Schultz and Modified Schultz Polynomials of Coronene Polycyclic Aromatic Hydrocarbons

Farahani, M. R.

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Tytuł artykułu

Schultz and Modified Schultz Polynomials of Coronene Polycyclic Aromatic Hydrocarbons

Autorzy

Farahani M. R.

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Abstrakty

Let G = (V;E) be a simple connected graph. The sets of vertices and edges of G are denoted by V = V(G) and E = E(G), respectively. In such a simple molecular graph, vertices represent atoms and edges represent bonds. The distance between the vertices u and v in V(G) of graph G is the number of edges in a shortest path connecting them, we denote by d(u,v). In graph theory, we have many invariant polynomials for a graph G. In this research, we computing the Schultz polynomial, Modified Schultz polynomial, Hosoya polynomial and their topological indices of a Hydrocarbon molecule, that we call “Coronene Polycyclic Aromatic Hydrocarbons”.

Słowa kluczowe

topological Indices Schultz Polynomial Hosoya Polynomial Wiener Index coronene polycyclic aromatic hydrocarbons PAHs

Wydawca

Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"

Czasopismo

International Letters of Chemistry, Physics and Astronomy

Rocznik

2014

Tom

Vol. 13, iss. 1

Strony

1--10

Opis fizyczny

Bibliogr. 74 poz., rys., wz.

Twórcy

autor

Farahani M. R.

mrfarahani88@gmail.com

Department of Applied Mathematics, Iran University of Science and Technology (IUST), Narmak, Tehran 16844, Iran

Bibliografia

[1] H. Wiener, J. Amer. Chem. Soc. 69 (1947) 17-20.
[2] P.V. Khadikar, S. Karmarkar, Acta Chim. Slov. 49 (2002) 755-771.
[3] H. Hosoya. Discrete Appl. Math. 19 (1988) 239-257.
[4] H.P. Schultz. J. Chem. Inf. Comput. Sci. 29 (1989) 227-228.
[5] H.P. Schultz, J. Chem. Inf. Comput. Sci. 40 (2000) 1158-1159.
[6] H.P. Schultz, T.P. Schultz, J. Chem. Inf. Comput. Sci. 40 (2000) 107-112.
[7] S. Klavžar, I. Gutman. Disc. Appl. Math. 80 (1997) 73-81.
[8] S. Klavžar, I. Gutman, J. Chem. Inf. Comput. Sci. 36(5) (1996) 1001-1003.
[9] S. Klavžar, I. Gutman, J. Chem. Inf. Comput. Sci. 37(4) (1997) 741-744.
[10] D.J. Klein, Z. Mihalic, D. Plavsic, N. Trinajstic, J. Chem. Inf. Comput. Sci. 32 (1992) 304-305.
[11] A.A. Dobrynin, A.A. Kochetova,. Chem. Inf. Comput. Sci. 34 (1994) 1082-1086.
[12] I. Gutman, J. Chem. Inf. Comput. Sci. 34 (1994) 1087-1089.
[13] W.C. Shiu, P.C.B. Lam, Discrete Appl. Math. 73 (1997) 101-111.
[14] A.A. Dobrynin, Croat. Chem. Acta 72 (1999) 869-874.
[15] I. Tomescu, Discrete Appl. Math. 98 (1999) 159-163.
[16] A.A. Dobrynin, R. Entringer, I. Gutman, Acta Appl. Math. 66 (2001) 211-249.
[17] A.A. Dobrynin, I. Gutman, S. Klavzar, P. Zigert, Acta Appl. Math. 72 (2002) 247-294.
[18] B. Zhou, MATCH Commun. Math. Comput. Chem. 56 (2006) 189-194.
[19] H. Deng, MATCH Commun. Math. Comput. Chem. 57 (2007) 677-684.
[20] I. Tomescu, Discrete Appl. Math. 156 (2008) 125-130
[21] O. Bucicovschi, S.M. Cioaba, Discrete Appl. Math. 156 (2008) 3518-3521.
[22] S. Chen, Q. Jang, Y. Hou, MATCH Commun. Math. Comput. Chem. 59 (2008) 429-435.
[23] A. Iranmanesh, Y. Alizadeh. American Journal of Applied Sciences 5(12) (2008) 1754- 1757.
[24] M. Eliasi, B. Taeri, Appl. Anal. Discrete Math. 2 (2008) 285-296.
[25] I. Tomescu, Discrete Math. 309 (2009) 2745-2748.
[26] H. Hua, MATCH Commun. Math. Comput. Chem. 61 (2009) 643-651.
[27] Y. Alizadeh, A. Iranmanesh, S. Mirzaie, Digest. J. Nanomater. Bios. 4(1) (2009) 7-10.
[28] O. Halakoo, O. Khormali,A. Mahmiani, Digest. J. Nanomater. Bios. 4(4) (2009) 687-691.
[29] A. Iranmanesh, Y. Alizadeh, Digest. J. Nanomater. Bios. 4(1) (2009) 607-611.
[30] A. Iranmanesh, Y. Alizadeh, Digest. J. Nanomater. Bios. 4(1) (2009) 67-72.
[31] A.Ilic, S.Klavzar, D. Stevanovic. MATCH Commun. Math. Comput. Chem. 63 (2010) 411-424.
[32] A. Heydari, Digest. J. Nanomater. Bios. 5(1) (2010) 51-56.
[33] M.R. Farahani, M.P. Vlad. Studia Universitatis Babes-Bolyai Chemia 4 (2012) 55-63.
[34] M.R.Farahani., Journal of Applications of Discrete Mathematics 1(1) (2013) 1-8.
[35] M.R. Farahani, Journal of Applied Mathematics & Informatics 31(5-6) (2013).
[36] M.V. Diudea, MATCH Commun. Math. Comput. Chem. 45 (2002) 109-122.
[37] Sh. Xu, H. Zhang, J. Math. Chem. 43(2) (2008) 852-863.
[38] A.R. Ashrafi, M. Ghorbani, Digest. J. Nanomater. Bios. 4(2) (2009) 389-393.
[39] A.R. Ashrafi, H. Shabani, Digest. J. Nanomater. Bios. 4(3) (2009) 453-457.
[40] H. Shabani, A.R. Ashrafi, Digest. J. Nanomater. Bios. 4(3) (2009) 423-428.
[41] K. Xu, Digest. J. Nanomater. Bios. 6(1) (2011) 265-270.
[42] M.R. Farahani, Int. J. Computational Sciences & Applications 3(6) (2013).
[43] M.R. Farahani. Iranian Journal of Mathematical Chemistry 4(2) (2013) 235-240.
[44] S.E. Stein, R.L. Brown, J. Am. Chem. Soc. 109 (1987) 3721-372.
[45] U.E. Wiersum, L.W. Jenneskens in Gas Phase Reactions in Organic Synthesis, (Ed.: Y. Valle. e), Gordon and Breach Science Publishers, Amsterdam, The Netherlands, (1997), 143-194.
[46] M. Wagner, K.M. llen, Carbon. 36 (1998) 833- 83.
[47] A. M. Craats, J.M. Warman, K.M. llen, Y. Geerts, J. D. Brand, Adv. Mater. 10 (1998) 36-38.
[48] A. J. Berresheim, M.M. ller, K.M. llen, Chem. Rev. 99 (1999) 1747-1785.
[49] C.W. Bauschlicher, Jr, E.L.O. Bakes, Chem. Phys. 262 (2000) 285-291.
[50] F. Dietz, N. Tyutyulkov, G. Madjarova, K.M. llen, J. Phys. Chem. B 104 (2000) 1746-1761.
[51] F. Dtz, J.D. Brand, S. Ito, L. Ghergel, K.M. llen, J. Am. Chem. Soc. 2000, 122, 7707-7717.
[52] K.Yoshimura, L. Przybilla, S. Ito, J.D. Brand, M. Wehmeir, H.J. Rder, K.M. llen, Macromol, Chem. Phys. 202 (2001) 215-222.
[53] S.E. Huber, A. Mauracher, M. Probst, Chem. Eur. J. 9 (2003) 2974-2981.
[54] K. Jug, T. Bredow, J. Computational Chemistry 25 (2004) 1551-1567.
[55] M.R. Farahani, Advances in Materials and Corrosion 1 (2013) 65-69.
[56] M.R. Farahani, J. Chem. Acta 2 (2013) 70-72.
[57] A. Soncini, E. Steiner, P.W. Fowler, R.W. A. Havenith, L.W. Jenneskens. Perimeter Effects on Ring Currents in Polycyclic Aromatic Hydrocarbons: Circumcoronene and Two Hexabenzocoronenes. Manuscript.
[58] M. Goldberg, Tohoku Math. J. 43 (1937) 104-108.
[59] J. Brunvoll, B.N. Cyvin, S.J. Cyvin. J. Chem. of Comput. Sci. 27 (1987) 171-177.
[60] S. Klavžar, I. Gutman, B. Mohar. J. Chem. Int. Comput. Sci. 35 (1995) 590-593.
[61] J.R. Dias, MATCH Commun. Math. Comput. Chem. 4 (1996) 57-85.
[62] A. Dress, G. Brinkmann, MATCH Commun. Math. Comput. Chem. 33 (1996) 87-100.
[63] I. Gutman, S. Klavžar. ACH Mo dels Chem. 133 (1996) 389-399.
[64] E. Estrada, L. Torres, L. Rodriguez and I. Gutman. Indian J. Chem. 37, (1998), 849.
[65] V. Chepoi, S. Klavžar. Discrete Mathematics 192 (1998) 27-39.
[66] I. Gutman, S. Klavžar, M. Petkovsek, P. Zigert, MATCH Commun. Math. Comput. Chem. 43 (2001) 49-66.
[67] K. Salem, S. Klavžar, I. Gutman, Discrete Mathematics 13(8) (2003) 306.
[68] M.V. Diudea, J. Chem. Inf. Model 45 (2005) 1002-1009.
[69] M.V. Diudea, M. Ştefu, P.E. John, A. Graovac, Croat. Chem. Acta 79 (2006) 355-362.
[70] S. Klavžar, MATCH Commun. Math. Comput. Chem. 60 (2008) 255-274.
[71] M.R. Farahani, Adv. Mater. Corrosion. 2 (2013) 16-19.
[72] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 11(1) (2014) 74-80.
[73] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 12 (2014) 56-62.
[74] Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 12 (2014) 63-68.

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Bibliografia

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