Modified Eccentric Connectivity Polynomial of Circumcoronene Series of Benzenoid Hk

Authors

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

DOI:

https://doi.org/10.24297/jap.v2i1.2102

Keywords:

Molecular graph, Circumcoronene Series of benzenoid, Modified Eccentricity Connectivity polynomial.

Abstract

Let G=(V,E) be a molecular graph, where V(G) is a non-empty set of vertices/atoms and E(G) is a set of edges/bonds. For vV(G), defined dv be degree of vertex/atom v and S(v)is the sum of the degrees of its neighborhoods. The modified eccentricity connectivity polynomial of a molecular graph G is defined as  where ε(v) is defined as the length of a maximal path connecting v to another vertex of molecular graph G. In this paper we compute this polynomial for a famous molecular graph of Benzenoid family.

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Published

2013-09-04

How to Cite

Farahani, M. R. (2013). Modified Eccentric Connectivity Polynomial of Circumcoronene Series of Benzenoid Hk. JOURNAL OF ADVANCES IN PHYSICS, 2(1), 48–52. https://doi.org/10.24297/jap.v2i1.2102

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