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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.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…