Title of article :
On the spectral radius, energy and Estrada index of the Sombor matrix of graphs
Author/Authors :
Lin ، Zhen The State Key Laboratory of Tibetan Intelligent Information Processing and Application The State Key Laboratory of Tibetan Intelligent Information Processing and Application - School of Mathematics and Statistics - Qinghai Normal University , Zhou ، Ting School of Mathematics - China University of Mining and Technology , Miao ، Lianying School of Mathematics - China University of Mining and Technology
Abstract :
Let G be a simple undirected graph with vertex set V(G)=\{v_1, v_2,\ldots,v_n\} and edge set E(G). The Sombor matrix \mathcal{S}(G) of a graph G is defined so that its (i,j)-entry is equal to \sqrt{d_i^2+d_j^2} if the vertices v_i and v_j are adjacent, and zero otherwise, where d_i denotes the degree of vertex v_i in G. In this paper, lower and upper bounds on the spectral radius, energy and Estrada index of the Sombor matrix of graphs are obtained, and the respective extremal graphs are characterized.
Keywords :
Sombor matrix , Sombor spectral radius , Sombor energy , Sombor Estrada index
Journal title :
Transactions on Combinatorics
Journal title :
Transactions on Combinatorics
