Class DirectedEulerianPath

  • public class DirectedEulerianPath
    extends Object
    The DirectedEulerianPath class represents a data type for finding an Eulerian path in a digraph. An Eulerian path is a path (not necessarily simple) that uses every edge in the digraph exactly once.

    This implementation uses a nonrecursive depth-first search. The constructor take Θ(E + V) time in the worst case, where E is the number of edges and V is the number of vertices. It uses Θ(V) extra space (not including the digraph).

    To compute Eulerian cycles in digraphs, see DirectedEulerianCycle. To compute Eulerian cycles and paths in undirected graphs, see EulerianCycle and EulerianPath.

    For additional documentation, see Section 4.2 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

    Robert Sedgewick, Kevin Wayne, Nate Liu
    • Constructor Detail

      • DirectedEulerianPath

        public DirectedEulerianPath​(Digraph G)
        Computes an Eulerian path in the specified digraph, if one exists.
        G - the digraph
    • Method Detail

      • path

        public Iterable<Integer> path()
        Returns the sequence of vertices on an Eulerian path.
        the sequence of vertices on an Eulerian path; null if no such path
      • hasEulerianPath

        public boolean hasEulerianPath()
        Returns true if the digraph has an Eulerian path.
        true if the digraph has an Eulerian path; false otherwise
      • main

        public static void main​(String[] args)
        Unit tests the DirectedEulerianPath data type.
        args - the command-line arguments