单环图的极限Sombor谱半径

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-04-01 DOI:10.46793/match.90-2.513m

Yinzhen Mei, Huifeng Fu, Hongli Miao, Yubin Gao

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引用次数: 0

摘要

设G为图，G的Sombor矩阵S (G)最近由Wang等人引入。它是一个基于Sombor索引的新矩阵，其中(i, j)项S ij = (cid:113) d2 i + d2 j，如果顶点i和顶点j在G中相邻，则S ij = 0。李学良、王俊明等解决了Ghorbani等关于单环图ABC谱半径上界和下界的猜想。受此启发，我们研究了单环图Sombor矩阵上的谱半径。本文利用分类讨论的方法和Cauchy-Schwartz不等式确定了单环图的外Sombor谱半径，并给出了该不等式成立的条件。

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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Extreme Sombor Spectral Radius of Unicyclic Graphs

Let G be a graph, the Sombor matrix S ( G ) of G was recently introduced by Wang et al. It is a new matrix based on Sombor index, where the ( i, j ) entry S ij = (cid:113) d 2 i + d 2 j if vertices i and vertices j are adjacent in G , and S ij = 0 for other cases. Xueliang Li and Junming Wang solved the conjecture for the upper and lower bounds of the ABC spectral radius for unicyclic graphs by Ghorbani et all. Inspired by this, we investigate the spectral radius on Sombor matrix of unicyclic graphs. In the paper, we use the method of classified discussion and Cauchy-Schwartz inequality to determine the external Sombor spectral radius of unicyclic graphs and provide the conditions for the equality.

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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.