Average degree matrix and average degree energy

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If G is a simple graph on n vertices v1,v2,...,vn and di be the degree of ith vertex vi then the average degree matrix of graph G, AD(G) is of order n × n whose (i,j)th entry is di+dj 2 if the vertices vi and vj are adjacent and zero otherwise. The average degree energy of G, AD(E(G)) is the sum of all absolute value of eigenvalues of average degree matrix of a graph G. In this paper, bounds for average degree energy AD(E(G)) and the relation between average degree energy AD(E(G)) and energy E(G) is discussed.

Original languageEnglish
Article number2250101
JournalDiscrete Mathematics, Algorithms and Applications
Publication statusAccepted/In press - 2022

All Science Journal Classification (ASJC) codes

  • Discrete Mathematics and Combinatorics


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