Chebyshev's Sum Inequality and the Zagreb Indices Inequality
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Published:2023
Issue:1
Volume:90
Page:187-195
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ISSN:0340-6253
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Container-title:Match Communications in Mathematical and in Computer Chemistry
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language:
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Short-container-title:match
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.
Publisher
University Library in Kragujevac
Subject
Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications,General Chemistry