Author

G. Araujo-Pardo

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Preprint Aug 2026

The balanced upper chromatic number of linear hypergraphs and the $n$-cube over $t$ elements

A coloring of the vertices of a hypergraph is called \emph{balanced} if the sizes of the color classes differ by at most one. We say that a hyperedge is \emph{rainbow} if its elements have pairwise distinct colors. In this paper, we provide a general upper bound on the \emph{balanced upper chromatic number} of arbitrar...

G. Araujo-Pardo, S. Fernández-Merchant, A. Hansberg et al. · 0 citations

Preprint Aug 2026

On the achromatic index of Johnson graphs $J(n,2)$

In this paper, we study proper and complete edge-colorings of Johnson graphs $J(n,2)$, also called $n$-triangular graphs. They are isomorphic both to the 2-token graphs of complete graphs and to the line graphs of complete graphs. A $t$-edge-coloring of a graph $G$ is a function that assigns one color from $\{1,2,\ldot...

G. Araujo-Pardo, C. Dalf'o, M. Reyes · 0 citations