Laplacian Energy of Binary Labeled Graph

Bhat, Pradeep G and D'souza, Sabitha and Nayak, Swati S (2015) Laplacian Energy of Binary Labeled Graph. International Journal of Mathematical Combinatorics, 2. pp. 106-121. ISSN 937-1055

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Abstract

Let G be a binary labeled graph and Al(G) = (lij) be its label adjacency matrix. For a vertex vi, we define label degree as Li = Pn j=1 lij . In this paper, we define label Laplacian energy LEl(G). It depends on the underlying graph G and labels of the vertices. We compute label Laplacian spectrum of families of graph. We also obtain some bounds for label Laplacian energy.

Item Type: Article
Uncontrolled Keywords: Label Laplacian matrix, label Laplacian eigenvalues, label Laplacian energy.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 06 Oct 2015 10:55
Last Modified: 06 Oct 2015 10:55
URI: http://eprints.manipal.edu/id/eprint/143903

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