English

Asymptotic enumeration of Eulerian circuits for graphs with strong mixing properties

Combinatorics 2015-06-11 v2

Abstract

We prove an asymptotic formula for the number of Eulerian circuits for graphs with strong mixing properties and with vertices having even degrees. The exact value is determined up to the multiplicative error O(n1/2+ε)O(n^{-1/2+\varepsilon}), where nn is the number of vertices

Keywords

Cite

@article{arxiv.1210.2491,
  title  = {Asymptotic enumeration of Eulerian circuits for graphs with strong mixing properties},
  author = {Mikhail Isaev},
  journal= {arXiv preprint arXiv:1210.2491},
  year   = {2015}
}