Polyominoes with minimum site-perimeter and full set achievement games

Nándor Sieben

doi:10.1016/j.ejc.2006.12.008

Polyominoes with minimum site-perimeter and full set achievement games

Nándor Sieben

Mathematics and Statistics

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

17 Scopus citations

Abstract

The site-perimeter of a polyomino is the number of empty cells connected to the polyomino by an edge. A formula for the minimum site-perimeter with a given cell size is found. This formula is used to show the effectiveness of a simple random strategy in polyomino set achievement games.

Original language	English (US)
Pages (from-to)	108-117
Number of pages	10
Journal	European Journal of Combinatorics
Volume	29
Issue number	1
DOIs	https://doi.org/10.1016/j.ejc.2006.12.008
State	Published - Jan 2008

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1016/j.ejc.2006.12.008

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title = "Polyominoes with minimum site-perimeter and full set achievement games",

abstract = "The site-perimeter of a polyomino is the number of empty cells connected to the polyomino by an edge. A formula for the minimum site-perimeter with a given cell size is found. This formula is used to show the effectiveness of a simple random strategy in polyomino set achievement games.",

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AB - The site-perimeter of a polyomino is the number of empty cells connected to the polyomino by an edge. A formula for the minimum site-perimeter with a given cell size is found. This formula is used to show the effectiveness of a simple random strategy in polyomino set achievement games.

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Polyominoes with minimum site-perimeter and full set achievement games

Abstract

ASJC Scopus subject areas

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