今天写clone Graph的的DFS实现方法,这部分采用递归来实现
DFS(Dpeth-first Search)
顾名思义,就是深度搜索,一条路走到黑,再选新的路。
递归写法的DFS伪代码如下:
Input: A graph G and a root v of G
procedure DFS(G,v):
label v as discovered
for all edges from v to w in G.adjacentEdges(v) do
if vertex w is not labeled as discovered then
recursively call DFS(G,w)
用DFS递归实现CloneGraph代码为:
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node){
if(node == null){
return node;
}
//采用hashmap来保存复制图
HashMap<UndirectedGraphNode,UndirectedGraphNode> mapping = new HashMap<>();
//新建一个节点,这里不可以直接引用
UndirectedGraphNode head = new UndirectedGraphNode(node.label);
//复制第一个跟节点
mapping.put(node, head);
//DFS递归实现复制
DFS(mapping,node);
return head;
}
public void DFS(HashMap<UndirectedGraphNode,UndirectedGraphNode> mapping,UndirectedGraphNode node){
if(node == null){
return;
}
for(UndirectedGraphNode aneighbor : node.neighbors){ //从根节点的邻居开始遍历
if(!mapping.containsKey(aneighbor)){
UndirectedGraphNode newneighbor = new UndirectedGraphNode(aneighbor.label);
mapping.put(aneighbor, newneighbor);//复制邻居节点
//mapping.get(node).neighbors.add(mapping.get(aneighbor));
//注释掉的这句话不可以写里面是因为如果是{0,0,0}则因0已存在导致直接无法复制邻居节点
}
mapping.get(node).neighbors.add(mapping.get(aneighbor));
//添加邻居关系,注意这里的mapping.get(node)里面不可以为aneighbor,
//与BFS区分开要,如果BFS使用node则是将所有节点的邻居都复制给第一个head
//这里因为是递归每次传入的都是应当前的主节点而不是他的邻居
}
}