English

Monotone Property Thresholds

Combinatorics 2026-03-30 v1

Abstract

This paper was originally written by the authors circa 2005 but was never submitted for publication. The present version corrects minor errors, adds references to work published since the original draft, and includes a section discussing further research directions. The core framework -- the property function ψG\psi_G, the density function φμψ\varphi^\psi_\mu, and all threshold results -- is unchanged from the original.

Cite

@article{arxiv.2603.26518,
  title  = {Monotone Property Thresholds},
  author = {Colton Magnant and Thor Whalen},
  journal= {arXiv preprint arXiv:2603.26518},
  year   = {2026}
}

Comments

17 pages, 3 figures. Originally written circa 2005; first posted to arXiv 2026

R2 v1 2026-07-01T11:40:59.892Z