Carpathian Mathematical Publications | 2019

Inverse sum indeg coindex of graphs

 

Abstract


The inverse sum indeg coindex $\\overline{ISI}(G)$ of a simple connected graph $G$ is defined as the sum of the terms $\\frac{d_G(u)d_G(v)}{d_G(u)+d_G(v)}$ over all edges $uv$ not in $G,$ where $d_G(u)$ denotes the degree of a vertex $u$ of $G.$ In this paper, we present the upper bounds on inverse sum indeg coindex of edge corona product graph and Mycielskian graph. In addition, we obtain the exact value of both inverse sum indeg index and its coindex of a double graph.

Volume 11
Pages 399-406
DOI 10.15330/cmp.11.2.399-406
Language English
Journal Carpathian Mathematical Publications

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