论文标题

关于签名图的某些拓扑指数

On Certain Topological Indices of Signed Graphs

论文作者

Naduvath, Sudev, Kok, Johan

论文摘要

图$ G $的第一个Zagreb索引是图中顶点度的正方形和$ G $的第二个Zagreb索引是$ G $中相邻顶点的产品的总和。 $ g $中边缘的不平衡是其最终顶点学位的数值差异,$ g $的不规则性是其所有边缘的不平衡。在本文中,我们将这些拓扑指数的概念扩展到签名图中,并在签名图上讨论相应的结果。

The first Zagreb index of a graph $G$ is the sum of squares of the vertex degrees in a graph and the second Zagreb index of $G$ is the sum of products of degrees of adjacent vertices in $G$. The imbalance of an edge in $G$ is the numerical difference of degrees of its end vertices and the irregularity of $G$ is the sum of imbalances of all its edges. In this paper, we extend the concepts of these topological indices for signed graphs and discuss the corresponding results on signed graphs.

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