Domination game: extremal families for 3/5-conjecture for forests
نویسندگان
چکیده
منابع مشابه
Extremal Problems for Game Domination Number
In the domination game on a graph G, two players called Dominator and Staller alternately select vertices of G. Each vertex chosen must strictly increase the number of vertices dominated; the game ends when the chosen set becomes a dominating set of G. Dominator aims to minimize the size of the resulting dominating set, while Staller aims to maximize it. When both players play optimally, the si...
متن کاملDomination game on forests
In the domination game studied here, Dominator and Staller alternately choose a vertex of a graph G and take it into a set D. The number of vertices dominated by the set D must increase in each single turn and the game ends when D becomes a dominating set of G. Dominator aims to minimize whilst Staller aims to maximize the number of turns (or equivalently, the size of the dominating set D obtai...
متن کاملDomination game: extremal families of graphs for the 3/5-conjectures
Two players, Dominator and Staller, alternate choosing vertices of a graph G, one at a time, such that each chosen vertex enlarges the set of vertices dominated so far. The aim of the Dominator is to finish the game as soon as possible, while the aim of the Staller is just the opposite. The game domination number γg(G) is the number of vertices chosen when Dominator starts the game and both pla...
متن کاملDomination game: Extremal families of graphs for 3/53/5-conjectures
Two players, Dominator and Staller, alternate choosing vertices of a graph G, one at a time, such that each chosen vertex enlarges the set of vertices dominated so far. The aim of the Dominator is to finish the game as soon as possible, while the aim of the Staller is just the opposite. The game domination number g(G) is the number of vertices chosen when Dominator starts the game and both play...
متن کاملProgress towards the total domination game -conjecture
In this paper, we continue the study of the total domination game in graphs introduced in [Graphs Combin. 31(5) (2015), 1453–1462], where the players Dominator and Staller alternately select vertices of G. Each vertex chosen must strictly increase the number of vertices totally dominated, where a vertex totally dominates another vertex if they are neighbors. This process eventually produces a t...
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ژورنال
عنوان ژورنال: Discussiones Mathematicae Graph Theory
سال: 2017
ISSN: 1234-3099,2083-5892
DOI: 10.7151/dmgt.1931