55 citations · 204 across the 46 of their papers we have counts for
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Spectra and eigenspaces from regular partitions of Cayley (di)graphs of permutation groups
C. Dalfó, M. A. Fiol
In this paper, we present a method to obtain regular (or equitable) partitions of Cayley (di)graphs (that is, graphs, digraphs, or mixed graphs) of permutation groups on letter…
On a version of the spectral excess theorem
M. A. Fiol, Safet Penjić
Given a regular (connected) graph with adjacency matrix , distinct eigenvalues, and diameter , we give a characterization of when its distance matrix is…
Spectra and eigenspaces of arbitrary lifts of graphs
C. Dalfó, M. A. Fiol, S. Pavlíková +1
We describe, in a very explicit way, a method for determining the spectra and bases of all the corresponding eigenspaces of arbitrary lifts of graphs (regular or not).
A general method to obtain the spectrum and local spectra of a graph from its regular partitions
C. Dalfó, M. A. Fiol
It is well known that, in general, part of the spectrum of a graph can be obtained from the adjacency matrix of its quotient graph given by a regular partition. In this paper, we p…