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    [原]LeetCode -- Clone Graph

    csharp25发表于 2015-11-29 22:18:57
    love 0
    题目描述:


    Clone an undirected graph. Each node in the graph contains a label and a list of its neighbors.


    就是对一个图进行复制。


    思路:
    图遍历可以DFS或BFS,两种方式都可以,下面的解法是DFS的递归方式。当然,也可以用队列+哈希表使用BFS完成。


    1. 在哈希表hash添加图的首节点source,和复制节点cloned(拷贝label)。
    2. 复制过程:
    2.1 如果source有neighbors,遍历neighbors,对于每个neighbors[i],判断是否在哈希存在,如果不存在,添加一份neighbor[i]的复制到哈希表中,进入递归;
    2.2 如果已经存在,或者完成了2.1的复制步骤,将这个neighbor复制到当前map[source]对应的邻居列表中。即map[source].neighbors.Add(map[neighbor[i]])


    实现代码:



    /**
     * Definition for undirected graph.
     * public class UndirectedGraphNode {
     *     public int label;
     *     public IList<UndirectedGraphNode> neighbors;
     *     public UndirectedGraphNode(int x) { label = x; neighbors = new List<UndirectedGraphNode>(); }
     * };
     */
    public class Solution {
        public UndirectedGraphNode CloneGraph(UndirectedGraphNode node) 
        {
            if(node == null){
                return null;
            }
    		
    		// use a map saving source - cloned node
            var map = new Dictionary<UndirectedGraphNode, UndirectedGraphNode>();
    		
    		// put root of source - cloned node into map
    		var cloned = new UndirectedGraphNode(node.label);
    		map.Add(node, cloned);
    		
    		Clone(node, ref map);
    		
            return cloned;
        }
    	
        private void Clone(UndirectedGraphNode source, ref Dictionary<UndirectedGraphNode, UndirectedGraphNode> map)
        {
            for(var i = 0;i < source.neighbors.Count; i++){
                var n = source.neighbors[i];
                if(!map.ContainsKey(n))
    			{
                    map.Add(n, new UndirectedGraphNode(n.label));
                    Clone(n, ref map);
                }
    			map[source].neighbors.Add(map[n]); 
            }
        }
    	
    }




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