The product connectivity Banhatti index of a graph
Autor: | V. R. Kulli, H. S. Boregowda, B. Chaluvaraju |
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Rok vydání: | 2019 |
Předmět: | |
Zdroj: | Discussiones Mathematicae Graph Theory, Vol 39, Iss 2, Pp 505-517 (2019) |
ISSN: | 2083-5892 1234-3099 |
Popis: | Let G = (V, E) be a connected graph with vertex set V (G) and edge set E(G). The product connectivity Banhatti index of a graph G is defined as, PB(G)=∑ue1dG(u)dG(e)$PB(G) = \sum\nolimits_{ue} {{1 \over {\sqrt {{d_G}(u){d_G}(e)} }}}$ where ue means that the vertex u and edge e are incident in G. In this paper, we determine P B(G) of some standard classes of graphs. We also provide some relationship between P B(G) in terms of order, size, minimum / maximum degrees and minimal non-pendant vertex degree. In addition, we obtain some bounds on P B(G) in terms of Randić, Zagreb and other degree based topological indices of G. |
Databáze: | OpenAIRE |
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