Paper Titles in Periodical
International Letters of Chemistry, Physics and Astronomy
Volume 32

Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

ILCPA > Volume 32 > Schultz and Modified Schultz Polynomials of...
< Back to Volume

Schultz and Modified Schultz Polynomials of Coronene Polycyclic Aromatic Hydrocarbons

Full Text PDF

Abstract:

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

Info:

Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 32)
Pages:
1-10
Citation:
M. R. Farahani, "Schultz and Modified Schultz Polynomials of Coronene Polycyclic Aromatic Hydrocarbons", International Letters of Chemistry, Physics and Astronomy, Vol. 32, pp. 1-10, 2014
Online since:
April 2014
Export:
Distribution:
References:

H. Wiener, J. Amer. Chem. Soc. 69 (1947) 17-20.

P.V. Khadikar, S. Karmarkar, Acta Chim. Slov. 49 (2002) 755-771.

H. Hosoya. Discrete Appl. Math. 19 (1988) 239-257.

H.P. Schultz. J. Chem. Inf. Comput. Sci. 29 (1989) 227-228.

H.P. Schultz, J. Chem. Inf. Comput. Sci. 40 (2000) 1158-1159.

H.P. Schultz, T.P. Schultz, J. Chem. Inf. Comput. Sci. 40 (2000) 107-112.

S. Klavžar, I. Gutman. Disc. Appl. Math. 80 (1997) 73-81.

S. Klavžar, I. Gutman, J. Chem. Inf. Comput. Sci. 36(5) (1996) 1001-1003.

S. Klavžar, I. Gutman, J. Chem. Inf. Comput. Sci. 37(4) (1997) 741-744.

D.J. Klein, Z. Mihalic, D. Plavsic, N. Trinajstic, J. Chem. Inf. Comput. Sci. 32 (1992) 304-305.

A.A. Dobrynin, A.A. Kochetova,. Chem. Inf. Comput. Sci. 34 (1994) 1082-1086.

I. Gutman, J. Chem. Inf. Comput. Sci. 34 (1994) 1087-1089.

W.C. Shiu, P.C.B. Lam, Discrete Appl. Math. 73 (1997) 101-111.

A.A. Dobrynin, Croat. Chem. Acta 72 (1999) 869-874.

I. Tomescu, Discrete Appl. Math. 98 (1999) 159-163.

A.A. Dobrynin, R. Entringer, I. Gutman, Acta Appl. Math. 66 (2001) 211-249.

A.A. Dobrynin, I. Gutman, S. Klavzar, P. Zigert, Acta Appl. Math. 72 (2002) 247-294.

B. Zhou, MATCH Commun. Math. Comput. Chem. 56 (2006) 189-194.

H. Deng, MATCH Commun. Math. Comput. Chem. 57 (2007) 677-684.

I. Tomescu, Discrete Appl. Math. 156 (2008) 125-130.

O. Bucicovschi, S.M. Cioaba, Discrete Appl. Math. 156 (2008) 3518-3521.

S. Chen, Q. Jang, Y. Hou, MATCH Commun. Math. Comput. Chem. 59 (2008) 429-435.

A. Iranmanesh, Y. Alizadeh. American Journal of Applied Sciences 5(12) (2008) 17541757.

M. Eliasi, B. Taeri, Appl. Anal. Discrete Math. 2 (2008) 285-296.

I. Tomescu, Discrete Math. 309 (2009) 2745-2748.

H. Hua, MATCH Commun. Math. Comput. Chem. 61 (2009) 643-651.

Y. Alizadeh, A. Iranmanesh, S. Mirzaie, Digest. J. Nanomater. Bios. 4(1) (2009) 7-10.

O. Halakoo, O. Khormali,A. Mahmiani, Digest. J. Nanomater. Bios. 4(4) (2009) 687691.

A. Iranmanesh, Y. Alizadeh, Digest. J. Nanomater. Bios. 4(1) (2009) 607-611.

A. Iranmanesh, Y. Alizadeh, Digest. J. Nanomater. Bios. 4(1) (2009) 67-72.

A. Ilic, S. Klavzar, D. Stevanovic. MATCH Commun. Math. Comput. Chem. 63 (2010) 411-424.

A. Heydari, Digest. J. Nanomater. Bios. 5(1) (2010) 51-56.

M.R. Farahani, M.P. Vlad. Studia Universitatis Babes-Bolyai Chemia 4 (2012) 55-63.

M.R. Farahani., Journal of Applications of Discrete Mathematics 1(1) (2013) 1-8.

M.R. Farahani, Journal of Applied Mathematics & Informatics 31(5-6) (2013).

M.V. Diudea, MATCH Commun. Math. Comput. Chem. 45 (2002) 109-122.

Sh. Xu, H. Zhang, J. Math. Chem. 43(2) (2008) 852-863.

A.R. Ashrafi, M. Ghorbani, Digest. J. Nanomater. Bios. 4(2) (2009) 389-393.

A.R. Ashrafi, H. Shabani, Digest. J. Nanomater. Bios. 4(3) (2009) 453-457.

H. Shabani, A.R. Ashrafi, Digest. J. Nanomater. Bios. 4(3) (2009) 423-428.

K. Xu, Digest. J. Nanomater. Bios. 6(1) (2011) 265-270.

M.R. Farahani, Int. J. Computational Sciences & Applications 3(6) (2013).

M.R. Farahani. Iranian Journal of Mathematical Chemistry 4(2) (2013) 235-240.

S.E. Stein, R.L. Brown, J. Am. Chem. Soc. 109 (1987) 3721-372.

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.

M. Wagner, K.M. llen, Carbon. 36 (1998) 833- 83.

A. M. Craats, J.M. Warman, K.M. llen, Y. Geerts, J. D. Brand, Adv. Mater. 10 (1998) 36-38.

A. J. Berresheim, M.M. ller, K.M. llen, Chem. Rev. 99 (1999) 1747-1785.

C.W. Bauschlicher, Jr, E.L.O. Bakes, Chem. Phys. 262 (2000) 285-291.

F. Dietz, N. Tyutyulkov, G. Madjarova, K.M. llen, J. Phys. Chem. B 104 (2000) 1746-1761.

F. Dtz, J.D. Brand, S. Ito, L. Ghergel, K.M. llen, J. Am. Chem. Soc. 2000, 122, 7707-7717.

K. Yoshimura, L. Przybilla, S. Ito, J.D. Brand, M. Wehmeir, H.J. Rder, K.M. llen, Macromol, Chem. Phys. 202 (2001) 215-222.

S.E. Huber, A. Mauracher, M. Probst, Chem. Eur. J. 9 (2003) 2974-2981.

K. Jug, T. Bredow, J. Computational Chemistry 25 (2004) 1551-1567.

M.R. Farahani, Advances in Materials and Corrosion 1 (2013) 65-69.

M.R. Farahani, J. Chem. Acta 2 (2013) 70-72.

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.

M. Goldberg, Tohoku Math. J. 43 (1937) 104-108.

J. Brunvoll, B.N. Cyvin, S.J. Cyvin. J. Chem. of Comput. Sci. 27 (1987) 171-177.

S. Klavžar, I. Gutman, B. Mohar. J. Chem. Int. Comput. Sci. 35 (1995) 590-593.

J.R. Dias, MATCH Commun. Math. Comput. Chem. 4 (1996) 57-85.

A. Dress, G. Brinkmann, MATCH Commun. Math. Comput. Chem. 33 (1996) 87-100.

I. Gutman, S. Klavžar. ACH Mo dels Chem. 133 (1996) 389-399.

E. Estrada, L. Torres, L. Rodriguez and I. Gutman. Indian J. Chem. 37, (1998), 849.

V. Chepoi, S. Klavžar. Discrete Mathematics 192 (1998) 27-39.

I. Gutman, S. Klavžar, M. Petkovsek, P. Zigert, MATCH Commun. Math. Comput. Chem. 43 (2001) 49-66.

K. Salem, S. Klavžar, I. Gutman, Discrete Mathematics 13(8) (2003) 306.

M.V. Diudea, J. Chem. Inf. Model 45 (2005) 1002-1009.

M.V. Diudea, M. Ştefu, P.E. John, A. Graovac, Croat. Chem. Acta 79 (2006) 355-362.

S. Klavžar, MATCH Commun. Math. Comput. Chem. 60 (2008) 255-274.

M.R. Farahani, Adv. Mater. Corrosion. 2 (2013) 16-19.

Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 11(1) (2014) 74-80.

Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 12 (2014) 56-62.

Mohammad Reza Farahani, International Letters of Chemistry, Physics and Astronomy 12 (2014) 63-68. ( Received 25 March 2014; accepted 31 March 2014 ).

Show More Hide
Cited By:
This article has no citations.