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
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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。
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来源期刊
CiteScore
4.40
自引率
26.90%
发文量
71
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.
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