LintCode - Route Between Two Nodes in Graph


http://www.lintcode.com/en/problem/route-between-two-nodes-in-graph/
Given a directed graph, design an algorithm to find out whether there is a route between two nodes.
Example
Given graph:
A----->B----->C
 \     |
  \    |
   \   |
    \  v
     ->D----->E
for s = B and t = E, return true
for s = D and t = C, return false
X. DFS
https://www.kancloud.cn/kancloud/data-structure-and-algorithm-notes/73092
检测图中两点是否通路,图搜索的简单问题,DFS 或者 BFS 均可,注意检查是否有环即可。这里使用哈希表记录节点是否被处理较为方便。深搜时以起点出发,递归处理其邻居节点,需要注意的是处理邻居节点的循环时不是直接 return, 而只在找到路径为真时才返回 true, 否则会过早返回 false 而忽略后续可能满足条件的路径。
http://www.cnblogs.com/EdwardLiu/p/5104283.html
 3  * class DirectedGraphNode {
 4  *     int label;
 5  *     ArrayList<DirectedGraphNode> neighbors;
 6  *     DirectedGraphNode(int x) {
 7  *         label = x;
 8  *         neighbors = new ArrayList<DirectedGraphNode>();
 9  *     }
10  * };

19     public boolean hasRoute(ArrayList<DirectedGraphNode> graph, 
20                             DirectedGraphNode s, DirectedGraphNode t) {
21         // write your code here
22         HashSet<DirectedGraphNode> visited = new HashSet<DirectedGraphNode>();
       visited.add(s);
23         return dfs(s, t, visited);
24     }
25     
26     public boolean dfs(DirectedGraphNode s, DirectedGraphNode t, HashSet<DirectedGraphNode> visited) {
27         if (s == t) return true;
28         for (DirectedGraphNode neighbor : s.neighbors) {
29             if (!visited.contains(neighbor)) {
30                 visited.add(s);
31                 if (dfs(neighbor, t, visited))
32                     return true;
33             }
34         }
35         return false;
36     }

X. BFS
们也可以采用 BFS 结合队列处理,优点是不会爆栈,缺点是空间复杂度稍高和实现复杂点。
 8     public boolean hasRoute(ArrayList<DirectedGraphNode> graph, 
 9                             DirectedGraphNode s, DirectedGraphNode t) {
10         // write your code here
11         HashSet<DirectedGraphNode> visited = new HashSet<DirectedGraphNode>();
12         LinkedList<DirectedGraphNode> queue = new LinkedList<DirectedGraphNode>();
13         if (s == t) return true;
14         queue.offer(s);
15         visited.add(s);
16         while (!queue.isEmpty()) {
17             DirectedGraphNode cur = queue.poll();
18             for (DirectedGraphNode neighbor : cur.neighbors) {
19                 if (neighbor == t) return true;
20                 if (visited.contains(neighbor)) continue;
21                 visited.add(neighbor);
22                 queue.offer(neighbor);
23             }
24         }
25         return false;
26     }
https://codesolutiony.wordpress.com/2015/05/13/lintcode-route-between-two-nodes-in-graph/


用recursive最后一个case会超时,因此用iterative
    public boolean hasRoute(ArrayList<DirectedGraphNode> graph,
                            DirectedGraphNode s, DirectedGraphNode t) {
        if (s == t) {
            return true;
        }
        if (graph == null || graph.size() == 0 || s == null || t == null) {
            return false;
        }
        Set<DirectedGraphNode> visited = new HashSet<DirectedGraphNode>();
        Stack<DirectedGraphNode> stack = new Stack<DirectedGraphNode>();
        stack.push(s);
        while (!stack.isEmpty()) {
            DirectedGraphNode node = stack.pop();
            if (visited.contains(node)) {
                continue;
            }
            visited.add(node);
            for (DirectedGraphNode neighbor : node.neighbors) {
                if (neighbor == t) {
                    return true;
                }
                stack.push(neighbor);
            }
        }
        return false;
    }
https://wxx5433.gitbooks.io/interview-preparation/content/part_ii_leetcode_lintcode/searching/route_between_two_nodes_in_graph.html

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