English

Spanning triangulations in random graphs

Combinatorics 2026-05-21 v1 Probability

Abstract

In 1991 Bollob\'{a}s and Frieze found the threshold for the emergence of a spanning triangulation of a triangle in the binomial random graph, up to a logarithmic factor. In this paper, we find the threshold probability for the emergence of a spanning triangulation of a kk-gon for any 3kn3\leq k\leq n, up to a constant factor.

Cite

@article{arxiv.2605.20361,
  title  = {Spanning triangulations in random graphs},
  author = {S. Vakhrushev and M. Zhukovskii},
  journal= {arXiv preprint arXiv:2605.20361},
  year   = {2026}
}

Comments

20 pages, 6 figures