Upper and Lower Bounds for the First and Second Zagreb Indices of Quasi Bicyclic Graphs

IF 1 Q4 CHEMISTRY, MULTIDISCIPLINARY
Majid Aghel, A. Erfanian, T. Dehghan-Zadeh
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引用次数: 0

Abstract

The aim of this paper is to give an upper and lower bounds for the first and second Zagreb indices of quasi bicyclic graphs. For a simple graph G, we denote M1(G) and M2(G), as the sum of deg2(u) overall vertices u in G and the sum of deg(u)deg(v) of all edges uv of G, respectively. The graph G is called quasi bicyclic graph if there exists a vertex x ∈ V (G) such that G−x is a connected bicyclic graph. The results mentioned in this paper, are mostly new or an improvement of results given by authors for quasi unicyclic graphs in [1].
拟双环图的第一和第二Zagreb指标的上界和下界
本文的目的是给出拟双环图的第一和第二萨格勒布指数的上界和下界。对于一个简单的图G,我们将M1(G)和M2(G)分别表示为G中所有顶点u的deg2(u)和G中所有边uv的deg(u) dev的和。如果存在顶点x∈V (G),使得G−x是连通双环图,则称图G为拟双环图。本文所提到的结果,大多是作者在[1]中关于拟单环图的新结果或改进的结果。
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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来源期刊
Iranian journal of mathematical chemistry
Iranian journal of mathematical chemistry CHEMISTRY, MULTIDISCIPLINARY-
CiteScore
2.10
自引率
7.70%
发文量
0
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