E AND N-ENERGIES OF LINEAR SEMIGRAPH

N. Murugesan, D. Narmatha

Abstract: In general, graphs are associated with different types of matrices to study their structural properties. As a result, the study of spectrum of graphs become an important area of research in graph theory. Various types of energies have been discussed according to the type of matrix under consideration. In semigraphs, the adjacency between vertices is defined in many ways. This opens a broad scope to study the different energies of semigraphs. In this paper, two types of adjacency matrices, namely e - adjacency matrix and n -adjacency matrix are considered to study the respective energies of the most fundamental semigraph known as linear semigraph

Keywords: linear semigraph, e - adjacency matrix, n - adjacency matrix, energy of a graph

DOI: https://doi.org/10.15623/ijret.2014.0311028