English

On infinite spectra of first order properties of random graphs

Combinatorics 2016-09-06 v1

Abstract

In this paper, we study spectra of first order properties of Erdos-Renyi random graph. We proved that minimal quantifier depth of a formula with an infinite spectrum is either 4 or 5.

Keywords

Cite

@article{arxiv.1609.01115,
  title  = {On infinite spectra of first order properties of random graphs},
  author = {M. E. Zhukovskii},
  journal= {arXiv preprint arXiv:1609.01115},
  year   = {2016}
}