English

Eplett's theorem for self-converse generalised tournaments

Combinatorics 2016-06-08 v1

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.

Keywords

Cite

@article{arxiv.1606.02081,
  title  = {Eplett's theorem for self-converse generalised tournaments},
  author = {Erik Thörnblad},
  journal= {arXiv preprint arXiv:1606.02081},
  year   = {2016}
}

Comments

5 pages

R2 v1 2026-06-22T14:19:24.318Z