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math.SP2013
An Interlacing Approach for Bounding the Sum of Laplacian Eigenvalues of Graphs
A. Abiad, M. A. Fiol, W. H. Haemers +1
We apply eigenvalue interlacing techniques for obtaining lower and upper bounds for the sums of Laplacian eigenvalues of graphs, and characterize equality. This leads to generaliza…
math.SP2012
On some approaches to the spectral excess theorem for nonregular graphs
M. A. Fiol
The Spectral Excess Theorem (SPET) for distance-regular graphs states that a regular (connected) graph is distance-regular if and only if its spectral-excess equals its average exc…