论文标题
Chebyshev的总和不等式和Zagreb指数不等式
Chebyshev's Sum Inequality and the Zagreb Indices Inequality
论文作者
论文摘要
在最近的一篇文章中，Nadeem和Siddique使用Chebyshev的总和不等式来确定Zagreb索引不等式$ M_1/N \ LE M_2/M $用于在度量序列$ $（D_I）$的情况下，而学位$（d_i）$ and geger-sum semum sequence $（s_i）的订单类似。 我们表明，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，这些结果也涵盖了针对有向图的类似不等式，以及Sum-Angry-Memmortric矩阵和Eulerian的有向图。
In a recent article, Nadeem and Siddique used Chebyshev's sum inequality to establish the Zagreb indices inequality $M_1/n\le M_2/m$ for undirected graphs in the case where the degree sequence $(d_i)$ and the degree-sum sequence $(S_i)$ 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.
