我正在寻找一个非二叉树的非递归深度优先搜索算法。任何帮助都非常感激。


当前回答

如果你有指向父节点的指针,你可以在没有额外内存的情况下完成。

def dfs(root):
    node = root
    while True:
        visit(node)
        if node.first_child:
            node = node.first_child      # walk down
        else:
            while not node.next_sibling:
                if node is root:
                    return
                node = node.parent       # walk up ...
            node = node.next_sibling     # ... and right

注意,如果子节点存储为数组而不是通过兄弟指针,那么下一个兄弟节点可以通过以下方式找到:

def next_sibling(node):
    try:
        i =    node.parent.child_nodes.index(node)
        return node.parent.child_nodes[i+1]
    except (IndexError, AttributeError):
        return None

其他回答

你可以使用堆栈。我用邻接矩阵实现了图:

void DFS(int current){
    for(int i=1; i<N; i++) visit_table[i]=false;
    myStack.push(current);
    cout << current << "  ";
    while(!myStack.empty()){
        current = myStack.top();
        for(int i=0; i<N; i++){
            if(AdjMatrix[current][i] == 1){
                if(visit_table[i] == false){ 
                    myStack.push(i);
                    visit_table[i] = true;
                    cout << i << "  ";
                }
                break;
            }
            else if(!myStack.empty())
                myStack.pop();
        }
    }
}

基于biziclops的ES6实现很棒的答案:

root = { text: "root", children: [{ text: "c1", children: [{ text: "c11" }, { text: "c12" }] }, { text: "c2", children: [{ text: "c21" }, { text: "c22" }] }, ] } console.log("DFS:") DFS(root, node => node.children, node => console.log(node.text)); console.log("BFS:") BFS(root, node => node.children, node => console.log(node.text)); function BFS(root, getChildren, visit) { let nodesToVisit = [root]; while (nodesToVisit.length > 0) { const currentNode = nodesToVisit.shift(); nodesToVisit = [ ...nodesToVisit, ...(getChildren(currentNode) || []), ]; visit(currentNode); } } function DFS(root, getChildren, visit) { let nodesToVisit = [root]; while (nodesToVisit.length > 0) { const currentNode = nodesToVisit.shift(); nodesToVisit = [ ...(getChildren(currentNode) || []), ...nodesToVisit, ]; visit(currentNode); } }

Java中的DFS迭代:

//DFS: Iterative
private Boolean DFSIterative(Node root, int target) {
    if (root == null)
        return false;
    Stack<Node> _stack = new Stack<Node>();
    _stack.push(root);
    while (_stack.size() > 0) {
        Node temp = _stack.peek();
        if (temp.data == target)
            return true;
        if (temp.left != null)
            _stack.push(temp.left);
        else if (temp.right != null)
            _stack.push(temp.right);
        else
            _stack.pop();
    }
    return false;
}

你可以使用一个堆栈来保存尚未访问的节点:

stack.push(root)
while !stack.isEmpty() do
    node = stack.pop()
    for each node.childNodes do
        stack.push(stack)
    endfor
    // …
endwhile

http://www.youtube.com/watch?v=zLZhSSXAwxI

刚刚看了这个视频,并提出了实施方案。这对我来说似乎很容易理解。请评论一下。

visited_node={root}
stack.push(root)
while(!stack.empty){
  unvisited_node = get_unvisited_adj_nodes(stack.top());
  If (unvisited_node!=null){
     stack.push(unvisited_node);  
     visited_node+=unvisited_node;
  }
  else
     stack.pop()
}