TY - JOUR
ID - 5957
TI - Sombor index of some graph operations
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN - 2008-6822
AU - Arif, Nabeel E.
AU - Karim, Akar H.
AU - Hasni, Roslan
AD - Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq
AD - Mathematics Department, College of Science, University of Sulaimani, Kurdistan Region of Iraq, Iraq
AD - Faculty of Ocean Engineering Technology and Informatics Universiti Malaysia Terengganu 21030, Kuala Nerus, Terengganu, Malaysia
Y1 - 2022
PY - 2022
VL - 13
IS - 1
SP - 2561
EP - 2571
KW - Sombor index
KW - Composed graphs
KW - Corona product
DO - 10.22075/ijnaa.2022.5957
N2 - One of the vertex-degree based topological indices is Sombor index which is denoted by $SO(G)$, and defined by $SO(G)=\sum_{uv \in E(G)}\sqrt{d_u^2+d_v^2}$ where $d_u, d_v$ are the degree of vertices $u$ and $v$ in the graph $G$ respectively. In this paper, we are focusing on computing the Sombor index of some graph operations, more precisely join and corona product of two graphs. The original graphs that have been the base of this paper are path, cycle and complete graphs.
UR - https://ijnaa.semnan.ac.ir/article_5957.html
L1 - https://ijnaa.semnan.ac.ir/article_5957_382d6bae65a46ddd6619062e6aa32f2f.pdf
ER -