无向图的连通子图

找出无向图中所有的连通子图

1 图的数据如下

0 5
4 3
0 1
9 12
6 4
5 4
0 2
11 12
9 10
0 6
7 8
9 11
5 3

2 C++代码如下

/*
 * CC.h
 *
 *  Created on: 2014年6月3日
 *      Author: zhongchao
 *      计算无向图中的连通分量
 */

#ifndef _CC_
#define _CC_

#include "Graph.h"
class CC
{
private:
		bool* mark;
		int* _id;
		int num;
		Graph* _graph;
		hash_set<int> nodes;
public:
		CC(Graph* graph, int n);
		~CC();
		bool connected(int a, int b); //节点a和b是否在同一连同子图中
		int count();
		int id(int a); //节点a所属于的连同子图的索引
		void dfs(Graph* graph, int n);
		void printAllCC();
};
void dfsTest();

#endif /* _CC_*/

/*
 * CC.cpp
 *
 *  Created on: 2014年6月3日
 *      Author: zhongchao
 */
/*
 * DFS.cpp
 *
 *  Created on: 2014年6月1日
 *      Author: zhongchao
 */
#include "CC.h"
CC::CC(Graph* graph, int n): _graph(graph),num(0)
{
		mark = new bool[graph->v()];
		for(int i = 0; i < graph->v(); i++)
		{
				mark[i] = false;
		}
		_id = new int[graph->v()];
		hash_set<int> nodes =  graph->getNodes();
		for(hash_set<int>::iterator it = nodes.begin(); it != nodes.end(); it++)
		{
				if(mark[*it] != true)
				{
						dfs(graph, *it);
						num++;
				}
		}

}

void CC::dfs(Graph* graph, int n)
{
		mark[n] = true;
		_id[n] = num;
		vector<int> ns = graph->getEdges(n);
		for(vector<int>::iterator it = ns.begin(); it != ns.end(); it++)
		{
				if(mark[*it] == true) continue;
				dfs(graph, *it);
		}
}
bool CC::connected(int a, int b)
{
		return _id[a] == _id[b];
}
int CC::id(int a)
{
		return _id[a];
}
void CC::printAllCC()
{
		hash_set<int> nodes = _graph->getNodes();
		for(hash_set<int>::iterator it = nodes.begin(); it != nodes.end(); it++)
		{
				cout<<*it<<" belong to "<<_id[*it]<<endl;
		}
}
int CC::count()
{
		return num;
}
CC::~CC()
{
		delete[] mark;
}
void ccTest()
{
		string path("/home/zhongchao/worksapce/cpp/ComputeAlgorithms/data/tinyG.txt");
		Graph* graph = new Graph(path);
		int n = 0;
		CC* cc = new CC(graph, n);
		cc->printAllCC();
}

/*
 * Run.cpp
 *
 *  Created on: 2014年5月25日
 *      Author: zhongchao
 */

#include "Graph.h"
#include "Prim.h"
#include "Dijkstra.h"
#include "DFS.h"
#include "BFS.h"
#include "CC.h"

void bfsTest();
void dfsTest();
void ccTest();
void dfsTopological();

int main(int argc, char** argv)
{
	ccTest();
	return 1;
}

3 连通子图如下

0 belong to 0
1 belong to 0
2 belong to 0
3 belong to 0
4 belong to 0
5 belong to 0
6 belong to 0
7 belong to 1
8 belong to 1
9 belong to 2
10 belong to 2
11 belong to 2
12 belong to 2