Topological Sorting

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Given an directed graph, a topological order of the graph nodes is defined as follow:

For each directed edge A -> B in graph, A must before B in the order list.
The first node in the order can be any node in the graph with no nodes direct to it.
Find any topological order for the given graph.

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Example
For graph as follow:

picture

The topological order can be:

[0, 1, 2, 3, 4, 5]
[0, 2, 3, 1, 5, 4]

/** * Definition for Directed graph. * class DirectedGraphNode { *     int label; *     ArrayList<DirectedGraphNode> neighbors; *     DirectedGraphNode(int x) { label = x; neighbors = new ArrayList<DirectedGraphNode>(); } * }; */public class Solution {    /**     * @param graph: A list of Directed graph node     * @return: Any topological order for the given graph.     */        public ArrayList<DirectedGraphNode> topSort(ArrayList<DirectedGraphNode> graph) {        // write your code here        ArrayList<DirectedGraphNode> result = new ArrayList<DirectedGraphNode>();        HashMap<DirectedGraphNode, Integer> map = new HashMap();//hash  表        for (DirectedGraphNode node : graph) {            for (DirectedGraphNode neighbor : node.neighbors) {                if (map.containsKey(neighbor)) {                    map.put(neighbor, map.get(neighbor) + 1);                } else {                    map.put(neighbor, 1);                 }            }        }        Queue<DirectedGraphNode> q = new LinkedList<DirectedGraphNode>();        for (DirectedGraphNode node : graph) {            if (!map.containsKey(node)) {                q.offer(node);                result.add(node);            }        }        while (!q.isEmpty()) {     //队列            DirectedGraphNode node = q.poll();            for (DirectedGraphNode n : node.neighbors) {                map.put(n, map.get(n) - 1);                if (map.get(n) == 0) {//入度为零时  弹出                    result.add(n);                    q.offer(n);                }            }        }        return result;    }}
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