Relationships between Randic index and other topological indices

Document Type : Original paper

Authors

1 School of Mathematics and Statistics, Zhaoqing University, Zhaoqing 526061, China

2 Department of Mathematics, Azarbaijan Shahid Madani University Tabriz, Iran

3 Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

Abstract

Let $G$ be a graph with vertex set $V(G)$ and edge set $E(G)$, and let $d_u$ denote the degree of vertex $u$ in $G$. The Randi'c index of $G$ is defined as
${R}(G) =sum_{uvin E(G)} 1/sqrt{d_ud_v}.$
In this paper, we investigate the relationships between Randi'c
index and several topological indices.

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Main Subjects