Chebyshev's Sum Inequality and the Zagreb Indices Inequality

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2022-12-29 DOI:10.46793/match.90-1.187t

Hanjo Taubig

引用次数: 0

Abstract

In a recent article, Nadeem and Siddique used Chebyshev’s sum inequality to establish the Zagreb indices inequality M1/n ≤ M2/m for undirected graphs in the case where the degree sequence (di) and the degree-sum sequence (Si) are similarly ordered. We show that this is actually not a completely new result and we discuss several related results that also cover similar inequalities for directed graphs, as well as sum-symmetric matrices and Eulerian directed graphs.

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Chebyshev和不等式与Zagreb指数不等式

在最近的一篇文章中，Nadeem和Siddique利用Chebyshev的和不等式，建立了无向图的Zagreb指数不等式M1/n≤M2/m，其中度序列(di)和度和序列(Si)的顺序相似。我们证明这实际上不是一个全新的结果，我们讨论了几个相关的结果，这些结果也涵盖了有向图的类似不等式，以及和对称矩阵和欧拉有向图。

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.