English

Existential monadic second order convergence law fails on sparse random graphs

Combinatorics 2019-09-10 v3

Abstract

In the paper, we prove that existential monadic second order convergence law fails for the binomial random graph G(n,nα)G(n,n^{-\alpha}) for every α(0,1)\alpha\in(0,1).

Cite

@article{arxiv.1808.03970,
  title  = {Existential monadic second order convergence law fails on sparse random graphs},
  author = {Alena Egorova and Maksim Zhukovskii},
  journal= {arXiv preprint arXiv:1808.03970},
  year   = {2019}
}
R2 v1 2026-06-23T03:31:22.058Z