55 citations · 204 across the 46 of their papers we have counts for
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Comments on "Extremal Cayley digraphs of finite Abelian groups" [Intercon. Networks 12 (2011), no. 1-2, 125--135]
M. A. Fiol
We comment on the paper "Extremal Cayley digraphs of finite Abelian groups" [Intercon. Networks 12 (2011), no. 1-2, 125--135]. In particular, we give some counterexamples to the re…
The spectral excess theorem for distance-regular graphs having distance- graph with fewer distinct eigenvalues
M. A. Fiol
Let be a distance-regular graph with diameter and Kneser graph , the distance- graph of . We say that is partially antipodal when has fewer distinct ei…
A spectral characterization of strongly distance-regular graphs with diameter four
M. A. Fiol
A graph with distinct eigenvalues is called strongly distance-regular if itself is distance-regular, and its distance- graph is strongly-regular. In this not…
The Laplacian spectral excess theorem for distance-regular graphs
Edwin R. van Dam, Miquel Angel Fiol
The spectral excess theorem states that, in a regular graph G, the average excess, which is the mean of the numbers of vertices at maximum distance from a vertex, is bounded above…
Some Spectral and Quasi-Spectral Characterizations of Distance-Regular Graphs
A. Abiad, E. R. van Dam, M. A. Fiol
In this paper we consider the concept of preintersection numbers of a graph. These numbers are determined by the spectrum of the adjacency matrix of the graph, and generalize the i…