English

Extension of zero-one k-law

Probability 2013-04-04 v1 Combinatorics

Abstract

We study an asymptotic behavior of the probabilities of first-order properties of random graph G(N,p) in the article. We conider p such that lnp=-alnN, a>0. We find values of parameter a from (1-exp(ln2(1-k)),1) such that the random graph obeys zero-one k-law.

Keywords

Cite

@article{arxiv.1304.0900,
  title  = {Extension of zero-one k-law},
  author = {M. E. Zhukovskii},
  journal= {arXiv preprint arXiv:1304.0900},
  year   = {2013}
}

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in Russian

R2 v1 2026-06-21T23:52:53.054Z