On the Laplacian and signless Laplacian spectrum of a graph with k pairwise co-neighbor vertices
Consider the Laplacian and signless Laplacian spectrum of a graph G of order n, with k pairwise co-neighbor vertices. We prove that the number of shared neighbors is a Laplacian and a signless Laplacian eigenvalue of G with multiplicity at least k− 1. Additionally, considering a connected graph Gk w...
Main Author: | |
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Other Authors: | , , , |
Format: | article |
Language: | eng |
Published: |
2012
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Subjects: | |
Online Access: | http://hdl.handle.net/10773/13101 |
Country: | Portugal |
Oai: | oai:ria.ua.pt:10773/13101 |