Eplett's theorem for self-converse generalised tournaments

zbMATH Open1383.05136arXiv1606.02081MaRDI QIDQ5374246

Erik Thörnblad

Publication date: 10 April 2018

Abstract: 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.

Full work available at URL: https://arxiv.org/abs/1606.02081

Mathematics Subject Classification ID

Directed graphs (digraphs), tournaments (05C20)

Cites Work

• An extension of Landau's theorem on tournaments
• Self-Converse Tournaments

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