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20202025
most citedA general method to find the spectrum and eigenspaces of the -token of a cycle, and 2-token through continuous fractions

1 citations · 1 across the 7 of their papers we have counts for

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math.CO2025

There are no excess one digraphs

Slobodan Filipovski, Arnau Messegué, Josep M. Miret +1

A digraph is \emph{-geodetic} if for any pair there is at most one -walk of length not exceeding . The order of a -geodetic digraph with minimum ou…

math.CO2024

On the nonexistence of almost Moore digraphs with self-repeats

Arnau Messegué, Josep Maria Miret

An almost Moore digraph is a diregular digraph of degree , diameter and order . Their existence has only been shown for . It has also been conje…

math.CO20241 cited

A general method to find the spectrum and eigenspaces of the -token of a cycle, and 2-token through continuous fractions

M. A. Reyes, C. Dalfó, M. A. Fiol +1

The -token graph of a graph is the graph whose vertices are the -subsets of vertices from , two of which being adjacent whenever their symmetric difference is…

math.CO2023

Some bounds on the Laplacian eigenvalues of token graphs

Cristina Dalfó, Miquel Àngel Fiol, Arnau Messegué

The -token graph of a graph on vertices is the graph whose vertices are the -subsets of vertices from , two of which being adjacent wheneve…

math.CO2023

On the spectra of token graphs of cycles and other graphs

Mónica. A. Reyes, Cristina Dalfó, Miquel Àngel Fiol +1

The -token graph of a graph is the graph whose vertices are the -subsets of vertices from , two of which being adjacent whenever their symmetric difference is…

math.CO2023

On large regular (1,1,k)-mixed graphs

C. Dalfó, G. Erskine, G. Exoo +4

An -mixed graph has every vertex with undirected degree , directed in- and out-degree , and diameter . In this paper, we study the case , proposing som…