Title of article
Sombor Index Under Some Graph Products
Author/Authors
Rezaee Abdolhosseinzadeh ، Irandokht Department of Applied Mathematics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad , Rahbarnia ، Freydoon Department of Applied Mathematics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad , Tavakoli ، Mostafa Department of Applied Mathematics - Faculty of Mathematical Sciences - Ferdowsi University of Mashhad
From page
331
To page
342
Abstract
Let G=(V, E) be a graph with vertex set V(G) and edge set E(G). The Sombor index of a graph G, SO(G), is defined as ∑uv∈ E(G) √(d2u+d2v), where du is the degree of vertex u in V(G). In the present paper, we determine the lower bound for the Sombor index of edge corona, R-edge and R-vertex corona products of two graphs. We also compute the exact value for the Sombor index of the line graphs of subdivision of tadpol, ladder and wheel graphs.
Keywords
Sombor index , Edge corona , R , vertex corona , Line graphs , Subdivision of tadpole graph
Journal title
Mathematics Interdisciplinary Research
Journal title
Mathematics Interdisciplinary Research
Record number
2737444
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