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math.CO2025
Fair and Tolerant (FAT) Graph Colorings
Lies Beers, Raffaella Mulas
We introduce and study Fair and Tolerant colorings (FAT colorings), where each vertex tolerates a given fraction of same-colored neighbors while fairness is preserved across the ot…
math.CO2025
Coloring outside the lines: Spectral bounds for generalized hypergraph colorings
Lies Beers, Raffaella Mulas
It is known that, for an oriented hypergraph with (vertex) coloring number and smallest and largest normalized Laplacian eigenvalues and , respectively, the inequali…