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 |
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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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