Polyominoes with minimum site-perimeter and full set achievement games

  • Authors:
  • Nándor Sieben

  • Affiliations:
  • Department of Mathematics and Statistics, Northern Arizona University, Flagstaff, AZ 86011-5717, United States

  • Venue:
  • European Journal of Combinatorics
  • Year:
  • 2008

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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.