A. N. Trahtman, “The Road Coloring Problem,” Israel Journal of Mathematics, Vol. 172, No. 1, 2009, pp. 51- 60. doi:10.1007/s11856-009-0062-5

has been cited by the following article:

• TITLE: Some New Features and Algorithms for the Study of DFA

  AUTHORS: Avraham N. Trahtman

  KEYWORDS: Finite Automaton; Synchronizing Word; Algorithm; Visualization

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.2 No.2, April 27, 2012

  ABSTRACT: The work presents some new algorithms realized recently in the package TESTAS. The package decides whether or not DFA is synchronizing, several procedures find relatively short synchronizing words and a synchronizing word of the minimal length. We check whether or not a directed graph has a road coloring that turns the graph into a synchronizing deterministic finite automaton (DFA). The algorithm finds the coloring if it exists. Otherwise, the k-synchronizing road coloring can be found. We use a linear visualization of the graph of an automaton based on its structural properties.