Sports tournaments, home-away assignments, and the break minimization problem

G.F. Post, G.J. Woeginger

Research output: Contribution to journalArticleAcademicpeer-review

13 Citations (Scopus)

Abstract

We consider the break minimization problem for fixing home–away assignments in round-robin sports tournaments. First, we show that, for an opponent schedule with n teams and n-1 rounds, there always exists a home–away assignment with at most breaks. Secondly, for infinitely many n, we construct opponent schedules for which at least breaks are necessary. Finally, we prove that break minimization for n teams and a partial opponent schedule with r rounds is an NP-hard problem for r=3. This is in strong contrast to the case of r=2 rounds, which can be scheduled (in polynomial time) without any breaks.
Original languageEnglish
Pages (from-to)165-173
JournalDiscrete Optimization
Volume3
Issue number2
DOIs
Publication statusPublished - 2006

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