English

On a sparse random graph with minimum degree {three}: Likely Posa's sets are large

Combinatorics 2011-07-26 v1

Abstract

We consider the likely size of the endpoint sets produced by Posa rotations, when applied to a longest path in a random graph with cn,c2.7cn,\,c\geq 2.7 edges that is conditioned to have minimum degree at least three.

Keywords

Cite

@article{arxiv.1107.4944,
  title  = {On a sparse random graph with minimum degree {three}: Likely Posa's sets are large},
  author = {Alan Frieze and Boris Pittel},
  journal= {arXiv preprint arXiv:1107.4944},
  year   = {2011}
}

Comments

Companion to paper "On a Greedy 2-Matching Algorithm and Hamilton Cycles in Random Graphs with Minimum Degree at Least Three"

R2 v1 2026-06-21T18:41:35.205Z