Author

C. D. de Figueiredo

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Open access Sep 2026

On trees with game chromatic number 4

The coloring game is a two-player non-cooperative game conceived by Steven Brams, first published in 1981. In this game, Alice and Bob alternate turns to properly color the vertices of a finite graph G with t colors. Alice’s goal is to properly color the vertices of G with t colors; Bob’s aim is to prevent it. If, at a...

Miguel Del-Rio-Palma, A. Furtado, Simone Dantas et al. · Computational and Applied Ma... · 0 citations

Preprint Sep 2026

Order 14 is the largest order for which every 4-total coloring of every cubic graph is equitable

A total coloring of a graph is an assignment of colors to its vertices and edges so that adjacent or incident elements receive distinct colors, and it is equitable when the cardinalities of any two color classes differ by at most one. Stemock conjectured that every $4$-total coloring of a cubic graph of order less than...

Matheus Adauto, C. D. de Figueiredo, Diana Sasaki et al. · 0 citations