English

The Cerny conjecture for one-cluster automata with prime length cycle

Formal Languages and Automata Theory 2010-05-12 v1 Combinatorics

Abstract

We prove the Cerny conjecture for one-cluster automata with prime length cycle. Consequences are given for the hybrid Road-coloring-Cerny conjecture for digraphs with a proper cycle of prime length.

Keywords

Cite

@article{arxiv.1005.1835,
  title  = {The Cerny conjecture for one-cluster automata with prime length cycle},
  author = {Benjamin Steinberg},
  journal= {arXiv preprint arXiv:1005.1835},
  year   = {2010}
}