M. A. Fiol

activity

20122024

most citedOn almost distance-regular graphs

55 citations · 204 across the 46 of their papers we have counts for

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45 papers · 1 filter

math.CO2024

Structural and Spectral Properties of Chordal Ring, Multi-ring and Mixed Graphs

M. A. Reyes, C. Dalfó, M. A. Fiol

The chordal ring (CR) graphs are a well-known family of graphs used to model some interconnection networks for computer systems in which all nodes are in a cycle. Generalizing the…

math.CO2023★ 1 cited

On the spectra and spectral radii of token graphs

M. A. Reyes, C. Dalfó, M. A. Fiol

Let $G$ be a graph on $n$ vertices. The $k$ -token graph (or symmetric $k$ -th power) of $G$ , denoted by $F_{k} (G)$ has as vertices the $(k n)$ $k$ -subsets of vertices from $G$ ,…

math.CO2023

Some bounds on the Laplacian eigenvalues of token graphs

Cristina Dalfó, Miquel Àngel Fiol, Arnau Messegué

The $k$ -token graph $F_{k} (G)$ of a graph $G$ on $n$ vertices is the graph whose vertices are the $(k n)$ $k$ -subsets of vertices from $G$ , two of which being adjacent wheneve…

math.CO2022

Almost Moore and the largest mixed graphs of diameters two and three

C. Dalfó, M. A. Fiol, N. López

Almost Moore mixed graphs\/} appear in the context of the degree/diameter problem as a class of extremal mixed graphs, in the sense that their order is one unit less than the Moore…

math.CO2021

Bipartite biregular Moore graphs

Gabriela Araujo-Pardo, Cristina Dalfó, Miguel Ángel Fiol +1

A bipartite graph $G = (V, E)$ with $V = V_{1} \cup V_{2}$ is biregular if all the vertices of a stable set $V_{i}$ have the same degree $r_{i}$ for $i = 1, 2$ . In this paper, we give an improved n…

math.CO2020★ 1 cited

Decompositions of a rectangle into non-congruent rectangles of equal area

C. Dalfó, M. A. Fiol, N. López +1

In this paper, we deal with a simple geometric problem: Is it possible to partition a rectangle into $k$ non-congruent rectangles of equal area? This problem is motivated by the so…