Clone an undirected graph. Each node in the graph contains a label and a list of itsneighbors.
OJ's undirected graph serialization:
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 node0to both nodes1and2. - Second node is labeled as
1. Connect node1to node2. - Third node is labeled as
2. Connect node2to node2(itself), thus forming a self-cycle.
Visually, the graph looks like the following:
1
/ \
/ \
0 --- 2
/ \
\_/
When comes to graph, usually comes with a mess. Actually graph is not that complicated.
This problem is a good one to dissolve the fear.
// this is to use BFS.
UndirectedGraphNode *cloneGraph(UndirectedGraphNode *node) {
if(!node) return NULL;
unordered_map<UndirectedGraphNode*, UndirectedGraphNode*> hashMap;
hashMap.insert({node, new UndirectedGraphNode(node->label)});
queue<UndirectedGraphNode*> nodes;
nodes.push(node);
while(!nodes.empty()) {
auto v = nodes.front();
nodes.pop();
for(UndirectedGraphNode* e : v->neighbors) {
if(hashMap.find(e) == hashMap.end()) {
hashMap.insert({e, new UndirectedGraphNode(e->label)});
nodes.push(e);
}
(hashMap[v]->neighbors).push_back(hashMap[e]);
}
}
return hashMap[node];
}It can also be done using dfs.
void dfs(unordered_map<UndirectedGraphNode*, UndirectedGraphNode*> hashMap, UndirectedGraphNode* node) {
if(!node) return;
for(auto e : node->neighbors) {
if(hashMap.find(e) == hashMap.end()) {
hashMap[e] = new UndirectedGraphNode(e->val);
dfs(hashMap, e);
}
hashMap[e]->neighbors.push_back(hashMap[e]);
}
}
UndirectedGraphNode* cloneGraph(UndirectedGraphNode* node) {
if(!root) return NULL;
unordered_map<UndirectedGraphNode*, UndirectedGraphNode*> hashMap;
UndirectedGraphNod* head = new UndirectedGraphNode(node->val);
hashMap.insert({node, head});
dfs(hashMap, node);
return head;
}

本文介绍了一种无向图的克隆算法,通过BFS和DFS两种方式实现节点及其邻居的复制。解决了图复制中节点唯一性和邻居关系保持的问题。
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