%0 Journal Article
%T Extremal Cacti with respect to Sombor index
%J Iranian Journal of Mathematical Chemistry
%I University of Kashan
%Z 2228-6489
%A Liu, Hechao
%D 2021
%\ 12/01/2021
%V 12
%N 4
%P 197-208
%! Extremal Cacti with respect to Sombor index
%K Sombor index
%K Cactus
%K Extremal value
%R 10.22052/ijmc.2021.243026.1582
%X Recently, a novel topological index, Sombor index, was introduced by Gutman, defined as $SO(G)=\sum\limits_{uv\in E(G)}\sqrt{d_{u}^{2}+d_{v}^{2}}$, where $d_{u}$ denotes the degree of vertex $u$. In this paper, we first determine the maximum Sombor index among cacti with $n$ vertices and $t$ cycles, then determine the maximum Sombor index among cacti with perfect matchings. We also characterize corresponding maximum cacti.
%U https://ijmc.kashanu.ac.ir/article_111632_de6f31ed2e636e86763d50333fb73e29.pdf