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拓扑排序(AOV)---判断图中是否有环---《数据结构》严蔚敏,
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// exam1.cpp : 定义控制台应用程序的入口点。
//
#include "stdafx.h"
#include <iostream>
#include <stack>
using namespace std;
#define MAXVEX 20
typedef struct ArcNode
{
int adjvex;
void* Info;
struct ArcNode* nextarc;
}ArcNode;
typedef struct HeadNode
{
int data;
ArcNode* firstarc;
}HeadNode;
typedef struct ALGraph
{
int arcnum;
int vexnum;
HeadNode vex[MAXVEX];
}ALGraph;
void InitALGraph(ALGraph& G)
{
cout<<"please enter the number of the vertex:"<<endl;
cin>>G.vexnum;
G.arcnum=0;
for(int i=1;i<G.vexnum+1;i++)
{
G.vex[i].data=i;
G.vex[i].firstarc=NULL;
}
cout<<"please enter the Arc..."<<endl;
cout<<"headnode tailnode"<<endl;
int adj1,adj2;
while(cin>>adj1>>adj2)
{
G.arcnum++;
ArcNode* arc;
arc=G.vex[adj1].firstarc;
if(arc==NULL)
{
G.vex[adj1].firstarc=(ArcNode*)malloc(sizeof(ArcNode));
arc=G.vex[adj1].firstarc;
arc->adjvex=adj2;
arc->nextarc=NULL;
}
else
{
while(arc->nextarc)
{
arc=arc->nextarc;
}
arc->nextarc=(ArcNode*)malloc(sizeof(ArcNode));
arc->nextarc->adjvex=adj2;
arc->nextarc->nextarc=NULL;
}
}
for(int i=1;i<G.vexnum+1;i++)
{
cout<<"vextex"<<i<<"'s adjacent vertices are:";
ArcNode* arc;
arc=G.vex[i].firstarc;
while(arc!=NULL)
{
cout<<arc->adjvex<<" ";
arc=arc->nextarc;
}
cout<<endl;
}
}
void CalIndegree(ALGraph G,int* indegree)
{
for(int i=1;i<G.vexnum+1;i++)
{
ArcNode* arc;
arc=G.vex[i].firstarc;
while(arc!=NULL)
{
indegree[arc->adjvex]++;
arc=arc->nextarc;
}
}
}
void TopologicalSort(ALGraph G)
{
int *indegree=(int*)malloc(sizeof(int)*(G.vexnum+1));
memset(indegree,sizeof(int)*(G.vexnum+1));
CalIndegree(G,indegree);
stack<int> s;
for(int i=1;i<G.vexnum+1;i++)
{
if(indegree[i]==0)
{
s.push(i);
}
}
cout<<"The topological sort of the graph is"<<endl;
int count=0;
while(!s.empty())
{
int i=s.top();
s.pop();
cout<<i<<" ";
count++;
ArcNode* arc;
arc=G.vex[i].firstarc;;
while(arc!=NULL)
{
if(--indegree[arc->adjvex]==0)
{
s.push(arc->adjvex);
}
arc=arc->nextarc;
}
}
cout<<endl;
if(count==G.vexnum)
{
cout<<"No loop in the graph..."<<endl;
}
return;
}
int main(void)
{
ALGraph G;
InitALGraph(G);
TopologicalSort(G);
system("pause");
return 0;
}
原文链接:https://www.f2er.com/datastructure/383021.html