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...

Full description

Bibliographic Details
Main Author: Abreu, Nair M.M. (author)
Other Authors: Cardoso, Domingos Moreira (author), Martins, Enide A. (author), Robbiano, Maria (author), San Martin, B. (author)
Format: article
Language:eng
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10773/13101
Country:Portugal
Oai:oai:ria.ua.pt:10773/13101