Udupa, Sayinath and Bhat, R S
(2020)
*The minimum vv-coloring Laplacian energy of a graph.*
Italian journal of Pre and Applied Mathematics, 44.
pp. 1075-1084.
ISSN 1126-8042

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## Abstract

Let B(G) denote the set of all blocks of a graph G. Two vertices are vv-adjacent if they incident on the same block. Then vv-degree of a vertex u, dvv(u) is the number vertices vv-adjacent to the vertex u. In this paper we introduce new kind of graph energy, the minimum vv-coloring Laplacian energy of a graph denoting it as LEcvv(G). It depends both on underlying graph of G and its particular colors on its vertices of G. We studied some of the properties of LEcvv(G) and bounds for LEcvv(G) are established.

Item Type: | Article |
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Uncontrolled Keywords: | energy of a graph, Laplacian energy of a graph, Color energy of a graph, vv-coloring of a graph |

Subjects: | Engineering > MIT Manipal > Mathematics |

Depositing User: | MIT Library |

Date Deposited: | 24 Nov 2020 06:57 |

Last Modified: | 24 Nov 2020 06:57 |

URI: | http://eprints.manipal.edu/id/eprint/156039 |

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