Keywords:-

Keywords: Topological indices, Schultz polynomial, Hosoyapolynomial, molecular graph.

Article Content:-

Abstract

Let G be a molecular graph. The Schultz and modified Schultz polynomials are defined as Sc(G, x)= ½ x d ( u , v ) and Sc*( G,x ) = ½ x d ( u , v ) Where du (ordv)denote the degree of the vertex u (orv), respectively. In this paper ,Schultz, Modified Schultz, Hosoya polynomials and their indices for 2,3-dimethyl hexane an isomer of octane are presented.

References:-

References

Ivan Gutman, Degree-based topological indices, Croat.Chem.Acta 86(4) (2013) 351-361.

NarsingDeo,GraphTheory, Prentice-Hall of India,New Delhi (2007) p.3.

K.S. Ahire ,R.B.Sawant, Wiener index and Wiener polynomial in isomers of organic compounds ,Bulletin of

the Marathawada Mathematical Society ,Vol.14,no.2,Dec-2013,pp.1-4.

TeroHarju,Graph theory,Dept.ofMaths,University of Turku,FIN-20014 Turkos Finland,2011,pp.06-07.

H.P. Schultz,Topological organic chemistry,1,Graph theory and topological indices of

alkanes,J.chem.Inf.Comput.Sci.299(1989).

S.Klavzar,I.Gutman,Wiener number of vertex-weighted graphs and a chemical application,Discrete

Appl.Math.80(1997)73-81.

F.Hassani et al, Schultz and Modified Schultz polynomials of C100

Fullerene,MATCH,Commun,Math.Comput.Chem.69(2013)87-92.M.R.Farahani, Schultz and Modified Schultz polynomials of coronene , Polycyclic aromatic

hydrocarbons,International letters of chemistry ,physics and astronomy ,13(1) (2014 )I-10,

M.R.Farahani,Hosoya ,Schultz,Modified Schultz polynomials and their indices of benzene molecules ,

Int.J.of theoretical chemistry, vol.1,No.2,oct.2013,pp.09-16.

H.Hosoya,Discreteappli. Math. 19(1988) 239-257.

A.R.Ashrafi et al , Digest Journal of Nanomaterials and Biostructrures,vol.4,No.2,June-2009,pp.389-393.

H.Hosoya , Bull.Chem.Soc.Jpn.44,(1971),2332-2339.

B.Y.Yang,Y.N.Yeh,Proc.of Second International TaiwanMoscow Algebra workshop , Tainan, (1997) 203-

B.D.Acharya et al,proc.of the National workshop 1-3 Feb.2010,pub.no.39,pp.9-10.

Q.N.NanHu et al , The matrix expression, topological index and atomic attribute of molecular topological

structure , Journal of Data Science 1(2003) 361-389.

.

Downloads

Citation Tools

How to Cite
Raut, N. (2014). Schultz, Modified Schultz and Hosoya polynomials and their indices in 2, 3- dimethyl hexane an isomer of octane. International Journal Of Mathematics And Computer Research, 2(08), 587-592. Retrieved from https://ijmcr.in/index.php/ijmcr/article/view/164