History of mathematical-chemistry in Iran: Scientific works of Alireza Ashrafi

[1] M. Aliofkhazraei, Handbook of Functional Nanomaterials, Vol. 3: Application and Development,
Nova Publishers, New York, 2014; pp. 225-237.
[2] M. Aliofkhazraei, N. Ali, W. I. Milne, C. S. Ozkan, S. Mitura, J. L. Gervasoni, Graphene Scince
Handbook: Nanostructure and Atomic Arrangement, CRC Press, Taylor Francis Group, 2016; pp.
159-164.
[3] M. Arezoomand, B. Taeri, Full non-rigid group of di-mu-oxo-bis (tetraamine manganese (II)) as a
Wreath product, MATCH Commun. Math. Comput. Chem. 62 (2009) 275–284.
[4] A. R. Ashrafi, Computing symmetry of dendrimers by wreath product formalism, Symmetry: cult.
sci. 19(4) (2008) 263–268.
[5] A. R. Ashrafi, On a new algorithm for computing symmetry of big fullerenes, Collect. Czechoslov.
Chem. Commun. 71(9) (2006) 1270–1277.
[6] A. R. Ashrafi, On symmetry properties of molecules, Chem. Phys. Lett. 403 (2005) 75–80.
[7] A. R. Ashrafi, The full non-rigid group and symmetry of DimethylTrichloroPhosphorus, Chin. J.
Chem. 23(7) (2005) 829–834.
[8] A. R. Ashrafi, M. R. Ahmadi, New computer program to calculate the symmetry of molecules,
Cent. Eur. J. Chem. 3(4) (2005) 647–657.
[9] A. R. Ashrafi, M. R. Ahmadi, Symmetry of fullerene C60, Iran. J. Math. Sci. Inform. 1(1) (2006) 1–13.
[10] A. R. Ashrafi, F. Cataldo, A. Iranmanesh, O. Ori, Topological Modelling of Nanostructures and
Extended Systems, Carbon Materials: Chemistry and Physics 7, Springer-Varlag, 2013; pp. 473–486.

[11] A. R. Ashrafi, F. Cataldo, A. Iranmanesh, O. Ori, Topological Modelling of Nanostructures and
Extended Systems, Carbon Materials: Chemistry and Physics 7, Springer-Varlag, 2013; pp. 487–
510.
[12] A. R. Ashrafi, M. V. Diudea, Distance, Symmetry and Topology in Carbon Nanomaterials, Carbon
Materials: Chemistry and Physics 9, Springer-Verlag, 2016; pp. 33-50.
[13] A. R. Ashrafi, M. V. Diudea, Distance, Symmetry and Topology in Carbon Nanomaterials, Carbon
Materials: Chemistry and Physics 9, SpringerVarlag, 2016; pp. 51-59.
[14] A. R. Ashrafi, M. V. Diudea, Distance, Symmetry and Topology in Carbon Nanomaterials, Carbon
Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 61-82.
[15] A. R. Ashrafi, M. V. Diudea, Distance, Symmetry and Topology in Carbon Nanomaterials, Carbon
Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 281-301.
[16] A. R. Ashrafi, M. V. Diudea, Distance, Symmetry and Topology in Carbon Nanomaterials, Carbon
Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 463-471.
[17] A. R. Ashrafi, P. Farhami, Characterization of 3D visualization method for DNA sequences, Rom.
J. Phys. 57(3-4) (2012) 720-725.
[18] A. R. Ashrafi, A. Gholami, Symmetry of tetra-tert-butyltetrahedrane, Asian J. Chem. 19(1) (2007)
569–573.
[19] A. R. Ashrafi, M. Ghorbani, A note on markaracter tables of finite groups, MATCH Commun.
Math. Comput. Chem. 59 (2008) 595–603.
[20] A. R. Ashrafi, M. Ghorbani, Computational study of fullerenes by Gap, Digest J. Nanomater.
Biostruct. 4 (2009) 313– 317.
[21] A. R. Ashrafi, M. Ghorbani, Computer application of GAP to the evaluation of numbers of permutational isomers of hetero fullerenes, MATCH Commun. Math. Comput. Chem. 60 (2008) 359–367.
[22] A. R. Ashrafi, M. Ghorbani, Counting the number of hetero fullerenes, J. Comput. Theor. Nanosci.
3 (2006) 803–810.
[23] A. R. Ashrafi, M. Ghorbani, Mathematics of Fullerenes, Part II: Counting Problems, Soroush
Danesh University of Kashan Press, Tehran, 2010.
[24] A. R. Ashrafi, M. Ghorbani, M. Jalali, Mathematics of Fullerenes, Part I: Topological Indices,
Soroush Danesh University of Kashan Press, Tehran, 2010.
[25] A. R. Ashrafi, M. Hamadanian, Full non-rigid group theory and symmetry of melamine, J. Iran.
Chem. Soc. 2(2) (2005) 135–139.
[26] A. R. Ashrafi, M. Hamadanian, On the symmetry of bis benzene Chromium(0) with D6d point
group, Arg. Chem. Soc. 94 (2006) 47–53.
[27] A. R. Ashrafi, M. Hamadanian, Symmetry properties of some chemical graphs, Croat. Chem. Acta
78(2) (2005) 159–163.
[28] A. R. Ashrafi, F. Koorepazan-Moftakhar, M. V. Diudea, Distance Under Symmetry: (3,6)-
Fullerenes, In: Distance, Symmetry and Topology in Carbon Nanomaterials, A. R. Ashrafi, M.
V. Diudea (eds.), Carbon Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 51–59.
[29] A. R. Ashrafi, F. Koorepazan-Moftakhar, M. V. Diudea, Topological symmetry of nanostructures,
Fuller. Nanotub. Carbon Nanostructures 23(12) (2015) 989–1000.
[30] A. R. Ashrafi, F. Koorepazan-Moftakhar, O. Ori, Symmetry and Topology of Graphenes, In:
Graphene Science Handbook: Nanostructure and Atomic Arrangement, Mahmood Aliofkhazraei,
Nasar Ali, William I. Milne, Cengiz S. Ozkan, Stanislaw Mitura, Juana L. Gervasoni (eds.), CRC
Press, Taylor and Francis Group, 2016; pp. 159–164.
[31] A. R. Ashrafi, A. Loghman, PI index of zig-zag polyhex nanotubes, MATCH Commun. Math.
Comput. Chem. 55 (2006) 447–452.
[32] A. R. Ashrafi, B. Manoochehrian, H. Yousefi-Azari, On the PI polynomial of a graph, Util. Math.
71 (2006) 97–108.
[33] A. R. Ashrafi, G. R. Vakili-Nezhaad, Computing the PI index of some chemical graphs related to
nanostructures, J. Phys. Conf. Ser. 29 (2006) 181–184.
[34] M. Azari, A. Iranmanesh, I. Gutman, Zagreb indices of bridge and chain graphs, MATCH Commun. Math. Comput. Chem. 70 (2013) 921–938.
[35] A. Bahrami, J. Yazdani, H. Yousefi-Azari, A. R. Ashrafi, Nanocomputing and Fullerenes, Andisheh
Zohoor, Tehran, 2008.

[36] K. Balasubramanian, O. Ori, F. Cataldo, A. R. Ashrafi, M. V. Putz, Face colorings and chiral face
colorings of icosahedral giant fullerenes: C80 to C240, Fullerenes, Nanotubes and Carbon Nanostructures 29 (2020) 1–12.
[37] S. C. Basak, G. Restrepo, J. L. Villaveces, Advances in Mathematical Chemistry and Applications,
Bentham Science Publishers, 2014; pp. 3–23.
[38] F. Cataldo, A. Graovac, O. Ori, The Mathematics and Topology of Fullerenes, Springer-Varlag,
2011; pp. 1–20.
[39] F. Cataldo, A. Graovac, O. Ori, The Mathematics and Topology of Fullerenes, Springer Netherlands, Dordrecht (2011), pp. 21–38.
[40] A. Dabirian, A. Iranmanesh, The full non-rigid group theory for the bipyramidal geometry of
pentamethylphosphorus, MATCH Commun. Math. Comput. Chem. 53 (2005) 357–376.
[41] A. Dabirian, A. Iranmanesh, The full non-rigid group theory for trimethylamine-BH3 complex,
MATCH Commun. Math. Comput. Chem. 54 (2005) 75–88.
[42] A. Dabirian, A. Iranmanesh, The molecular symmetry group theory for trimethylamine-BH3 addend, J. Math. Sci. Inf. 1 (2006) 15–23.
[43] M. R. Darafsheh, A. R. Ashrafi, A. Darafsheh, Erratum: The symmetry group of nonrigid tetramethylsilane, Int. J. Quantum Chem. 108 (2008) 1411–1413.
[44] M. R. Darafsheh, A. R. Ashrafi, A. Darafsheh, The symmetry group of non-rigid tetramethylsilane,
Int. J. Quantum Chem. 108 (2008) 440–446.
[45] M. R. Darafsheh, Y. Farjami, A. R. Ashrafi, Symmetries of weighted complete graph of tetranitrocubane and octanitrocubane, MATCH Commun. Math. Comput. Chem. 54 (2005) 331–340.
[46] M. Deza, M. Dutour, Zigzag structure of simple two-faced polyhedra, Comb. Probab. Comput. 14
(2005) 31–57.
[47] M. Deza, M. D. Sikiric, P. W. Fowler, The symmetries of cubic polyhedral graphs with face size no ´
larger than 6, MATCH Commun. Math. Comput. Chem. 61 (2009) 589–602.
[48] M. V. Diudea, A. R. Ashrafi, M. Hakimi-Nezhaad, Symmetry of hyper-adamantanes, Fuller. Nanotub. Carbon Nanostructures 28(8) (2020) 650–655.
[49] M. V. Diudea, A. Parvan-Moldovan, F. Koorepazan-Moftakhar, A. R. Ashrafi, Topological Symmetry of Multishell Clusters, In: Distance, Symmetry and Topology in Carbon Nanomaterials, A. R.
Ashrafi, M. V. Diudea (eds.), Carbon Materials: Chemistry and Physics 9, Springer-Varlag, 2016;
pp. 61–82.
[50] M. V. Diudea, C. L. Nagy, Diamond and Related Nanostructures, Carbon Materials: Chemistry
and Physics 6, Springer-Varlag, 2013; pp. 321–333.
[51] M. Eliasi, A. Iranmanesh, I. Gutman, Multiplicative versions of first Zagreb index, MATCH Commun. Math. Comput. Chem. 68 (2012) 217–230.
[52] M. Faghani, G. Y. Katona, A. R. Ashrafi, F. Koorepazan-Moftakhar, A Lower Bound for Graph Energy of Fullerenes, In: Distance, Symmetry and Topology in Carbon Nanomaterials, A. R. Ashrafi,
M. V. Diudea (eds.), Carbon Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 463–
471.
[53] P. Farhami, A. R. Ashrafi, On analyzing DNA sequences, Bulg. Chem. Commun. 42(4) (2010) 335-
337.
[54] K. Fathalikhani, F. Koorepazan-Moftkhar, M. Ghorbani, S. Alikhani, M. A. Iranmanesh, A. Iranmanesh, Collaborations between the Iranian school of mathematical chemistry and the late Professor Ante Graovac, Iranian J. Math. Chem. 4(1) (2013) 137–142.
[55] A. Gholami, A. R. Ashrafi, Calculating the symmetry of C24 fullerene, Asian J. Chem. 20 (2008)
838–844.
[56] A. Gholami, A. R. Ashrafi, Symmetry of dimanganese decacarbonyl with D4d point group, Indian
J. Chem. Ser. A 47 (2008) 228–231.
[57] A. Gholami, A. R. Ashrafi, M. Ghorbani, Symmetry of benzenoid chains, Bull. Chem. Technol.
Macedonia. 25 (2006) 23–27.
[58] A. Gholami, A. R. Ashrafi, F. Nazari, Calculating the symmetry of hexamethylcyclohexane, Maced.
J. Chem. Chem. Eng. 26 (2007) 115–124.
[59] A. Gholami, J. Safaei, A. R. Ashrafi, M. Ghorbani, Symmetry of tetrahydroxy calix[4] arenes, J.
Serb. Chem. Soc. 71 (2006) 1025–1029.
[60] M. Ghorbani, Enumeration of heterofullerenes: A survey, MATCH Commun. Math. Comput.
Chem. 68 (2012) 381–414. 

[61] M. Ghorbani, Memories of Me and My Teacher, Professor Seyed Alireza Ashrafi, Iranian Mathematician, Shahid Rajaee Teacher Training University Press, Tehran, 2023.
[62] M. Ghorbani, A. R. Ashrafi, Computing USCI table of an infinite family of fullerenes, J. Comput.
Theor. Nanosci. 9 (2012) 681–687.
[63] M. Ghorbani, A. R. Ashrafi, The cycle index of the symmetry group of fullerenes C24 and C150,
Asian J. Chem. 19(2) (2007) 1109-1114.
[64] M. Ghorbani, A. R. Ashrafi, M. Jalali, M. A. Hossein-Zadeh, Omega and Sadhana Polynomials of
Nano Structures, Shahid Rajaee University Press, Tehran, 2010.
[65] M. Ghorbani, A. M. Hosseinzadeh, I. Gutman, The truncated Randic-type indices, Kragujevac ´
Journal of Science (2010) 47–56.
[66] M. Ghorbani, M. Jalal-Abadi, A.R. Ashrafi, Computing Orbits of the Automorphism Group of the
Subsequence Poset Bm,n, Order, 23 (2006) 163–168 .
[67] M. Ghorbani, M. Jalali, Counting numbers of permutational isomers of hetero fullerenes, Digest J.
Nanomater. Biostruct. 3 (2008) 269–275.
[68] T. Dosli ˇ c, M. Ghorbani, O. Ori, M. Putz, Honoring the memory of professor Ali Reza Ashrafi, J. ´
Discrete Math. Appl 8 (2023) 1–8.
[69] M. Ghorbani, M. Songhori, A. R. Ashrafi, A. Graovac, Symmetry group of (3,6)-fullerenes, Fuller.
Nanotub. Carbon Nanostructures 23(9) (2015) 788–791.
[70] M. Ghorbani, M. Songhori, I. Gutman, Modified Narumi-Katayama index, Kragujevac J. Sci. 34
(2012) 57–64.
[71] I. Gutman, Scientific cooperation Ashrafi-Gutman, J. Disc. Math. Appl. 8 (1) (2023) 1–3.
[72] I. Gutman, B. Furtula, Distance in Molecular Graphs-Theory, University of Kragujevac, 2012; pp.
223–230.
[73] I. Gutman, B. Furtula, Distance in Molecular Graphs - Applications, University of Kragujevac,
2012; pp. 135–155.
[74] I. Gutman, B. Furtula, Distance in Molecular Graphs - Applications, University of Kragujevac,
2012; pp. 157–166.
[75] I. Gutman, B. Furtula, Novel Molecular Structure Descriptors - Theory and Applications II, University of Kragujevac, Kragujevac, 2010; pp. 183–192.
[76] I. Gutman, B. Furtula, Novel Molecular Structure Descriptors-Theory and Applications I, University of Kragujevac, Kragujevac, 2010; pp. 217-226.
[77] I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Berlin, Boston: De
Gruyter, 1986; pp. 348–350.
[78] I. Gutman, M. Ghorbani, Some properties of the Narumi-Katayama index, Applied Mathematics
Letters. 25 (2012) 1435–1438.
[79] M. Hamadanian, A. R. Ashrafi, The full non-rigid group theory for Cis & Trans-Diamino Dichloro
Platinum (II) and Trimethylamine, Croat. Chem. Acta. 76(4) (2003) 305–312.
[80] A. Hamzeh, A. Iranmanesh, T. Reti, I. Gutman, Chemical graphs constructed of composite graphs ´
and their q-wiener index, MATCH Commun. Math. Comput. Chem. 72 (2014) 807–833.
[81] M. A. Iranmanesh, A. R. Ashrafi, K. Amini, Yazd University Press, Yazd, 2015.
[82] A. Iranmanesh, A. R. Ashrafi, A. Loghman, B. Soleimani, PI Index of Nanotubes and Nanotori,
Tarbiat Modares University (Jihad Daneshgahi), Tehran, 2008.
[83] A. Iranmanesh, A. Dabirian, Nonrigid Group Theory of Ammonia Tetramer: (NH3) 4, MATCH
Commun. Math. Comput. Chem. 56 (2006) 317–330.
[84] A. Iranmanesh, I. Gutman, O. Khormali, A. Mahmiani, The edge versions of the Wiener index,
MATCH Commun. Math. Comput. Chem. 61 (2009) 663–672.
[85] A. Iranmanesh, M. A. Hosseinzadeh, I. Gutman, On multiplicative Zagreb indices of graphs, Iranian J. Math. Chem. 3 (2012) 145–154.
[86] A. Iranmanesh, S. Memarzadeh, Study of the restricted non-rigid group of tetramethyl tungsten
hybrid, Asian J. Chem. 19 (2007) 1027.
[87] Iranian Journal of Mathematical Chemistry: https://ijmc.kashanu.ac.ir/
[88] M. Jalali, M. Ghorbani, Counting numbers of permutational isomers of an infinite family of
fullerenes, Stud. Univ. Babes-Bolyai, Chem. 4 (2009) 145–152.
[89] G. Y. Katona, M. Faghani, A. R. Ashrafi, Centrosymmetric graphs and a lower bound for graph
energy of fullerenes, Discuss. Math. Graph Theory 34(4) (2014) 751–768.

[90] M. H. Khalifeh, H. Yousefi-Azari, A.R. Ashrafi, The hyper-Wiener index of graph operations, Comput. Math. Appl. 56(5) (2008) 1402-1407.
[91] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, Order of magnitude of the PI index, MATCH
Commun. Math. Comput. Chem, 65 (2011) 51-56.
[92] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, A method for computing the Wiener index of
one-pentagonal carbon nanocones, Nanoscience 6 (2010) 155-157.
[93] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, S. G. Wagner, Some new results on distance-based
graph invariants, Eur. J. Comb. 30 (2009) 1149-1163.
[94] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, The first and second Zagreb indices of some graph
operations, Discret. Appl. Math. 157 (2009) 804-811.
[95] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, A matrix method for computing Szeged and vertex
PI indices of join and composition of graphs, Linear Algebra and its Applications, 429 (2008) 2702-
2709.
[96] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, I. Gutman, The edge Szeged index of product
graphs, Croat. Chem. Acta 81 (2008) 277-281.
[97] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, Vertex and edge PI indices of Cartesian product
graphs, Discrete Appl. Math. 156 (2008) 1780-1789.
[98] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, Computing Wiener and Kirchhoff indices of a
triangulane, Indian J. Chem. Sect. A 47 (2008) 1503-1507.
[99] M. H. Khalifeh, H. Yousefi-Azari, A. R. Ashrafi, Another aspect of graph invariants depending on
the path metric and an application in nanoscience, Comput. Math. Appl. 60 (2010) 2460-2468.
[100] O. Khormali, A. Iranmanesh, I. Gutman, A. Ahmadi, Generalized Schultz index and its edge versions, MATCH Commun. Math. Comput. Chem. 64 (2010) 783–798.
[101] F. Koorepazan-Moftakhar, A. R. Ashrafi, Distance under symmetry, MATCH Commun. Math.
Comput. Chem. 74(2) (2015) 259–272.
[102] F. Koorepazan-Moftakhar, A. R. Ashrafi, Note on symmetry of molecules, MATCH Commun.
Math. Comput. Chem. 78(2) (2017) 273–279.
[103] F. Koorepazan-Moftakhar, A. R. Ashrafi, Symmetry and PI index of C60+12n fullerenes, J. Comput.
Theor. Nanosci. 10(10) (2013) 2490–2492.
[104] F. Koorepazan-Moftakhar, A. R. Ashrafi, M. Diudea, O. Ori,Graovac-Pisanski index of fullerenes
and fullerene-like molecules, Fuller. Nanotub. Carbon Nanostructures 24 (2016) 779–785.
[105] F. Koorepazan-Moftakhar, A. R. Ashrafi, Z. Mehranian, Symmetry and PI polynomials of C60+10n
fullerenes, MATCH Commun. Math. Comput. Chem. 71(2) (2014) 425–436.
[106] F. Koorepazan-Moftakhar, A. R. Ashrafi, Z. Mehranian, M. Ghorbani, Automorphism group and
fixing number of (3,6)-and (4,6)-fullerene graphs, Electron. Notes Discrete Math. 45 (2014) 113–120.
[107] F. Koorepazan-Moftakhar, A. R. Ashrafi, O. Ori, Symmetry groups and Graovac-Pisanski index of
some linear polymers, Quasigroups Relat. Syst. 26 (2018) 87–102.
[108] F. Koorepazan-Moftakhar, A. R. Ashrafi, O. Ori, M. V. Putz, An Algebraic Modification of Wiener
and Hyper-Wiener Indices and Their Calculations for Fullerenes, In: Distance, Symmetry and
Topology in Carbon Nanomaterials, A. R. Ashrafi, M. V. Diudea (eds.), Carbon Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 33–50.
[109] F. Koorepazan-Moftakhar, A. R. Ashrafi, O. Ori, M. V. Putz, Geometry and Topology of Nanotubes
and Nanotori. In: Putz, M., Ori, O. (eds) Exotic Properties of Carbon Nanomatter. Carbon Materials: Chemistry and Physics, vol 8. Springer, Dordrecht, 2015.
[110] F. Koorepazan-Moftakhar, O. Ori, A. R. Ashrafi, Symmetry-based invariants of nanostructures and
their effect on edge states of carbon nanotubes, Fuller. Nanotub. Carbon Nanostructures. 27(3)
(2019) 215–224.
[111] S. Madani, A. R. Ashrafi, Symmetry and two symmetry measures for the web and spider web
graphs, J. Appl. Math. Comput. 64 (2020) 1–12.
[112] G. A. Mansoori, G. R. Vakili-Nezhaad, Ashrafi, Some mathematical concepts applicable in nanothermodynamics, Int. J. Pure Appl. Math. 2 (2005) 58–61.
[113] Z. Mehranian, A. R. Ashrafi, Topological Indices of 3-Generalized Fullerenes, In: Distance, Symmetry and Topology in Carbon Nanomaterials, A. R. Ashrafi, M. V. Diudea (eds.), Carbon Materials: Chemistry and Physics 9, Springer-Varlag, 2016; pp. 281–301.
[114] Z. Mehranian, A. Gholami, A. R. Ashrafi, Experimental results on the symmetry and topology of 3- and 4-generalized fullerenes, J. Comput. Theor. Nanosci. 11(11) (2014) 2283–2288.
[115] M. Mirzargar, M. J. Nadjafi-Arani, A. R. Ashrafi, Topological symmetry of two families of dendrimers, Stud. Univ. Stud. Univ. Babes-Bolyai, Chem. 56(3) (2011) 273–278.
[116] G. A. Moghani, A. R. Ashrafi, Application of a mathematical problem to the symmetry of fullerene
C60, J. Phys. Conf. Ser. 29 (2006) 14–17.
[117] G. A. Moghani, A. R. Ashrafi, On symmetry of some non-transitive chemical graphs, Croat. Chem.
Acta 79 (2006) 465–469.
[118] G. A. Moghani, A. R. Ashrafi, On the PI index of some nanotubes, J. Phys. Conf. Ser. 29 (2006) 159.
[119] G. A. Moghani, A. R. Ashrafi, M. Hamadanian, Symmetry properties of tetraammine platinum(I I)
with C2v and C4v point groups, J. Zhejiang Univ. Sci. B 6 (2005) 222–226.
[120] G. A. Moghani, A. R. Ashrafi, S. Naghdi, M. A. Ahmadi, London Mathematical Society Lecture
Note Series, Automorphism groups of some chemical graphs, 340 (2007) 630.
[121] M. V. Putz, O. Ori, Exotic Properties of Carbon Nanomatter, Carbon Materials: Chemistry and
Physics 8, Springer-Varlag, 2015; pp. 131-152.
[122] M. V. Putz, O. Ori, Sustainable Nanosystems Development, Properties, and Applications, IGI
Global, 2017; pp. 615-656.
[123] M. V. Putz, Quantum Frontiers of Atoms and Molecules, Nova Publisher, 2011; pp. 499–520.
[124] G. Restrepo, Mathematical chemistry, a new discipline: In Essays in the philosophy of chemistry,
E. Scerri, G. Fisher, Eds. Oxford University Press: New York, UK, 2016; Chapter 15, 332–351.
[125] S. Shabani, A. R. Ashrafi, Symmetry-moderated Wiener index, MATCH Commun. Math. Comput.
Chem. 76(1) (2016) 3–18.
[126] H. Shabani, A. R. Ashrafi, M. Ghorbani, Note on markaracter tables of finite groups, SUT J. Math.
52 (2016) 133–140.
[127] H. Shabani, A. R. Ashrafi, M. Ghorbani, Rational character table of some finite groups, J. Algebr.
Syst. 3 (2016) 151–169.
[128] R. Todeschini, V. Consonni, Molecular Descriptors for Chemoinformatics, Wiley-VCH, Weinheim,
2009.
[129] B. Taeri, M. Arezoomand, The full non-rigid group theory for TBA (tert-butyl alcohol), Journal of
the Iranian Chemical Society 5 (2008) 514–518.
[130] The First Confrence and Workshop on Mathmatical Chemistry, Tarbiat Modares University, Tehran
January 29–31, 2008.
[131] The First Iranian Conference on Chemical Graph Theory, Shahid Rajaee Teacher Training University, Tehran, October 6–7, 2010.
[132] The Second Iranian Conference and Workshop on Mathematical Chemistry, University of Kashan,
Kashan, April 14–16, 2009.
[133] The Second Iranian Conference on Chemical Graph Theory and the First Conference on Algebraic
Graph Theory, Shahid Rajaee Teacher Training University, Tehran October 6–7, 2010.
[134] The Third Iranian Conference and Workshop on Mathematical Chemistry, Tarbiat Modares University, Tehran, February 22–24, 2010.
[135] The Third Iranian Conference on Chemical graph theory and the second Iranian Conference on
Algebraic Graph Theory, Bu-Ali Sina University, Hamadan, 2–4 September, 2013.
[136] The 4th Conference and Workshop in Mathematical Chemistry, Dezful Azad University, Dezful,
February 5–6, 2011.
[137] The 5th Conference and Workshop on Mathmatical Chemistry, Payame Noor University of Yazd,
February 15–17, 2012.
[138] The 6th Conference and Workshop on Mathmatical Chemistry, Persian Gulf University, Bushehr,
February 13–14, 2013.
[139] The 7th Conference and Workshop on Mathmatical Chemistry, Payam Noor University, Saveh,
February 4–6, 2013.
[140] The 8th Conference and Workshop on Mathmatical Chemistry, Tarbiat Modares University,
Tehran, May 10–11, 2018.
[141] N. Trinajstic, I. Gutman, Mathematical chemistry, Croat. Chem. Acta 75(2) (2002) 329-356. ´
[142] G. R. Vakili-Nezhaad, G. A. Mansoori, A. R. Ashrafi, Symmetry property of fullerenes, J. Comput.
Theor. Nanosci. 4 (2007) 1202–1205.
[143] M. Yavari, A. R. Ashrafi, A new method for computing the symmetry of big fullerene C180, Asian J. Chem. 20(7) (2008) 5119–5122.
[144] M. Yavari, A. R. Ashrafi, On the symmetry of a zig-zag and an armchair polyhex carbon nanotorus,
Symmetry 1 (2009) 145–152.
[145] H. Yousefi-Azari, A. R. Ashrafi, M. H. Khalifeh, Wiener index of organosilicon dendrimer, Optoelectron. Adv. Mater. Rapid Commun. 8 (2014) 961-963.
[146] H. Yousefi-Azari, M. H. Khalifeh, A. R. Ashrafi, Calculating the edge Wiener and edge Szeged
indices of graphs, J. Comput. Appl. Math. 235 (2011) 4866-4870.
[147] H. Yousefi-Azari, A. R. Ashrafi, M. H. Khalifeh, Wiener index of micelle-like chiral denderimers,
Studia Universitatis Babes-Bolyai, Chemia 4 (2010) 125-130.
[148] H. Yousefi-Azari, A. R. Ashrafi, M. H. Khalifeh, Computing vertex-PI index of single and multiwalled nanotubes, Digest J. Nanomater. Biostruct. 3 (2008) 315-318.
[149] H. Yousefi-Azari, B. Manoochehrian, A. R. Ashrafi, The PI index of product graphs, Appl. Math.
Lett. 21(6) (2008) 624-627.
[150] S. Yousefi, H. Yousefi-Azari, A. R. Ashrafi, M. H. Khalifeh, Computing Wiener and Szeged indices
of an achiral polyhex nanotorus 33 (2008) 7-11.