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Round-robin tournaments generated by the circle method have maximum carry-over

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Listed:
  • Erik Lambrechts
  • Annette Ficker
  • Dries Goossens
  • Frits Spieksma

Abstract

The Circle Method is widely used in the field of sport scheduling to generate schedules for round-robin tournaments. If in such a tournament, team A played team B in its previous match and is now playing team C, team C is said to receive a carry-over effect from team B. The so-called carry-over effect value is a number that can be associated to each round-robin schedule; it represents a degree of unbalancedness of the schedule with respect to carry-over. Here, we prove that, for an even number of teams, the Circle Method generates a schedule with maximum carry-over effect value, answering an open question.

Suggested Citation

  • Erik Lambrechts & Annette Ficker & Dries Goossens & Frits Spieksma, 2016. "Round-robin tournaments generated by the circle method have maximum carry-over," Working Papers of Department of Decision Sciences and Information Management, Leuven 538949, KU Leuven, Faculty of Economics and Business (FEB), Department of Decision Sciences and Information Management, Leuven.
    • Handle: RePEc:ete:kbiper:538949
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