Domination game on forests

DOI10.1016/j.disc.2015.05.022zbMath1318.05042arXiv1404.1382OpenAlexW1494709816WikidataQ59072477 ScholiaQ59072477MaRDI QIDQ2515560

Csilla Bujtás

Publication date: 5 August 2015

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.1382

zbMATH Keywords

domination gamegame domination number3/5-conjecture

Mathematics Subject Classification ID

Games involving graphs (91A43) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Games on graphs (graph-theoretic aspects) (05C57)

Related Items (29)

The graph distance game and some graph operations ⋮ The 3/5-conjecture for weakly \(S(K_{1, 3})\)-free forests ⋮ On the game total domination number ⋮ Complexity of the game domination problem ⋮ Mycielskian of graphs with small game domination number ⋮ Domination Game: A proof of the $3/5$-Conjecture for Graphs with Minimum Degree at Least Two ⋮ On the structure of dominating graphs ⋮ On the game domination number of graphs with given minimum degree ⋮ Unnamed Item ⋮ Domination game critical graphs ⋮ General upper bound on the game domination number ⋮ Unnamed Item ⋮ THE DOMINATION GAME ON SPLIT GRAPHS ⋮ Domination game and minimal edge cuts ⋮ Cutting lemma and union lemma for the domination game ⋮ Domination game on uniform hypergraphs ⋮ Bounds on the 2-domination number ⋮ On graphs with largest possible game domination number ⋮ The enclaveless competition game ⋮ How long can one bluff in the domination game? ⋮ The variety of domination games ⋮ Game total domination critical graphs ⋮ On domination game stable graphs and domination game edge-critical graphs ⋮ An Introduction to Game Domination in Graphs ⋮ Unnamed Item ⋮ \( 1 / 2\)-conjectures on the domination game and claw-free graphs ⋮ Fractional domination game ⋮ On Rall's 1/2-conjecture on the domination game ⋮ Connected domination game

Cites Work

• Domination game played on trees and spanning subgraphs
• Domination game: effect of edge- and vertex-removal
• Realizations of the game domination number
• Domination game: extremal families of graphs for \(3/5\)-conjectures
• Domination Game and an Imagination Strategy
• Extremal Problems for Game Domination Number

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