Clone an undirected graph. Each node in the graph contains a label
and
a list of its neighbors
.
Nodes are labeled uniquely.
We use#
as a separator for each node, and ,
as
a separator for node label and each neighbor of the node.
As an example, consider the serialized graph {0,1,2#1,2#2,2}
.
The graph has a total of three nodes, and therefore contains three parts as separated by #
.
- First node is labeled as
0
. Connect node0
to both nodes1
and2
. - Second node is labeled as
1
. Connect node1
to node2
. - Third node is labeled as
2
. Connect node2
to node2
(itself), thus forming a self-cycle.
Visually, the graph looks like the following:
1 / \ / \ 0 --- 2 / \ \_/
Java:
新的DFS:http://rleetcode.blogspot.com/2014/01/clone-graph-java.html
/**
* Definition for undirected graph.
* class UndirectedGraphNode {
* int label;
* List<UndirectedGraphNode> neighbors;
* UndirectedGraphNode(int x) { label = x; neighbors = new ArrayList<UndirectedGraphNode>(); }
* };
*/
public class Solution {
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) {
//DFS;
if(node==null) return null;
HashMap<Integer,UndirectedGraphNode> map= new HashMap<Integer,UndirectedGraphNode>();
return clone(node,map);
}
private UndirectedGraphNode clone(UndirectedGraphNode node, HashMap<Integer,UndirectedGraphNode> map){
if(map.containsKey(node.label))
{
return map.get(node.label);
}
UndirectedGraphNode newNode= new UndirectedGraphNode(node.label);
map.put(node.label,newNode);
for(UndirectedGraphNode nei : node.neighbors)
{
newNode.neighbors.add(clone(nei,map));
}
return newNode;
}
}
http://blog.youkuaiyun.com/linhuanmars/article/details/22715747
广度优先:
定义一个队列用来存每层每个节点的邻居,定义一个hashmap存<原图,复制>的键值对。
外层循环检查队列是否为空,内层循环遍历每个节点的所有邻居
/**
* Definition for undirected graph.
* class UndirectedGraphNode {
* int label;
* List<UndirectedGraphNode> neighbors;
* UndirectedGraphNode(int x) { label = x; neighbors = new ArrayList<UndirectedGraphNode>(); }
* };
*/
public class Solution {
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) {
if(node==null) return null;
LinkedList<UndirectedGraphNode> queue= new LinkedList<UndirectedGraphNode>();
HashMap<UndirectedGraphNode, UndirectedGraphNode> map= new HashMap<UndirectedGraphNode, UndirectedGraphNode>();
UndirectedGraphNode copy= new UndirectedGraphNode(node.label);
map.put(node, copy);
queue.offer(node);
while(!queue.isEmpty())
{
UndirectedGraphNode cur=queue.poll();
for(int i=0;i<cur.neighbors.size();i++)
{
if(!map.containsKey(cur.neighbors.get(i)))
{
copy = new UndirectedGraphNode(cur.neighbors.get(i).label);
map.put(cur.neighbors.get(i),copy);
queue.offer(cur.neighbors.get(i));
}
map.get(cur).neighbors.add(map.get(cur.neighbors.get(i)));
}
}
return map.get(node);
}
}
深度优先:就是queue换成stack
public class Solution {
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) {
if(node==null) return null;
LinkedList<UndirectedGraphNode> stack= new LinkedList<UndirectedGraphNode>();
HashMap<UndirectedGraphNode, UndirectedGraphNode> map= new HashMap<UndirectedGraphNode, UndirectedGraphNode>();
UndirectedGraphNode copy= new UndirectedGraphNode(node.label);
map.put(node, copy);
stack.push(node);
while(!stack.isEmpty())
{
UndirectedGraphNode cur=stack.pop();
for(int i=0;i<cur.neighbors.size();i++)
{
if(!map.containsKey(cur.neighbors.get(i)))
{
copy = new UndirectedGraphNode(cur.neighbors.get(i).label);
map.put(cur.neighbors.get(i),copy);
stack.push(cur.neighbors.get(i));
}
map.get(cur).neighbors.add(map.get(cur.neighbors.get(i)));
}
}
return map.get(node);
}
}
深度优先-递归: 把 for循环提出来
public class Solution {
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) {
if(node==null) return null;
LinkedList<UndirectedGraphNode> stack= new LinkedList<UndirectedGraphNode>();
HashMap<UndirectedGraphNode, UndirectedGraphNode> map= new HashMap<UndirectedGraphNode, UndirectedGraphNode>();
UndirectedGraphNode copy= new UndirectedGraphNode(node.label);
map.put(node, copy);
help(node, map);
return copy;
}
private void help(UndirectedGraphNode node, HashMap<UndirectedGraphNode, UndirectedGraphNode> map)
{
for(int i=0;i<node.neighbors.size();i++)
{
UndirectedGraphNode cur=node.neighbors.get(i);
if(!map.containsKey(cur))
{
UndirectedGraphNode copy = new UndirectedGraphNode(cur.label);
map.put(cur,copy);
help(cur, map);
}
map.get(node).neighbors.add(map.get(cur));
}
}
}