On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

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Journal of New Theory
Issue:20
On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

On Path Laplacian Eigenvalues and Path Laplacian Energy of Graphs

Authors : Shridhar Chandrakant PATEKAR, Maruti Mukinda SHİKARE

Pages : 93-101

View : 41 | Download : 7

Publication Date : 2018-01-28

Article Type : Research Paper

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

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