Article thumbnail

A general modeling of some vertex-degree based topological indices in benzenoid systems and phenylenes

By Hanyuan Deng, Jianguang Yang and Fangli Xia

Abstract

AbstractA graph invariant I(G) of a connected graph G=(V,E) contributed by the weights of all edges is defined as I(G)=∑cijxij with the summation over all edges, cij is the weight of edges connecting vertices of degree i and j, xij is the number of edges of G connecting vertices of degree i and j. It generalizes Randić index, Zagreb index, sum-connectivity index, GA1 index, ABC index etc. In this paper, we first give the expressions for computing this invariant I(G) of benzenoid systems and phenylenes, and a relation between this invariant of a phenylene and its corresponding hexagonal squeeze, and then determine the extremal values of I(G) and extremal graphs in catacondensed benzenoid systems and phenylenes, and a unified approach to the extremal values and extremal graphs of Randić index, the general Randić index, Zagreb index, sum-connectivity index, the general sum-connectivity index, GA1 index and ABC index in benzenoid systems and phenylenes

Publisher: Elsevier Ltd.
Year: 2011
DOI identifier: 10.1016/j.camwa.2011.03.089
OAI identifier:

Suggested articles


To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.