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arxiv: 1606.02081 · v1 · pith:GU522QAWnew · submitted 2016-06-07 · 🧮 math.CO

Eplett's theorem for self-converse generalised tournaments

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keywords tournamentconverseeplettgeneralisedself--conversesequencetournamentsarcs
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The converse of a tournament is obtained by reversing all arcs. If a tournament is isomorphic to its converse, it is called self--converse. Eplett provided a necessary and sufficient condition for a sequence of integers to be realisable as the score sequence of a self--converse tournament. In this paper we extend this result to generalised tournaments.

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