Trees with equal total domination and game total domination numbers
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Publication:2357775
DOI10.1016/j.dam.2017.03.012zbMath1365.05199arXiv1609.03059OpenAlexW2963548372MaRDI QIDQ2357775
Michael A. Henning, Douglas F. Rall
Publication date: 14 June 2017
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1609.03059
Trees (05C05) 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 (16)
Predominating a vertex in the connected domination game ⋮ Fast winning strategies for the maker-breaker domination game ⋮ Paired-Domination Game Played in Graphs ⋮ Infinite families of circular and Möbius ladders that are total domination game critical ⋮ Effect of predomination and vertex removal on the game total domination number of a graph ⋮ Domination game on uniform hypergraphs ⋮ On graphs with largest possible game domination number ⋮ 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 ⋮ Game total domination for cyclic bipartite graphs ⋮ Maker-breaker domination number ⋮ Connected domination game: Predomination, Staller-start game, and lexicographic products ⋮ Connected domination game ⋮ On graphs with equal total domination and Grundy total domination numbers
Cites Work
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- Domination Game and an Imagination Strategy
- Domination Game: A proof of the $3/5$-Conjecture for Graphs with Minimum Degree at Least Two
- Total Domination in Graphs
- Extremal Problems for Game Domination Number
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