深度优先遍历算法的非递归实现需要了解深度优先遍历的执行过程,设计一个栈来模拟递归实现中系统设置的工作栈,算法的伪代码描述为:

假设图采用邻接矩阵作为存储结构,具体算法如下:

#include<iostream>
#include <queue>
using namespace std;
#define MAX_NODE 12
bool visited[MAX_NODE] ;
int stack[ MAX_NODE] ;
queue<int> q;
int Matric[MAX_NODE][MAX_NODE] =
{
{-1,1,1,0,0,0,0,0,0,0,0,0},
{1,-1,1,0,1,1,0,0,0,0,0,0},
{1,1,-1,1,0,0,0,0,0,0,0,0},
{0,0,1,-1,1,0,0,0,0,0,1,1},
{0,1,0,1,-1,0,0,0,0,0,0,0},
{0,1,0,0,0,-1,0,0,0,0,1,0},
{0,0,0,0,0,0,-1,1,1,1,0,0},
{0,0,0,0,0,0,1,-1,0,0,0,0},
{0,0,0,0,0,0,1,0,-1,1,1,0},
{0,0,0,0,0,0,1,0,1,-1,0,1},
{0,0,0,1,0,1,0,0,1,0,-1,0},
{0,0,0,1,0,0,0,0,0,1,0,-1},
};
void DFS( int v)
{
cout << " v"<< v ;
int top = -1 ;
visited[v] = true ;
stack[++top] = v ;
while ( top != -1)
{
v = stack[top] ;
for (int i = 0 ; i < MAX_NODE ; i++)
{
if (Matric[v][i] == 1 &&!visited[i])
{
cout << " v" << i ;
visited[i] = true ;
stack[ ++top ] = i ;
break ;
}
}
if( i == MAX_NODE)
{
top -- ;
}
}
}
void BFS( int v)
{
int node = 0;
q.push(v);
visited[v] = true;
while( !q.empty())
{
node = q.front();
for ( int i = 0; i < MAX_NODE; i++ )
{
if ( Matric[node][i] == 1 && !visited[i])
{
visited[i] = true;
q.push(i);
}
}
cout <<" v" << node;
q.pop();
}
}
void Init()
{
int i = 0;
for ( i = 0; i < MAX_NODE; i++)
{
visited[i] = false;
}
}
int main()
{
Init();
DFS( 1 ) ;
cout << endl ;
Init();
BFS( 1 );
cout << endl;
Init();
DFS( 6 );
cout <<endl;
return 0 ;
}
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