Title of article
Weighted Szeged Index of Generalized Hierarchical Product of Graphs
Author/Authors
Nagarajan ، S. - Kongu Arts and Science College , Pattabiraman ، K. - Annamalai University , Chandrasekharan ، M. - Erode Arts and Science College
Pages
11
From page
85
To page
95
Abstract
The Szeged index of a graph G, denoted by S z(G) = ∑ uv=e∈E(G) nu (e)n G v (e). Similarly, the Weighted Szeged index of a graph G, denoted by S zw(G) = ∑ uv=e∈E(G) ( dG(u)+ dG(v) ) nu (e)n G v (e), where dG(u) is the degree of the vertex u in G. In this paper, the exact formulae for the weighted Szeged indices of generalized hierarchical product and Cartesian product of two graphs are obtained
Keywords
Generalized hierarchical product , Cartesian product , Szeged index , weighted Szeged index
Journal title
General Mathematics Notes
Serial Year
2014
Journal title
General Mathematics Notes
Record number
2457642
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