The recycled Kaplansky's game

  • Authors:
  • András Pluhár

  • Affiliations:
  • Department of Computer Science, University of Szeged, Árpád tér 2, H-6720 Szeged, Hungary

  • Venue:
  • Acta Cybernetica
  • Year:
  • 2004

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Abstract

Motivated by the Nine Men Morris game, the achievement or hypergraph games can be prolonged in the following way. After placing a prescribed number of stones, the players pick some of these up and replace again. We study the effect of this recycling for the k-in-a-row game and some versions of the Kaplansky's game.