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20232026
most citedOn the spectra and spectral radii of token graphs

1 citations · 2 across the 6 of their papers we have counts for

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7 papers · 1 filter

math.CO2026

On the achromatic index of Johnson graphs

Gabriela Araujo-Pardo, Cristina Dalfó, Mónica Reyes

In this paper, we study proper and complete edge-colorings of Johnson graphs , also called -triangular graphs. They are isomorphic both to the 2-token graphs of complete…

math.CO2026

On supertoken graphs

Mónica A. Reyes, Cristina Dalfó, Miquel Àngel Fiol

We generalize the concept of token graphs to obtain supertoken graphs. In the latter case, there can be more than one token in a vertex. We formally define supertoken graphs and es…

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.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.CO2024

On two algebras of token graphs

M. A. Reyes, C. Dalfó, M. A. Fiol

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.CO20231 cited

On the spectra and spectral radii of token graphs

M. A. Reyes, C. Dalfó, M. A. Fiol

Let be a graph on vertices. The -token graph (or symmetric -th power) of , denoted by has as vertices the -subsets of vertices from ,…