English

Sequentially constrained Hamilton cycles in random graphs

Combinatorics 2023-11-08 v4

Abstract

We discuss the existence of Hamilton cycles in the random graph Gn,pG_{n,p} where there are restrictions caused by (i) coloring sequences, (ii) a subset of vertices must occur in a specific order and (iii) there is a bound on the number of inversions in the associated permutation.

Keywords

Cite

@article{arxiv.2305.00880,
  title  = {Sequentially constrained Hamilton cycles in random graphs},
  author = {Alan Frieze and Wesley Pegden},
  journal= {arXiv preprint arXiv:2305.00880},
  year   = {2023}
}
R2 v1 2026-06-28T10:22:34.422Z