Bounds and constructions for n-e.c. tournaments

Authors

  • Anthony Bonato
  • Przemysław Gordinowicz
  • Paweł Prałat

DOI:

https://doi.org/10.11575/cdm.v5i2.62061

Abstract

Few families of tournaments satisfying the $n$-e.c.\ adjacency property are known. We supply a new random construction for generating infinite families of vertex-transitive $n$-e.c.\ tournaments by considering circulant tournaments. Switching is used to generate exponentially many $n$-e.c.\ tournaments of certain orders. With aid of a computer search, we demonstrate that there is a unique minimum order $3$-e.c.\ tournament of order $19,$ and there are no $3$-e.c.\ tournaments of orders $20,$ $21,$ and $22.$

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Published

2010-09-28

Issue

Vol. 5 No. 2 (2010)

Section

Articles

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