Impartial coloring games - Archive ouverte HAL
Article Dans Une Revue Theoretical Computer Science Année : 2013

Impartial coloring games

Gabriel Beaulieu
  • Fonction : Auteur
Kyle Burke
  • Fonction : Auteur

Résumé

Coloring games are combinatorial games where the players alternate painting uncolored vertices of a graph one of k > 0 colors. Each different ruleset specifies that game's coloring constraints. This paper investigates six impartial rulesets (five new), derived from previously-studied graph coloring schemes, including proper map coloring, oriented coloring, 2-distance coloring, weak coloring, and sequential coloring. For each, we study the outcome classes for special cases and general computational complexity. In some cases we pay special attention to the Grundy function.
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Dates et versions

hal-01339160 , version 1 (29-06-2016)

Identifiants

  • HAL Id : hal-01339160 , version 1

Citer

Gabriel Beaulieu, Kyle Burke, Eric Duchene. Impartial coloring games. Theoretical Computer Science, 2013, 485, pp.49-60. ⟨hal-01339160⟩
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