ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory


Discussiones Mathematicae Graph Theory 32(1) (2012) 181-185
DOI: 10.7151/dmgt.1596

The first player wins the one-colour triangle avoidance game on 16 vertices

Przemysław Gordinowicz

Institute of Mathematics
Technical University of Lodz
Łódź, Poland

Paweł Prałat

Department of Mathematics
West Virginia University
Morgantown, WV 26506--6310, USA


We consider the one-colour triangle avoidance game. Using a high performance computing network, we showed that the first player can win the game on 16 vertices.

Keywords: triangle avoidance game, combinatorial games

2010 Mathematics Subject Classification: 05C57, 05C35.


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Received 8 December 2010
Revised 7 March 2011
Accepted 8 March 2011