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20122024
most citedOn almost distance-regular graphs

55 citations · 65 across the 17 of their papers we have counts for

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17 papers · 1 filter

math.CO2024

On bipartite biregular large graphs

G. Araujo-Pardo, C. Dalfó, M. A. Fiol +1

A bipartite graph with is biregular if all the vertices of each stable set, and , have the same degree, and , respectively. This paper s…

math.CO2024

Token graphs of Cayley graphs as lifts

C. Dalfó, M. A. Fiol, S. Pavlíková +1

This paper describes a general method for representing -token graphs of Cayley graphs as lifts of voltage graphs. This allows us to construct line graphs of circulant graphs and…

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 bipartite -mixed graphs

C. Dalfó, G. Erskine, G. Exoo +2

Mixed graphs can be seen as digraphs with arcs and edges (or digons, that is, two opposite arcs). In this paper, we consider the case where such graphs are bipartite and in which t…

math.CO2024

On token signed graphs

C. Dalfó, M. A. Fiol, E. Steffen

We introduce the concept of a -token signed graph and study some of its combinatorial and algebraic properties. We prove that two switching isomorphic signed graphs have switchi…

math.CO2024

Note on the product of the largest and the smallest eigenvalue of a graph

Aida Abiad, Cristina Dalfó, Miquel Àngel Fiol

In this note, we use eigenvalue interlacing to derive an inequality between the maximum degree of a graph and its maximum and minimum adjacency eigenvalues. The case of equality is…