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
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
