Matching Energy of Graphs with Maximum Degree at Most 3

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-01-01 DOI:10.46793/match.89-3.687g

S. K. Ghezelahmad

引用次数: 0

Abstract

The matching energy of a graph G, denoted by ME(G), is def ined as the sum of absolute values of the zeros of the matching polynomial of G. In this paper, we prove that if G is a connected graph of order n with maximum degree at most 3, then ME(G) > n with only six exceptions. In particular, we show that there are only two connected graphs with maximum degree at most three, whose matching energies are equal to the number of vertices.

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最大次不超过3的图的匹配能量

图G的匹配能量用ME(G)表示，定义为G的匹配多项式0的绝对值之和。本文证明了如果G是最大次不超过3的n阶连通图，则ME(G) > n，只有6个例外。特别地，我们证明了只有两个最大度不超过3的连通图，它们的匹配能量等于顶点数。

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

Match-Communications in Mathematical and in Computer Chemistry 化学-化学综合

CiteScore

4.40

自引率

26.90%

发文量

审稿时长

2 months

期刊介绍： MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.