The product connectivity Banhatti index of a graph

Autor:	V. R. Kulli, H. S. Boregowda, B. Chaluvaraju
Rok vydání:	2019
Předmět:	Index (economics) 05c012 Applied Mathematics randić index banhatti indices Combinatorics product connectivity banhatti index Product (mathematics) 05c05 QA1-939 Discrete Mathematics and Combinatorics Graph (abstract data type) 05c35 zagreb indices Mathematics
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
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::23d04c274ac2a5a055a414233aa10789 https://doi.org/10.7151/dmgt.2098 Zobrazit plný text záznamu