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*Julian D. A. Wiseman, April 2004*

This 5-player all-play-all tournament design, last updated in April 2004, is based on originals by Matt Fayers of The Department of Mathematics at Queen Mary, University of London (formerly of The Department of Pure Mathematics and Mathematical Statistics at The University of Cambridge).

Available formats: | |
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PDF (A4) | Schedule, in score-sheet, with running totals; Blank score sheet, with running totals |

PDF (A3) | Schedule, in score-sheet, with running totals; Blank score sheet, with running totals |

PDF (USL) | Schedule, in score-sheet, with running totals; Blank score sheet, with running totals |

Text | Human-readable schedule, machine-readable schedule |

Also see the all-play-all explanation and the links to designs for other numbers of players. |

Properties of this tournament design:

Bye i ii 1 A C:E D:B 2 C D:A B:E 3 D B:C E:A 4 B E:D A:C 5 E A:B C:D |

Each player plays each of the others exactly once, and each player has one bye.

All play once on the left and once on the right of each venue.

No player plays two consecutive games at venue i. All players except D play twice consecutively at venue ii.

It is seeded, so that important games come late in the tournament if player A is the best, B the second best, etc.

It has a permutation score of 256.351585411, which is maximal.

It has a left-right asymmetry measure of 337/300 = 1.1233333, which is minimal given the assignment of games to rounds and venues.

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