图的一些基于度的拓扑指标和归一化拉普拉斯能量

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2022-09-20 DOI:10.47443/dml.2022.059

Zimo Yan, Xie Zheng, Jianping Li

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引用次数: 0

摘要

本文利用顶点能量的概念，建立了一些基于顶点度的拓扑指标(包括一般的Randi´c指标、第一萨格勒布指标和遗忘指标)与图的能量之间的联系。利用第一个萨格勒布指数和遗忘指数，给出了无孤立顶点图的几个能量界。此外，还得到了广义Randi´c指标的两种特殊情况下归一化拉普拉斯能量的界。

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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Some Degree-Based Topological Indices and (Normalized Laplacian) Energy of Graphs

In this paper, by utilizing the concept of the energy of a vertex, connections between some vertex-degree-based topological indices (including the general Randi´c index, the ﬁrst Zagreb index, and the forgotten index) and the energy of graphs are established. Several bounds on the energy of the graphs containing no isolated vertices are also given in terms of the ﬁrst Zagreb index and the forgotten index. Moreover, bounds on the normalized Laplacian energy in terms of two particular cases of the general Randi´c index are obtained.

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来源期刊

Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

12 weeks