Class DepthFirstPaths


  • public class DepthFirstPaths
    extends Object
    The DepthFirstPaths class represents a data type for finding paths from a source vertex s to every other vertex in an undirected graph.

    This implementation uses depth-first search. The constructor takes Θ(V + E) time in the worst case, where V is the number of vertices and E is the number of edges. Each instance method takes Θ(1) time. It uses Θ(V) extra space (not including the graph).

    For additional documentation, see Section 4.1 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

    Author:
    Robert Sedgewick, Kevin Wayne
    • Constructor Detail

      • DepthFirstPaths

        public DepthFirstPaths​(Graph G,
                               int s)
        Computes a path between s and every other vertex in graph G.
        Parameters:
        G - the graph
        s - the source vertex
        Throws:
        IllegalArgumentException - unless 0 <= s < V
    • Method Detail

      • hasPathTo

        public boolean hasPathTo​(int v)
        Is there a path between the source vertex s and vertex v?
        Parameters:
        v - the vertex
        Returns:
        true if there is a path, false otherwise
        Throws:
        IllegalArgumentException - unless 0 <= v < V
      • pathTo

        public Iterable<Integer> pathTo​(int v)
        Returns a path between the source vertex s and vertex v, or null if no such path.
        Parameters:
        v - the vertex
        Returns:
        the sequence of vertices on a path between the source vertex s and vertex v, as an Iterable
        Throws:
        IllegalArgumentException - unless 0 <= v < V
      • main

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