6-19 Count Connected Components(20 分)

Write a function to count the number of connected components in a given graph.

Format of functions:

int CountConnectedComponents( LGraph Graph );

where LGraph is defined as the following:

typedef struct AdjVNode *PtrToAdjVNode;
struct AdjVNode{
Vertex AdjV;
PtrToAdjVNode Next;
}; typedef struct Vnode{
PtrToAdjVNode FirstEdge;
} AdjList[MaxVertexNum]; typedef struct GNode *PtrToGNode;
struct GNode{
int Nv;
int Ne;
AdjList G;
};
typedef PtrToGNode LGraph;

The function CountConnectedComponents is supposed to return the number of connected components in the undirected Graph.

Sample program of judge:

#include <stdio.h>
#include <stdlib.h> typedef enum {false, true} bool;
#define MaxVertexNum 10 /* maximum number of vertices */
typedef int Vertex; /* vertices are numbered from 0 to MaxVertexNum-1 */ typedef struct AdjVNode *PtrToAdjVNode;
struct AdjVNode{
Vertex AdjV;
PtrToAdjVNode Next;
}; typedef struct Vnode{
PtrToAdjVNode FirstEdge;
} AdjList[MaxVertexNum]; typedef struct GNode *PtrToGNode;
struct GNode{
int Nv;
int Ne;
AdjList G;
};
typedef PtrToGNode LGraph; LGraph ReadG(); /* details omitted */ int CountConnectedComponents( LGraph Graph ); int main()
{
LGraph G = ReadG();
printf("%d\n", CountConnectedComponents(G)); return 0;
} /* Your function will be put here */

Sample Input (for the graph shown in the figure):

6-19 Count Connected Components(20 分)

8 6
0 7
0 1
2 0
4 1
2 4
3 5

Sample Output:

3
找图的连通分支 代码:
int CountConnectedComponents( LGraph Graph )
{
int vis[MaxVertexNum] = {};
int c = ;
for(int i = ;i < Graph -> Nv;i ++)
{
if(vis[i] == )
{
c ++;
vis[i] = ;
PtrToAdjVNode t;
int head = ,tail = ;
int s[];
s[tail ++] = i;
while(head < tail)
{
t = Graph -> G[s[head]].FirstEdge;
while(t)
{
if(!vis[t->AdjV])
{
vis[t->AdjV] = ;
s[tail ++] = t -> AdjV;
}
t = t -> Next;
}
head ++;
}
}
}
return c;
}
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