TY - JOUR
ID - 111345
TI - Sombor index of certain graphs
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Ghanbari, Nima
AU - Alikhani, Saeid
AD - Department of Informatics, University of Bergen, P.O. Box 7803, 5020 Bergen, Norway
AD - Department of Mathematics, Yazd University, 89195-741, Yazd, Iran
Y1 - 2021
PY - 2021
VL - 12
IS - 1
SP - 27
EP - 37
KW - Sombor index
KW - Graph
KW - corona
DO - 10.22052/ijmc.2021.242106.1547
N2 - Let $G=(V,E)$ be a finite simple graph. The Sombor index $SO(G)$ of $G$ is defined as $\sum_{uv\in E(G)}\sqrt{d_u^2+d_v^2}$, where $d_u$ is the degree of vertex $u$ in $G$. In this paper, we study this index for certain graphs and we examine the effects on $SO(G)$ when $G$ is modified by operations on vertex and edge of $G$. Also we present bounds for the Sombor index of join and corona product of two graphs.
UR - https://ijmc.kashanu.ac.ir/article_111345.html
L1 - https://ijmc.kashanu.ac.ir/article_111345_ed933628a644aa468302d40b4b473edd.pdf
ER -