The concept of energy of a graph was introduced by Gutman in [2]. The energy of a graph G, often denoted by E = E(G) is the sum of the absolute values of eigenvalues of the adjacency matrix A(G) of the graph G. The purpose of this paper is to investigate the sum indeg energy. The sum indeg energy has been computed for some graph structures and some bounds have also been given. The existence of sum indeg cospectral graphs has been shown and also two non-cospectral equienergetic general graph classes are given.

graph energy, sum indeg Laplacian eigenvalues, sum indeg energy.

Received: December 30, 2021; Accepted: February 18, 2022; Published: March 12, 2022

How to cite this article: Pushpalatha Mahalank, K. N. Prakasha and Ismail Naci Cangul, Sum indeg energy of graphs, Far East Journal of Applied Mathematics 113 (2022), 11-27. http://dx.doi.org/10.17654/0972096022007

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License 

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