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.