Spectrum of a class of matrices and its applications
Combinatorics
2016-12-05 v1
Abstract
In this paper, we give the spectrum of a matrix by using the quotient matrix, then we apply this result to various matrices associated to a graph and a digraph, including adjacency matrix, (signless) Laplacian matrix, distance matrix, distance (signless) Laplacian matrix, to obtain some known and new results. Moreover, we propose some problems for further research.
Keywords
Cite
@article{arxiv.1612.00648,
title = {Spectrum of a class of matrices and its applications},
author = {Lihua You and Man Yang and JInxi Li and Liyong Ren},
journal= {arXiv preprint arXiv:1612.00648},
year = {2016}
}
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