Maker–Breaker Games with Constraints

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Датум
2021
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Апстракт
We analyse the unbiased WalkerMaker–WalkerBreaker game, a variant of the well-known Maker–Breaker positional game where both players Maker and Breaker are constrained to choose their edges according to a walk. Here, we consider two standard graph games - the Connectivity game and the Hamilton Cycle game played on the edge set of the complete graph, Kn, on n vertices, and show how fast Walker-Maker can build desired spanning structures in these games.
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Кључне речи
Positional games, Maker–Breaker games, Spanning tree, Hamilton cycle
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