Sombor Index Under Some Graph Products
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-v...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
University of Kashan
2022-12-01
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Series: | Mathematics Interdisciplinary Research |
Subjects: | |
Online Access: | https://mir.kashanu.ac.ir/article_112898_a6e0c8632e3ff18c00a444bd12f57f03.pdf |
Summary: | 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. |
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ISSN: | 2476-4965 |