English

Adding random edges to create the square of a Hamilton cycle

Combinatorics 2017-10-10 v1

Abstract

We consider how many random edges need to be added to a graph of order nn with minimum degree αn\alpha n in order that it contains the square of a Hamilton cycle w.h.p..

Keywords

Cite

@article{arxiv.1710.02716,
  title  = {Adding random edges to create the square of a Hamilton cycle},
  author = {Patrick Bennett and Andrzej Dudek and Alan Frieze},
  journal= {arXiv preprint arXiv:1710.02716},
  year   = {2017}
}
R2 v1 2026-06-22T22:06:38.092Z