The Maker–Maker domination game in forests

• Published in: Discrete Applied Mathematics Vol. 348; pp. 6 - 34
• Main Authors: Duchêne, Eric, Dumas, Arthur, Oijid, Nacim, Parreau, Aline, Rémila, Eric
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 15.05.2024; Elsevier
• Subjects: Combinatorics; Computational Complexity; Computer Science; Dominating set; Domination game; Graphs; Maker–Breaker games; Maker–Maker games; Mathematics; Positional games; PSPACE-completeness; Maker–Breaker games; Dominating set; Maker–Maker games; PSPACE-completeness; Graphs; Positional games; Domination game; Maker-Maker Games; Positional Games; Maker-Breaker Games; domination game

We study the Maker–Maker version of the domination game introduced in 2018 by Duchêne et al. Given a graph, two players alternately claim vertices. The first player to claim a dominating set of the graph wins. As the Maker–Breaker version, this game is PSPACE-complete on split and bipartite graphs....