Title of article
Sombor index of some graph operations
Author/Authors
Arif, Nabeel E. Department of Mathematics - College of Computer Science and Mathematics - Tikrit University, Tikrit, Iraq , Karim, Akar H. Mathematics Department - College of Science - University of Sulaimani, Kurdistan Region of Iraq, Iraq , Hasni, Roslan Faculty of Ocean Engineering Technology and Informatics - Universiti Malaysia Terengganu, Kuala Nerus, Terengganu, Malaysia
Pages
11
From page
2561
To page
2571
Abstract
One of the vertex-degree based topological indices is Sombor index which is denoted by SO(G), and defined by SO(G)=∑uv∈E(G)d2u+d2v−−−−−−√ where du,dv 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.
Keywords
Sombor index , Composed graphs , Corona product
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2022
Record number
2713413
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