The General Sum-Connectivity Indices of Benzenoid Systems and Phenylenes

Autor:	Hanyuan Deng, Feiying Ma
Rok vydání:	2011
Předmět:	Combinatorics Computational Mathematics Hexagonal crystal system Phenylene Topological index General Materials Science General Chemistry Electrical and Electronic Engineering Condensed Matter Physics Graph Real number Mathematics
Zdroj:	Journal of Computational and Theoretical Nanoscience. 8:1878-1881
ISSN:	1546-1963 1546-1955
DOI:	10.1166/jctn.2011.1896
Popis:	The general connectivity index Rα(G) of a graph G = (V,E) is defined as ∑ uv∈E(d(u)d(v)) α, where d(v) denotes the degree of a vertex v and α = 0 is a real number. In this paper, we give the expressions for computing the general connectivity indices of benzenoid systems and phenylenes, and a relation between the general connectivity indices of a phenylene and its corresponding hexagonal squeeze, and the extremal values of Rα(G) in benzenoid systems with h hexagons for some real numbers α.
Databáze:	OpenAIRE
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