Polyomino weak achievement games on 3-dimensional rectangular boards

Nándor Sieben; Elaina Deabay

doi:10.1016/j.disc.2004.11.001

Polyomino weak achievement games on 3-dimensional rectangular boards

Nándor Sieben, Elaina Deabay

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Polyomino achievement games on 3-dimensional rectangular boards are studied. All except two polyominoes with less than six cells are weak winners. The smallest known paving losers contain six cells. There are finitely many winning polyominoes.

Original language	English (US)
Pages (from-to)	61-78
Number of pages	18
Journal	Discrete Mathematics
Volume	290
Issue number	1
DOIs	https://doi.org/10.1016/j.disc.2004.11.001
State	Published - Jan 28 2005

Keywords

Achievement game
Animal
Hypercube
Hypergraph game
Polyomino

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1016/j.disc.2004.11.001

Cite this

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title = "Polyomino weak achievement games on 3-dimensional rectangular boards",

abstract = "Polyomino achievement games on 3-dimensional rectangular boards are studied. All except two polyominoes with less than six cells are weak winners. The smallest known paving losers contain six cells. There are finitely many winning polyominoes.",

keywords = "Achievement game, Animal, Hypercube, Hypergraph game, Polyomino",

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AU - Deabay, Elaina

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AB - Polyomino achievement games on 3-dimensional rectangular boards are studied. All except two polyominoes with less than six cells are weak winners. The smallest known paving losers contain six cells. There are finitely many winning polyominoes.

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KW - Hypercube

KW - Hypergraph game

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Polyomino weak achievement games on 3-dimensional rectangular boards

Abstract

Keywords

ASJC Scopus subject areas

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