Azarbaijan Shahid Madani UniversityCommunications in Combinatorics and Optimization2538-21286120210601Relationships between Randic index and other topological indices1371541404310.22049/cco.2020.26751.1138ENZ.DuSchool of Mathematics and Statistics, Zhaoqing University,
Zhaoqing 526061, ChinaA.JahanbaiDepartment of Mathematics, Azarbaijan Shahid Madani University
Tabriz, Iranhttps://orcid.org/0000-0002-2800-4420S. M.SheikholeslamiDepartment of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran0000-0003-2298-4744Journal Article20200125Let $G$ 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.http://comb-opt.azaruniv.ac.ir/article_14043_257a4af824556adf3c58d50b8b6e1ace.pdf