10 citations · 20 across the 23 of their papers we have counts for
4 papers · 1 filter
A note on the spectra and eigenspaces of the universal adjacency matrices of arbitrary lifts of graphs
C. Dalfó, M. A. Fiol, S. Pavlíková +1
The universal adjacency matrix of a graph , with adjacency matrix , is a linear combination of , the diagonal matrix of vertex degrees, the identity matrix , an…
On -Fibonacci digraphs
C. Dalfó, M. A. Fiol
The -Fibonacci digraphs , introduced here, have the number of vertices following generalized Fibonacci-like sequences. They can be defined both as digraphs on alphabets…
New results on the degree/diameter problem of mixed Abelian Cayley graphs
C. Dalfó, M. A. Fiol, N. López
Mixed graphs can be seen as digraphs that have both arcs and edges (or digons, that is, two opposite arcs). In this paper, we consider the case in which such graphs are Cayley grap…
A new class of polynomials from to the spectrum of a graph, and its application to bound the -independence number
M. A. Fiol
The -independence number of a graph is the maximum size of a set of vertices at pairwise distance greater than . A graph is called -partially walk-regular if the number of…