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首页> 外文期刊>Hormone molecular biology and clinical investigation. >The Product Connectivity Banhatti Index of A Graph
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The Product Connectivity Banhatti Index of A Graph

机译：产品图的连通性Banhatti指数

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摘要

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) $PB(G) = sumnolimits_{ue} {{1 over {sqrt {{d_G}(u){d_G}(e)} }}}$ 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 Randi?, Zagreb and other degree based topological indices of G.
机译：让G = (V, E)与顶点连通图集V (G)和边集E (G)。连通性Banhatti指数图G的定义为,PB (G) =∑ue1dG (u) dG $ PB (G) = (e)sumnolimits_{问题}{{1 /{√6{{d_G} (u) {d_G} (e)}}}},问题意味着美元顶点u和边e g .在这个事件篇文章中,我们确定P B (G)的一些标准类图。B P之间的关系(G)的订单,大小,最小/最大度和最小non-pendant顶点度。有些界限P B (G)的兰迪?和其他基于拓扑指数G的程度。

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