Different energies of the one-point union of complete bipartite graph

Abstract

The concept of energy of graphs originated with chemical applications and was first introduced by Gutman in 1978. The energy of a graph E(G) was defined as the sum of the absolute eigenvalues of the adjacency matrix. In the present work, the energy of graph, general extended adjacency energy of graph in the context of graph operation, namely one point union of k-copies of complete bipartite graph Kp,q have been discussed. Also, MATLAB coding has been generated for all the results. In this paper, we have investigated the bounds on energy in terms of order of disjoint union of graphs and one point union of graphs.