On the path cospectral graphs and path signless Laplacian matrix of graphs
Abstract
In this paper, we explore path cospectral graphs and obtain some result concerning to these graphs. Also, we give nonisomorphic path cospectral graphs on 5 ≤ n ≤ 6 vertices and 3 ≤ m ≤ 10 edges. Further, we define path signless Laplacian matrix of a graph and investigate its properties.
Copyright © 2020 S. C. Patekar, M. M. Shikare. 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.
Cite this article
S. C. Patekar, M. M. Shikare, On the path cospectral graphs and path signless Laplacian matrix of graphs, J. Math. Comput. Sci. 10 (2020), 922–935. https://doi.org/10.28919/jmcs/4510
BibTeX
@article{Patekar2020,
author = {Patekar, S. C. and Shikare, M. M.},
title = {On the path cospectral graphs and path signless Laplacian matrix of graphs},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {922--935},
doi = {10.28919/jmcs/4510}
}