@article {
author = {Liu, Hechao},
title = {Extremal Cacti with respect to Sombor index},
journal = {Iranian Journal of Mathematical Chemistry},
volume = {12},
number = {4},
pages = {197-208},
year = {2021},
publisher = {University of Kashan},
issn = {2228-6489},
eissn = {2008-9015},
doi = {10.22052/ijmc.2021.243026.1582},
abstract = {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.},
keywords = {Sombor index,Cactus,Extremal value},
url = {https://ijmc.kashanu.ac.ir/article_111632.html},
eprint = {https://ijmc.kashanu.ac.ir/article_111632_de6f31ed2e636e86763d50333fb73e29.pdf}
}