e-Adjacency matrix and e-Laplacian matrix of semigraph

Ambika Biradar

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

Published: 2020-08-31

How to Cite this Article:

Ambika Biradar, e-Adjacency matrix and e-Laplacian matrix of semigraph, J. Math. Comput. Sci., 10 (2020), 2296-2306

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.

J. Math. Comput. Sci.

ISSN: 1927-5307

Editorial Office: jmcs@scik.org

 

Copyright ©2020 JMCS