论文标题

关于图的某些拓扑指数

On certain topological indices of graphs

论文作者

Avdullahu, Arber, Filipovski, Slobodan

论文摘要

在本文中,我们为几个基于顶点和边缘的图形拓扑索引提供了新的界限:Albertson不规则指数,学位方差指数,Mostar和第一个Zagreb索引。此外,我们通过IRB索引给图形的能量提供了新的上限。我们的大多数结果都取决于拉普拉斯光谱半径的众所周知的表征。

In this paper we give new bounds for a several vertex-based and edge-based topological indices of graphs: Albertson irregularity index, degree variance index, Mostar and the first Zagreb index. Moreover, we give a new upper bound for the energy of graphs through IRB-index. Most of our results rely on a well-known characterization of the Laplacian spectral radius.

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