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math.CO2025
On Grundy indices for complete geometric graphs
Dolores Lara, Christian Rubio-Montiel, Francisco Zaragoza
The pseudo-Grundy index of a graph is the largest number of colors that can be assigned to its edges, such that for every pair of colors , if then every edge colored w…
math.CO2025
Acyclic and complete coloring of digraphs with the minimum and maximum possible numbers of colors
Mika Olsen, Christian Rubio-Montiel, Alejandra Silva Ramirez
The dichromatic and diachromatic numbers of a digraph are the minimum and maximum numbers of colors, respectively, in acyclic and complete colorings of the digraph. In this paper,…