论文标题

在Randic索引的集团版本上

On Clique Version of the Randic Index

论文作者

Faal, Hossein Teimoori

论文摘要

在本文中,我们首先根据给定图形$ g $的加权顶点 - 边缘发射矩阵的想法,首先回顾握手引理的加权反应。然后,我们根据集团价值的概念获得了握手引理的广义版本。我们还定义了Randic索引的广义版本。更重要的是,我们证明了图$ g $的广义兰德索引的上限。我们终于对可能的未来作品进行了一些分歧,以此结束。

In this paper, we first review the weighted-versiion of the handshaking lemma based on the idea of a weighted vertex-edge incidence matrix of a given graph $G$. Then, we obtain a generalized version of the handshaking lemma based on the concept of the clique value. We also define a generalized version of Randic index. More importantly, we prove an upper bound for the generalized Randic index of a graph $G$. We finally concluse the paper with some disscussions about possible future works.

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