Eplett's theorem for self-converse generalised tournaments

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 p...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2016-06
Main Author: Thörnblad, Erik
Format: Article
Language:English
Subjects:
Integers
Tournaments & championships
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2331-8422