On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

Authors : Shridhar Chandrakant Patekar, Maruti Mukinda Shikare

Pages : 93-101

View : 15 | Download : 10

Publication Date : 2018-01-02

Article Type : Research

Abstract :We introduce the concept of Path Laplacian Matrix for a graph and explore the  eigenvalues of this matrix. The eigenvalues of this matrix are called the path Laplacian eigenvalues of the graph. We investigate path Laplacian eigenvalues of some classes of graph. Several results concerning path Laplacian eigenvalues of graphs have been obtained.
Keywords : Path, Real symmetric matrix, Laplacian matrix