English

Partial sampling of a random spanning tree

Combinatorics 2026-03-17 v5 Probability

Abstract

We investigate the distributions of subtrees connecting several vertices in \kappa-biased spanning forests of the complete graph K_N and their asymptotics and identify a phase transition at \kappa=O(\sqrt N)

Keywords

Cite

@article{arxiv.2504.21098,
  title  = {Partial sampling of a random spanning tree},
  author = {Yves Le Jan},
  journal= {arXiv preprint arXiv:2504.21098},
  year   = {2026}
}
R2 v1 2026-06-28T23:15:54.855Z