## 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)

### Stefan Felsner (ed.)

### DMTCS Conference Volume AE (2005), pp. 31-36

author: | Martin Kutz |
---|---|

title: | Weak Positional Games on Hypergraphs |

keywords: | |

abstract: | In a weak positional game, two players, Maker and Breaker, alternately claim vertices of a hypergraph until either Maker wins by getting a complete edge or all vertices are taken without this happening, a Breaker win. For the class of almost-disjoint hypergraphs of rank three (edges with up to three vertices only and edge-intersections on at most one vertex) we show how to find optimal strategies in polynomial time. Our result is based on a new type of decomposition theorem which might lead to a better understanding of weak positional games in general. |

If your browser does not display the abstract correctly (because of the different mathematical symbols) you may look it up in the PostScript or PDF files. | |

reference: | Martin Kutz (2005), Weak
Positional Games on Hypergraphs, in 2005 European
Conference on Combinatorics, Graph Theory and Applications
(EuroComb '05), Stefan Felsner (ed.), Discrete
Mathematics and Theoretical Computer Science Proceedings
AE, pp. 31-36 |

bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |

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Automatically produced on Di Sep 27 10:09:40 CEST 2005 by gustedt