图运算的修改的第二次乘法萨格勒布指数的上界

Bulletin of Mathematical Sciences and Applications Pub Date : 2016-11-01 DOI:10.18052/WWW.SCIPRESS.COM/BMSA.17.10

B. Basavanagoud, Shreekant Patil

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引用次数: 0

摘要

连通图G的修改的第二乘法萨格勒布指数，用∏‍2 (G)表示，被定义为∏‍∗2 (G) =∏‍uv∈E(G) [dG(u)+dG(v)] [dG(u)+dG(v)]，其中dG(z)是G中顶点z的度。本文给出了图的并、连接、笛卡尔积、复合、电晕积等运算的修正二次乘法萨格勒布指数的上界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Upper Bounds for the Modified Second Multiplicative Zagreb Index of Graph Operations

The modified second multiplicative Zagreb index of a connected graph G, denoted by ∏ ‍ 2 (G), is defined as ∏ ‍ ∗ 2 (G) = ∏ ‍ uv∈E(G) [dG(u) + dG(v)] [dG(u)+dG(v)] where dG(z) is the degree of a vertex z in G . In this paper, we present some upper bounds for the modified second multiplicative Zagreb index of graph operations such as union, join, Cartesian product, composition and corona product of graphs are derived.

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Bulletin of Mathematical Sciences and Applications

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