English

Hamilton paths with lasting separation

Combinatorics 2017-07-19 v2

Abstract

We determine the asymptotics of the largest cardinality of a set of Hamilton paths in the complete graph with vertex set [n] under the condition that for any two of the paths in the family there is a subpath of length k entirely contained in only one of them and edge{disjoint from the other one.

Keywords

Cite

@article{arxiv.1701.07752,
  title  = {Hamilton paths with lasting separation},
  author = {Janos Korner and Emanuela Fachini},
  journal= {arXiv preprint arXiv:1701.07752},
  year   = {2017}
}
R2 v1 2026-06-22T18:01:31.718Z