recursive implementation of Depth first search to find path from source to destination in Java

问题

I have this working code for finding path between source to destination non-recursively. I would like to implement recursively, but I am having difficulty in how to do it.

This is my code for non-recursive implementation

public boolean depthFirstSearch(String name1, String name2){
        Vertex source = vertexMap.get(name1);
        Vertex dest = vertexMap.get(name2);
        clearAll();

        Stack<Vertex> stack = new Stack<Vertex>();
        source.setVisited(true);
        stack.push(source);

        while(!stack.isEmpty()){
            source = stack.peek();
            System.out.println(source.name);
            if (dest.name.equals(source.name))
                return true;
            Vertex v = adjacentUnvisitedVertex(source);
            if (v!=null){
                v.setVisited(true);
                v.prev=source;
                stack.push(v);
            }
            else stack.pop();   
        }
        if (!source.name.equals(dest.name)){
            System.out.println("destination cannot be reached");
            return true;
        }
        else return false;
    }

    private Vertex adjacentUnvisitedVertex(Vertex v){

        for (Edge e : v.adj){
            if (!e.target.isVisited){
                return e.target;
            }
        }

       return null;
    }

while a simple DFS recursive implementation is here, that visit all nodes:

static void dfs (Graphnode n) {
   n.setVisited( true );
   Iterator it = n.getSuccessors().iterator();
   while (it.hasNext()) {
      Graphnode m = (Graphnode)it.next();
      if (! m.getVisited()) dfs(m);
   }
}

I would like to implement for finding path between two nodes A and B. so the dfs would take two nodes and find path between recursively.

Thanks

回答1:

The places where you do stack.push() seem to be natural places for the recursive calls. pop() should probably corresponds to returning with false as the result.

But maybe it's more straightforward to convert the recursive dfs() function into the function you need:

Convert dfs() to your target data structure (Graphnode -> Vertex, Iterator... -> while(adjacentUnvisitedVertex(...) etc.). Check if it works with System.out.println(). This might be the hardest part. If you get stuck there, post the output here.
Just add a dest parameter and the check if the nodes match (return true in this case, false after the loop otherwise). Make sure you check the result of the recursive dfs() call in the loop and return true if it has found the element.

来源：https://stackoverflow.com/questions/20084632/recursive-implementation-of-depth-first-search-to-find-path-from-source-to-desti

标签

algorithm

recursion

graph

path

depth-first-search