ON IPR FULLERENES, Digest Journal of Nanomaterials and Biostructures,6(2), 2010, 445-448.
  40. M. Ghorbani and M. Songhori, Some Topological Indices of Nanostar Dendrimers, Iranian J. Math. Chem., 1(2), 2010, 57-65.

2011

  1. T. Doslic, M. Ghorbani and M. A. Hosseinzadeh, Eccentric connectivity polynomial of some graph operations, Utilitasmathematica, 84, 297 (2011).
  2. M. Faghani, M. Ghorbani, The Number of Permutational Isomers of CL20 Molecule, MATCH Commun. Math. Comput. Chem., 65, 2011, 21-26
  3. M. Ghorbani and M. Jaddi, On Omega and Sadhana Polynomials of Leapfrog Fullerenes, Romanian j. Phys., 56, 5, (2011).
  4. A. Khaksar, M. Ghorbani, H. R. Maimani, A note on geometric – arithmetic index of fullerene, Optoelectronics and Advanced Materials-(RC), 5(2), 2011, 157 – 159.
  5. A. R. Ashrafi, M. Ghorbani, M. A. Hosseinzadeh, THE ECCENTRIC CONNECTIVITY POLYNOMIAL OF SOME GRAPH OPERATIONS, Serdica J. Computing, 2, 2011, 101–116.
  6. M. Ghorbani, Computing the Vertex PI and Szeged Polynomials of Fullerene Graphs C12n+4, MATCH Commun. Math. Comput. Chem., 65, 2011, 183-192
  7. M. Ghorbani, H. Mesgarani, Saba Shakeraneh, Optoelectronics and Advanced Materials-(RC), 5(3), 2011, 324 – 326.
  8. M. Ghorbani, A note on geometric – arithmetic index of fullerene, Optoelectronics and Advanced Materials-(RC), 5(2), 2011, 157 – 159.
  9. M. V. Diudea, M. Ghorbani and M. A. Hosseinzadeh, On Omega Polynomial of Cartesian Products, Utilitas mathematica, 84, 2011, 165 – 172.
  10. A. R. Ashrafi and M. Ghorbani, Topological Study of HC5C7[4p,8] Carbon Nanotubes, Journal of Computational and Theoretical Nanoscience, 8, 1–5, 2011.
  11. M. Ghorbani and Kh. Malekjani, Eccentric Connectivity Index of Some Dendrimer Graphs, Iranian J. Math. Chem., 2(2), 2011, 142 – 152.
  12. Eccentric connectivity index of toroidal fullerenes, Studia universitatis babe –Bolyai, chemia, LVI(3), 207 – 211.
  13. M. Ghorbani, F. Madadi and A. Mohammadi, A Note on Corona and Tensor Product of Graphs, Iranian J. Math. Chem., 2(2), 2011, 7 – 12.
  14. M. Ghorbani, A Survey on Zagreb Indices, Iranian J. Math. Chem., 2(2), 2011, 100 – 112.
  15. M. Ghorbani, On Omega Polynomial of Nanostructures: A Survey, Iranian J. Math. Chem., 2(1), 2011, xxx – xxx.
  16. M. Saheli and M. Ghorbani, Computing GA4 Index of Some Graph Operations, Iranian J. Math. Chem., 2(21), 2011, 82 – 91.
  17. M. Ghorbani and M. Songhori, On Counting Polynomials of Some Nanostructures, Iranian J. Math. Chem., 2(2), 2011, 92 – 99.
  18. M. Ghorbani, On Symmetry of Some Nano Structures, Iranian J. Math. Chem., 2(2), 2011, 134 – 141.
  19. A. Graovac, M. Ghorbani, M. A. Hosseinzadeh, Computing Fifth Geometric-Arithmetic Index for Nanostar Dendrimers, J. Math. Nanosci., 2011, accepted.
  20. S. Moradi, S. Baba Rahim and M. Ghorbani, Computing Two Types of Geometric-Arithmetic index of Nanotube V-phenylenic, Iranian J. Math. Chem., 2(2), 2011, 119 – 127.
  21. M. Ghorbani and M. Songhori, A note on nullity of Some Nanostructures, Studia universitatis babe –Bolyai, chemia,. LVI(2), 75 – 84.
  22. Z. Yarahmadi, A. R. Ashrafi and M. Ghorbani, The Bipartite Edge Frustration of Some Infinite Families of fullerenes, International Journal of Chemical Modeling, 3(4), xxx-xxx (2011).
  23. M. Ghorbani, Connective Eccentric Index of Fullerenes, J. Math. Nanosci., 2011, accepted.

2012

  1. M. Ghorbani, Computing Q-Conjugacy Character Table of Some Nano Structures, Iranian J. Math. Chem., 3(3), 2012, 67 – 76.
  2. M. Ghorbani and M. Mesgarani, The Enumeration of Some Nanostructures, Iranian J. Math. Chem., 1 (2012) xx – xx.
  3. M. Ghorbani and S. Heydari Rad, Studding fullerenes by their Algebraic Properties, Iranian J. Math. Chem., 3(1) (2012) 9 – 24.
  4. M. Ghorbani and A. R. Ashrafi, A Computational Method for Calculation of the USCI Table of Fullerenes, Journal of Computational and Theoretical Nanoscience, 9 (2012) 1–7.
  5. M. Ghorbani, E. Naserpour, Clar Number of Some Infinite Classes of Fullerenes, Chemistry central journal, 2011, 2(1) 53-59.
  6. I. Gutman and M. Ghorbani, Some Properties of the Narumi-Katayama Index, Appl. Math. Lett., 25 (2012) 1435–1438.
  7. M. Ghorbani, M. Songhori and I. Gutman, Kragujevac journal of Science, 34 (2012) 57–64.
  8. M. Ghorbani, M. A. Hosseinzadeh, A. R. Ashrafi and M. V. Diudea, Modified Eccentric Connectivity Polynomial of some Graph Operations, Carpath. J. Math., 28 (2012), No. 2, 247 – 256.
  9. M. Ghorbani and M. A. Hosseinzadeh, A New Version of Zagreb Indices, Filomat, 26(1), 2012, 93–100.
  10. M. Ghorbani, Enumeration of Heterofullerenes: A Survey, MATCH Commun. Math. Comput. Chem., 68(2), 2012, 381-414.
  11. M. Ghorbani, Kh. Malekjani, A NEW METHOD FOR COMPUTING THE ECCENTRIC CONNECTIVITY INDEX OF FULLERENES, Serdica J. Computing 6 (2012), 1001–1010.
  12. M. Ghorbani, M. A. Hosseinzadeh, M. V. Diudea, ON TOPOLOGICAL POLYNOMIALS OF WEIGHTED GRAPHS, STUDIA UBB CHEMIA, LVII, 4, 65-71 (2012)

2013

  1. M. Ghorbani, Remarks on Balaban index, Serdica J. Computing 7 (2013), No 1, 25–34
  2. M. Ghorbani, M. R. Ahmadi, M. Songhori, and S. Shakeraneh, A New Method for Enumerating of Fullerenes, Journal of Computational and Theoretical Nanoscience, 10, 1–5, 2013.
  3. T. Doslic, M. Ghorbani and M. A. Hosseinzadeh, The Relationships between Wiener Index, Stability Number and Clique Number of Composite Graphs Bull. Malays. Math. Sci. Soc. (2) 36(1) (2013), 165–172.
  4. M. Ghorbani and M. Songhori, The Enumeration of Hetero – Fullerenes by Polya’s Theorem, Fullerenes, Nanotubes and Carbon Nanostructures, 21: 460–471, 2013.
  5. M. Ghorbani, Remarks on overfull graphs, Applied Mathematics, 4 No. 8 (2013) 1106-1108.
  6. M. Ghorbani and M. Hemmasi, Eccentric Connectivity Polynomial of an Infinite Family of Fullerenes, Bulgarian Chemical Communications, 45(1) (2013) 5 – 8.
  7. M. Ghorbani, M. Jaddi, On Omega and Sadhana Polynomials of Leapfrog Fullerenes, Kragujevac J. Sci. 35 (2013) 61-70.
  8. M. Ghorbani and E. Naserpour, Study of Some Nanostructures by Using Their Kekulé StructuresJournal of Computational and Theoretical Nanoscience, 10 ( 2013) 2260-2263
  9. M. A. Iranmanesh and M. Ghorbani, Computing Eccentric Connectivity Polynomial of Fullerenes, Fullerenes, Nanotubes and Carbon Nanostructures, 21: 134–139, 2013.
  10. M. Ghorbani, M. A. Hosseinzadeh and M. V. Diudea, ON TOPOLOGICAL POLYNOMIALS OF WEIGHTED GRAPHS, Studia universitatis babe –Bolyai, chemia, LVIII, 1,( 2013), 43-50.
  11. KH. FATHALIKHANI, F. KOOREPAZAN-MOFTAKHAR, A. R. ASHRAFI, M. GHORBANI, S. ALIKHANI, M. A. IRANMANESH3 AND A. IRANMANESH, Collaborations between the Iranian School of Mathematical Chemistry and the Late Professor Ante Graovac, Iranian Journal of Mathematical Chemistry, 4, No. 1, (2013), 137-142.
  12. M. Ghorbani and M. A. Hosseinzadeh, the third version of Zagreb indices, Discrete Mathematics, Algorithms and Applications, 5, No. 4 (2013) 1350039 1-12.
  13. M. R. Rostami, M. SOHRABIHAGHIGHAT, M. Ghorbani, On Second Atom-Bond Connectivity Index, Iran. J. Math. Chem., 4, No. 2, (2013) 265-2701.
  14. M. Ghorbani, E. Bani-Asadi, Counting the number of spanning trees of graphs, Iran. J. Math. Chem., 4, No. 1 (2013) 111-121.
  15. M. Ghorbani, M. A. Hosseinzadeh, ON OMEGA AND RELATED POLYNOMIALS

OF DENDRIMERS, Studia universitatis babes –Bolyai, chemia, LVIII, 1, (2013) 63-70.

  1. M. Ghorbani, COMPUTING THE WIENER INDEX OF AN INFINITE CLASS OF FULLERENES, Studia universitatis babe –Bolyai, chemia, LVIII, 1,( 2013), 43-50.

 

2014

  1. 128. M. Ghorbani, Faghani, Ashrafi, Heydari and A. Graovac, MATCH Commun. Math. Comput. Chem., 71 (2014) 341-354.
  2. M. Ghorbani, Remarks on Markaracter Table of Fullerene Graphs, Journal of Computational and Theoretical Nanoscience, 11 (2014) 1–17.
  3. M. Ghorbani, E. Bani-Asadi, Remarks on characteristic coefficients of fullerene graphs, Applied Mathematics and Computation, 230 (2014) 428–435
  4. M. Ghorbani and M Songhori, The Enumeration of Chiral Isomers of Tetraammine Platinum(II), MATCH Commun. Math. Comput. Chem., 71 (2014) 333-340.
  5. F. Koorepazan-Moftakhar, A.R. Ashrafi, Z. Mehranian, M. Ghorbani, Automorphism Group and Fixing Number of (3,6)– and (4, 6)–Fullerene Graphs, Electronic Notes in Discrete Mathematics, 45 (2014) 113-120.
  1. M. R. Rostami, M. Ghorbani, Molecular graphs with extremal first geometric-arithmetic index, Iranian J. Math. Chem.
  2. M. Ghorbani and L. Pourfaraj, Remarks on the reciprocal degree distance, Studia universitatis babe –Bolyai, chemia.
  3. M. Ghorbani and M. Songhori, Computing Wiener Index of C12n Fullerenes, Ars Combin.
  4. M. Ghorbani and N. Azimi, Difference between detour and Wiener indices, The Australian J. Combin.
  5. M. Ghorbani, ON THE EIGENVALUES OF NORMAL EDGE-TRANSITIVE CAYLEY GRAPHS, Bulletin of the Iranian Mathematical Society, 2013
  6. M. Ghorbani and M. Songhori, Remarks on the nullity of graphs, Utilitas Math.
  7. M. Ghorbani, E. Bani Asadi, On the Estrada and Laplacian Estrada indices of fullerenes, Journal of Computational and Theoretical Nanoscience.

2014

136- M Ghorbani, M Faghani, AR Ashrafi, S Heidari-Rad, A Graovac. An upper bound for energy of matrices associated to an infinite class of fullerenes. MATCH Commun. Math. Comput. Chem 71, 341-354.

137-M Ghorbani, N Azimi. Differences between detour and Wiener indices. Australas J. Combin 59 (3), 352-360

138- M Hakimi-Nezhaad, M Ghorbani. Differences between wiener and modified wiener indices. J. Math. NanoSci. 4, 19-25.

139- M Ghorbani, M Songhori. The enumeration of Chiral isomers of tetraammine platinum (II). Match-Communications in Mathematical and in Computer Chemistry 71 (2), 333-340.

140- F Koorepazan-Moftakhar, AR Ashrafi, Z Mehranian, M Ghorbani. Automorphism group and fixing number of (3, 6)–and (4, 6)–fullerene graphs. Electronic Notes in Discrete Mathematics 45, 113-120.

141- M Ghorbani, F Nowroozi Larki. Automorphism Group of Groups of Order pqr. Algebraic Structures and Their Applications 1 (1), 49-56.

142- M Ghorbani. Remarks on markaracter table of fullerene graphs. Journal of Computational and Theoretical Nanoscience 11 (2), 363-379.

143- M Ghorbani, E Bani-Asadi. Remarks on characteristic coefficients of fullerene graphs. Applied Mathematics and Computation 230, 428-435.

144- L Pourfaraj, M Ghorbani. REMARKS ON THE RECIPROCAL DEGREE DISTANCE.. Studia Universitatis Babes-Bolyai, Chemia 59 (1).

145-M GHORBANI, M SONGHORI. Computing multiplicative zagreb indices with respect to chromatic and clique numbers. Iranian Journal of Mathematical Chemistry 5 (1), 11-18.

146- M Ghorbani. SOME NEW RESULTS ON THE NULLITY OF MOLECULAR GRAPHS. Studia Universitatis Babes-Bolyai, Chemia 59 (3).

147- N Azimi, M Roumena, M Ghorbani. Relation between Wiener, Szeged and detour indices. Iranian Journal of Mathematical Chemistry 5, 45-51.

2015

148- H Shabani, AR Ashrafi, M Ghorbani .RATIONAL CHARACTER TABLE OF SOME FINITE GROUPS. Journal of Algebraic Systems 3 (2), 151-169.

149- M GHORBANI, MR HOSSEINZADEH. MINERAL CHEMISTRY AND THERMO-BAROMETRY OF MISHO MAFIC COMPLEX, SOUTHWESTERN OF MARAND TOWN, EAST AZARBAIDJAN PROVINCE. GEOSCIENCES 24 (94), 225-234.

150- M Ghorbani . On the eigenvalues of normal edge-transitive Cayley graphs. Bulletin of the Iranian Mathematical Society 41 (1), 101-107.

151- M Ghorbani. On the energy and Estrada index of Cayley graphs. Discrete Mathematics. Algorithms and Applications 7 (01), 1550005.

152- M Ghorbani, N Azimi. Characterization of split graphs with at most four distinct eigenvalues. Discrete Applied Mathematics 184, 231-236.

153- M Ghorbani, E Bani-Asadi. On the Estrada and Laplacian Estrada Indices of Fullerenes. Journal of Computational and Theoretical Nanoscience 12 (6), 1064-1068.

154- M Ghorbani. Computing Wiener Index of C24n Fullerenes.Journal of Computational and Theoretical Nanoscience 12 (8), 1847-1851.

155- M Ghorbani, M Songhori. Classification of Small Ramafullerenes. Journal of Computational and Theoretical Nanoscience 12 (9), 2463-2471.

156- Symmetry group of (3, 6)-fullerenes. M Ghorbani, M Songhori, AR Ashrafi, A Graovac. Fullerenes, Nanotubes and Carbon Nanostructures 23 (9), 788-791.

157- M Ghorbani, S Klavžar. Modified Wiener index via canonical metric representation, and some fullerene patches. Ars Mathematica Contemporanea 11 (2), 247-254.

158- MR Darafsheh, M Ghorbani, SK Prajapati. ON MAXIMAL SUBSETS OF PAIRWISE NONCOMMUTING ELEMENTS IN FINITE p -GROUPS. Bulletin of the Australian Mathematical Society 92 (3), 380-389.

2016

159- M Ghorbani, M Songhori. Nullity of Graphs. Distance, Symmetry, and Topology in Carbon Nanomaterials, 317-343.

160- . M Ghorbani, MV Diudea. Mathematical Aspects of Omega Polynomial. Distance, Symmetry, and Topology in Carbon Nanomaterials, 189-216.

161- M Ghorbani, M Hakimi-Nezhaad, FA Barfaraz . An algebraic approach to Wiener number. Journal of Applied Mathematics and Computing, 1-15.

162- M Ghorbani, FN Larki. On the spectrum of Cayley graphs. Sib. Electron. Math. Reports 13, 1283-1289.

163- AR Ashrafi. M Ghorbani. Hossein Shabani . Note on markaracter tables of finite groups. SUT Journal of Mathematics 52 (2), 133-140.

164- M Ghorbani, M Hakimi-Nezhaad. POLYHEDRAL GRAPHS UNDER AUTOMORPHISM GROUPS. Studia Universitatis Babes-Bolyai, Chemia 61 (1)

165- MR Darafsheh, M Ghorbani, SK Prajapati. ON THE SIZE OF MAXIMAL SUBSETS OF PAIRWISE NON-COMMUTING ELEMENTS IN A CERTAIN SPECIAL p-GROUP. Journal of Combinatorics and Number Theory 8 (2), 179.

166- M Ghorbani, M Songhori. On the automorphism group of polyhedral graphs. Applied Mathematics and Computation 282, 237-243.

167- M Ghorbani, M Hakimi-Nezhaad. An algebraic study of non classical fullerenes.Fullerenes, Nanotubes and Carbon Nanostructures 24 (6), 385-390.

168- M Ghorbani. On the Mark and Markaracter Tables of Finite Groups. Iranian Journal of Mathematical Chemistry 7 (2), 253-266.

169- M Ghorbani, M Songhori. Remarks on the nullity of graphs. UTILITAS MATHEMATICA 101, 139-147

2017

170- M Ghorbani, Z Gharavi-Alkhansari. A Note on Integral Non-Commuting Graphs. Filomat 31 (3), 663-669.

171- . M Ghorbani, M Songhori. Computing Wiener Index of C-12n Fullerenes. ARS COMBINATORIA 130, 175-180.

172- R Majidi, M Ghorbani. Structural and electronic properties of C and BN nanotubes based on periodic fullerenes: A density functional theory study. Fullerenes, Nanotubes and Carbon Nanostructures 25 (4), 265-268.

173- M Ghorbani, M Hakimi-Nezhaad. Study of fullerenes via their symmetry groups. Fullerenes, Nanotubes and Carbon Nanostructures.

174- M Ghorbani, A Khaksari. On the forgotten topological index. Iranian Journal of Mathematical Chemistry.

175- M Ghorbani, M Hakimi-Nezhaad. Normalized Laplacian spectrum of two new types of join graphs. Journal of Linear and Topological Algebra (JLTA) 6 (1), 1-9.

  1. M Ghorbani, M Hakimi-Nezhaad, FA Barfaraz, An algebraic approach to Wiener number, Journal of Applied Mathematics and Computing, 55 (1-2) 629-643.
  2. M Ghorbani, Z Gharavi, A Zaeem-Bashi, On the eigenvalues of non-commuting graphs, Algebraic Structures and Their Applications, 4 (2), 27-38.
  3. M Ghorbani, F Nowroozi-Larki, On the Spectrum of Cayley Graphs Related to the Finite Groups, Filomat 31:20 (2017), 6419–6429.

2018

  1. M Ghorbani, F Nowroozi-Larki, On the spectrum of finite Cayley graphs, Journal of Discrete Mathematical Sciences and Cryptography, 21 (1), 83-112.
  2. A Khaksari, M Hakimi-Nezhaad, O Ori, M Ghorbani, A survey of the automorphism groups of some fulleroids, Fullerenes, Nanotubes and Carbon Nanostructures, 26 (2), 80-86.
  3. M Ghorbani, M Songhori, MR Parsa, NORMAL EDGE-TRANSITIVE CAYLEY GRAPHS WHOSE ORDER ARE A PRODUCT OF THREE PRIMES, ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 628-635.
  4. H Shabani, AR Ashrafi, E Haghi, M Ghorbani, THE Q-CONJUGACY CHARACTER TABLE OF DIHEDRAL GROUPS, ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 89-96.
  5. M Ghorbani, M Songhori, Polyhedral graphs via their automorphism groups, Applied Mathematics and Computation 321, 1-10.
  6. V Taghvayi-Yazdelli, M Ghorbani, Characterization of bipartite Cayley graphs in terms of Boolean functions, Journal of Information and Optimization Sciences, 1-16
  7. S Zangi, M Ghorbani, M Eslampour, On the eigenvalues of some matrices based on vertex degree, Iranian Journal of Mathematical Chemistry 9 (2), 149-156.
  8. M Ghorbani, M Dehmer, S Zangi, Graph operations based on using distance-based graph entropies, Applied Mathematics and Computation 333, 547-555
  1. Counting the Number of Hetero Fullerenes Cn-kXk, For n = 180, 240, 260, 320, MATH CHEM / COMP 2006, Dubrovnik, June 19-24, 2006.
  2. On Detour index of some nano tube 2006, KINTEX, Ilsan, 30 Aug – 1 Sep, 2006.
  3. Non Rigid Group, MATH / CHEM / COMP 2007, Dubrovnik, June 11 – 16, 2007.
  4. Computing Markaracter Table and USCI Table of Finite Groups, MATH / CHEM / COMP 2007, Dubrovnik, June 11 – 16, 2007.
  5. Applications of computer algebra system gap for computing PI index and PI polynomial of fullerenes, MATH/CHEM/COMP 2008, June 10–13, 2008, Hotel Il Chiostro, Verbania-Intra (Italy).
  6. Rational Eigenvalues of Fullerenes, 14th International Congress on Computational and Applied Mathematics, 29 September – 2 October 2009, Antalya, Turkey.
  7. The Vertex PI, Szeged Polynomials and omega polynomial of Carbon NanoConesCNC4[n], The First Conference and Workshop on Mathematical Chemistry, University of Tarbiat Modares, February 2008, Tehran, Iran.
  8. The PI and Edge Szeged Polynomials of some Infinite Families of Fullerene Graphs, The Second Conference and Workshop on Mathematical Chemistry, University of Kashan, 14 April 2009, Kashan, Iran.
  9. A Note on Mark and Markaracter Table of Finite Groups, A Note on Mark and Markaracter Table of Finite Groups The Third Conference and Workshop on Mathematical Chemistry, University of Tarbiat Modares, 22 February 2010, Tehran, Iran.
  10. M. Mogharrab and M. Ghorbani, On Omega and Sadhana Polynomials of Some Fullerenes, The First International Conference on Mathematics and Statistics, January 18, 2010, Sharjah, Imarat.
  11. Some Classes of GA Index, MATH / CHEM / COMP 2010, Dubrovnik, June 7 – 13, 2010.
  12. Computing Eccentric Connectivity Index of Some Classes of Fullerenes, 6th Nanoscience and Nanotechnology Conference, Golden Dolphin Hotel, Izmir Cesme, Turkey, 15 – 18 June 2010.
  13. The Relationships Between Wiener Index, Stability Number and Clique Number of

Composite Graphs, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp. 33 – 34.

  1. Eccentric Connectivity Polynomial of an Infinite Family of Fullerenes, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.48.
  2. Computing Omega and PI Polynomials of Graphs, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.50.
  3. On The Wiener and Szeged Indices of Some Nano Structures, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.52.
  4. Computing ABC Index of Nanostar Dendrimers, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.53.
  5. Computing Eccentric Connectivity Polynomial Of Fullerenes, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.58.
  6. On Omega and Sadhana Polynomials Of Leapfrog Fullerenes, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.60.
  7. Computing ABC4 Index of Nanostar Dendrimers, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.73.
  8. Computing Omega and Sadhana Polynomials of Fullerenes, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.78.
  9. Eccentric Connectivity Index Of Some Dendrimers, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.94.
  10. Omega Polynomial in Crystal-like Networks, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.103.
  11. Energy Of Some Nanostructures, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.107.
  12. Computing Nullity of Zig – Zag Nanotube, The First Iranian Conference on Chemical Graph Theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 6 – 7 October, 2010, pp.109.
  13. The Cycle Index of the Symmetry Group of an Infinite Family of Fullerenes, Workshop on Metric Graphs and Applications, Industrial University of Isfahan, 2 February 2008.
  14. Computing Mark Table and Markaracter Tables of Finite Groups, 19 th Algebra Seminar, 12 – 13 March 2008, University of Semnanm, semnan, Iran.
  15. Counting The Number of Hetero Fullerenes, The Third Student Conference On Nano Technology, 7 – 9 February, 2007, University of Shiraz, Shiraz, Iran.
  16. Modjtaba Ghorbani, The relationships between Wiener index, tability number and clique number of composite graphs, 7th Slovenian International Conference on Graph Theory, 19-25 June 2011 Bled, Slovenia.
  17. Modjtaba Ghorbani, Markaracter table of finite groups and its application in counting hetero – fullerenes, International conference on applied analysi and algebra, Yildiz technical university, 29 – 30 June, 1 – 2 July, Stanbul, Turkey (2011).
  18. M. Ghorbani, M. Songhori, A note on vertex transitive graphs, International conference on applied analysis and algebra, Yildiz technical university, 29 – 30 June, 1 – 2 July, Stanbul, Turkey (2011).
  19. M. Ghorbani, M. A. Hosseinzadeh, Relationship between Wiener index and clique number, International conference on applied analysis and algebra, Yildiz technical university, 29 – 30 June, 1 – 2 July, Stanbul, Turkey (2011).
  20. Modjtaba Ghorbani, A note on Balaban index, 7th Nanoscience and Nanotechnology Conference, June 27 – July 1, Istanbul, Turkey (2011).
  21. A. R. Ashrafi, M. Faghani and M. Ghorbani, The Cycle Index of Nanotubes, 7th Nanoscience and Nanotechnology Conference, June 27 – July 1, Istanbul, Turkey (2011).
  22. M. Ghorbani, Relation between Wiener index and Laplacian eigenvalues, 5th conference on Mathematical Chemistry,February, 15- 17, Yazd, Iran (2012).
  23. M. Ghorbani, Enumeration of Hetero fullerenes, 5th conference on Mathematical Chemistry, February, 15- 17, Yazd, Iran (2012).
  24. M. Songhori and M. Ghorbani, Some new results on nullity of graphs, 5th conference on Mathematical Chemistry, February, 15- 17, Yazd, Iran (2012).
  25. M. Songhori and M. Ghorbani, Product Zagreb index, 5th conference on Mathematical Chemistry, February, 15- 17, Yazd, Iran (2012).
  26. M. Ghorbani, A Note On Vertex Transitive Graphs, MATH / CHEM / COMP 2011, Dubrovnik, June 12 – 18, 2011.
  27. M. Songhori and M. ghorbani, A new method for enumerating of permutational isomers of fullerenes, The Second Iranian Conference on Chemical Graph Theory and First conference on algebraic graph theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 20 – 22 October, 2011.
  28. M. Ghorbani and M. Songhori, A note on eigenvalues of fullerene graphs, The Second Iranian Conference on Chemical Graph Theory and First conference on algebraic graph theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 20 – 22 October, 2011.
  29. M. Ghorbani and S. Heydari Rad, The concept of the USCI table, The Second Iranian Conference on Chemical Graph Theory and First conference on algebraic graph theory, Tehran, Lavizan, Shahid Rajaee Teacher Training University, 20 – 22 October, 2011.
  1. R. Ashrafi, M. Ghorbani, n-separable groups, Co – author, University of Kashan, 2008.
  2. R. Ashrafi, M. Ghorbani, Counting polynomial of fullerenes, Co – author, University of Kashan, 2009.
  3. R. Ashrafi, M. Ghorbani, Topological indices and counting polynomial of fullerenes, Co – author, University of Kashan, 2011.
  4. Ghorbani, Computing GA Indices of Some Classes of Graphs, Shahid Rajaee Teacher Training University, 2010.
  5. . A. Zaeembashi, M. Ghorbani, On GA Indices of Some fullerene and nanotube Graphs, Shahid Rajaee Teacher Training University, 2010.
  6. Ghorbani, Computing Some Topological Indices Based On Eccentricity, Shahid Rajaee Teacher Training University, 2011.
  7. Mesgarani, Modjtaba Ghorbani, Counting polynomial of nano – horns, Shahid Rajaee Teacher Training University, 2010.
  8. Ghorbani, Computing mark and markaracter tables of automorphism groups of some nanostructures, Shahid Rajaee Teacher Training University, 2011.
  9. Ghorbani, Graph operetions with applications in nano technology, Shahid Rajaee Teacher Training University, 2011.
  10. Ghorbani, Vertex transitive graphs with applications, Shahid Rajaee Teacher Training University, 2011.
  1. R. Ashrafi, M. Ghorbani and M. Jalali, Mathematics of Fullerene, Part (I), Topological Indices, Soroosh Danesh Publication, Tehran, 2010.
  2. R. Ashrafi and M. Ghorbani, Mathematics of Fullerene, Part (II), Cunting Polynomials, Soroosh Danesh Publication, Tehran, 2010.
  3. Omega and Sadhana Polynomials Of Nanostructueres, Shahid Rajaee University Publication, Tehran, 2010.
  4. R. Ashrafi and M. Ghorbani, Eccentric Connectivity Index of Fullerenes, In: Novel Molecular Structure Descriptors – Theory and Applications II, pp. 183 – 192.
  5. Ali Reza Ashrafi, Modjtaba Ghorbani, Mircea V. Diudea, and Ante Graovac, Omega Polynomials of Fullerenes and Nanotubes, In: Franco Cataldo, Ante Graovac,. Ottorino Ori, The Mathematics and Topology of Fullerenes, Springer Dordrecht Heidelberg London New York (2011).
  6. Ghorbani, A. R. Ashrafi and Yousefi, Wiener Index of Nanotubes and Nanotori, In: Distance in Molecular Graphs – Applications, pp. 157 – 166.
  7. Ghorbani, Computing Wiener Index of Chemical Compounds by Cut Method, In: Distance in Molecular Graphs – Theory, pp. 71 – 83.
  8. Modjtaba Ghorbani, Enumeration of Hetero molecules, In: A. R. Ashrafi, Franco Cataldo, A. Iranmanesh,. Ottorino Ori, Topological modeling of nanostructures and extended systems, Springer Dordrecht Heidelberg London New York (2013).

Undergraduate Level: Number Theory, Algebra, Linear Algebra, Graph Theory, Ordinary Differential Equation, Calculus, Group Theory, Character Theory and Ring Theory.

Postgraduate Level: Lattice Theory, Group Theory, Character Theory, Permutation Groups, Computational Group Theory, Applications of Group Theory in Physics, Graph Theory.