@article {
author = {Ali, Akbar and Javaid, Mubeen and MatejiÄ‡, Marjan and MilovanoviÄ‡, Igor and MilovanoviÄ‡, Emina},
title = {Some new bounds on the general sum--connectivity index},
journal = {Communications in Combinatorics and Optimization},
volume = {5},
number = {2},
pages = {97-109},
year = {2020},
publisher = {Azarbaijan Shahid Madani University},
issn = {2538-2128},
eissn = {2538-2136},
doi = {10.22049/cco.2019.26618.1125},
abstract = {Let $G=(V,E)$ be a simple connected graph with $n$ vertices, $m$ edges and sequence of vertex degrees $d_1 \ge d_2 \ge \cdots \ge d_n>0$, $d_i=d(v_i)$, where $v_i\in V$. With $i\sim j$ we denote adjacency of vertices $v_i$ and $v_j$. The general sum--connectivity index of graph is defined as $\chi_{\alpha}(G)=\sum_{i\sim j}(d_i+d_j)^{\alpha}$, where $\alpha$ is an arbitrary real number. In this paper we determine relations between $\chi_{\alpha+\beta}(G)$ and $\chi_{\alpha+\beta-1}(G)$, where $\alpha$ and $\beta$ are arbitrary real numbers, and obtain new bounds for $\chi_{\alpha}(G)$. Also, by the appropriate choice of parameters $\alpha$ and $\beta$, we obtain a number of old/new inequalities for different vertex--degree--based topological indices.},
keywords = {Topological indices,vertex degree,sum-connectivity index},
url = {http://comb-opt.azaruniv.ac.ir/article_13987.html},
eprint = {http://comb-opt.azaruniv.ac.ir/article_13987_cdec3088e115acb1295b55b1ba267a6e.pdf}
}