Construction of Equienergetic Trees

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-10-01 DOI:10.46793/match.91-2.485t

Liang Wen Tang, Juan Liu, Shuangwei Qin

引用次数: 0

Abstract

The energy E(G) of a graph G is the sum of the absolute values of all eigenvalues of G. Two graphs of the same order are said to be equienergetic if their energies are equal. As pointed out by Gutman, it is not known how to systematically construct any pair of equienergetic, non-cospectral trees until now. Inspired by the research of integral trees, we proposed a construction of infinite pairs of equienergetic trees of diameter 4.

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等能树的构造

一个图G的能量E(G)是G的所有特征值的绝对值的和，两个相同阶的图如果它们的能量相等，就被称为等能图。正如Gutman所指出的，到目前为止，人们还不知道如何系统地构造任何一对等能非共谱树。受积分树研究的启发，我们提出了无限对直径为4的等能树的构造。

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.