e-Adjacency matrix and e-Laplacian matrix of semigraph
Abstract
In this paper we define e-Adjacency matrix A_e(S) and e-Laplacian matrix of a Semigraph L_e(S). Also discuss some results of eigenvalues of these matrices. We define e-Energy of Semigraph E_e(S) using eigenvalues of its e-adjacency matrix and e- Laplacian energy of Semigraph LE_e (S) using eigenvalues of its e-Laplacian matrix. We investigate relation between e-energy E_e(S) and e-Laplacian energy LE_e(S) for regular Semigraphs.
Full Text:
PDF
How to Cite this Article
Ambika Biradar, e-Adjacency matrix and e-Laplacian matrix of semigraph, J. Math. Comput. Sci., 10 (2020), 2296-2306. https://doi.org/10.28919/jmcs/4852
Copyright © 2020 Ambika Biradar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.