Eigenvalue Interlacing in Graphs
DOI:
https://doi.org/10.5540/03.2017.005.01.0232Keywords:
Spectral graph theory, interlacing inequality, eigenvalues.Abstract
In this work we present eigenvalue interlacing results for the adjacency matrix A, the standard Laplacian matrix L, the normalized Laplacian matrix L and the signless Laplacian matrix Q associated with the edge subdivision operation. In addition, we show an eigenvalue interlacing result associated with the vertex contraction operation for the signless Laplacian matrix Q.
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Published
2017-04-14
Issue
Section
Trabalhos Completos - Matemática Discreta