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 #
.
0
. Connect node 0
to both nodes 1
and 2
.1
. Connect node 1
to node 2
.2
. Connect node 2
to node 2
(itself), thus forming a self-cycle.Visually, the graph looks like the following:
1 / \ / \ 0 --- 2 / \ \_/
Analysis:
如果想在一次遍历中,完成拷贝的话,那就需要使用额外的内存来使用map存储源节点和拷贝节点之间的对应关系。有了这个关系之后,在遍历图的过程中,就可以同时处理访问节点及访问节点的拷贝节点,一次完成。
Java
public UndirectedGraphNode cloneGraph(UndirectedGraphNode node) { if (node==null){ return null; } HashMap<Integer, UndirectedGraphNode> checker=new HashMap<Integer, UndirectedGraphNode>(); return clone(node, checker); } private UndirectedGraphNode clone (UndirectedGraphNode node, HashMap<Integer, UndirectedGraphNode> checker){ if (checker.containsKey(node.label)){ return checker.get(node.label); } UndirectedGraphNode newNode=new UndirectedGraphNode(node.label); checker.put(newNode.label,newNode); for (UndirectedGraphNode tempNode: node.neighbors){ newNode.neighbors.add(clone(tempNode, checker)); } return newNode; }
UndirectedGraphNode *cloneGraph(UndirectedGraphNode *node) { if(node == NULL) return NULL; unordered_map<UndirectedGraphNode *, UndirectedGraphNode *>nodeMap; queue<UndirectedGraphNode *> visit; visit.push(node); UndirectedGraphNode * nodeCopy = new UndirectedGraphNode(node->label); nodeMap[node] = nodeCopy; while(visit.size()>0){ UndirectedGraphNode * cur = visit.front(); visit.pop(); for(int i=0; i<cur->neighbors.size();i++){ UndirectedGraphNode *neighb = cur->neighbors[i]; if(nodeMap.find(neighb) == nodeMap.end()){ UndirectedGraphNode *neighCopy = new UndirectedGraphNode(neighb->label); nodeMap[cur]->neighbors.push_back(neighCopy); nodeMap[neighb] = neighCopy; visit.push(neighb); }else{ nodeMap[cur]->neighbors.push_back(nodeMap[neighb]); } } } return nodeCopy; }