数据结构之有向无环图邻接表利用栈实现拓扑排序(参考整理严蔚敏数据结构)

最新推荐文章于 2022-04-12 13:58:54 发布

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最新推荐文章于 2022-04-12 13:58:54 发布 · 947 阅读

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#数据结构有向无环图邻接表拓扑排序

本文介绍了如何使用邻接表数据结构实现有向无环图（DAG）的拓扑排序。通过创建、销毁、遍历DAG，以及插入、删除顶点和弧的操作，最后利用栈进行拓扑排序。代码中包含了一个完整的DAG操作实例，并进行了拓扑排序的验证。

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#include<iostream>
using namespace std;
#define MAXVEX 100 
typedef char VType;
typedef int AType;
typedef struct ArcNode
{
	AType adjvex;
	ArcNode *pNextArc;
}ArcNode;
typedef struct VexNode
{
	VType data;
	ArcNode *pFirstArc;
}VexNode;
typedef struct
{
	VexNode VLnode[MAXVEX];
	int Vnums;
	int Anums;
}DGraph;

void CreateGraph(DGraph &G)
{
	int i, j, k;
	ArcNode *p;
	cin >> G.Vnums >> G.Anums;
	for (i = 0; i < G.Vnums; ++i)
	{
		cin >> G.VLnode[i].data;
		G.VLnode[i].pFirstArc = NULL;
	}
	for (k = 0; k < G.Anums; ++k)
	{
		cin >> i >> j;
		if (i != j)
		{
			p = new ArcNode;
			p->adjvex = j;
			p->pNextArc = G.VLnode[i].pFirstArc;
			G.VLnode[i].pFirstArc = p;
		}
	}
}

void DestroyGraph(DGraph &G)
{
	int i;
	ArcNode *p, *q;
	for (i = 0; i < G.Vnums; ++i)
	{
		p = G.VLnode[i].pFirstArc;
		while (p)
		{
			q = p->pNextArc;
			delete p;
			p = q;
		}
		G.VLnode[i].pFirstArc = NULL;
	}
	G.Anums = 0;
}

int LocateVex(DGraph G, VexNode v)
{
	int i;
	for (i = 0; i < G.Vnums; ++i)
		if (G.VLnode[i].data = v.data)
			return i;
	return -1;
}

VType GetVex(DGraph G, int i)
{
	if (i >= G.Vnums || i < 0)
		exit(-1);
	return G.VLnode[i].data;
}

bool PutVex(DGraph &G, int i, VType value)
{
	i = LocateVex(G, G.VLnode[i]);
	if (i > -1)
	{
		G.VLnode[i].data = value;
		return true;
	}
	else
		return false;
}

int FirstAdjVex(DGraph G, VexNode v)
{
	int i;
	ArcNode *p;
	i = LocateVex(G, v);
	p = G.VLnode[i].pFirstArc;
	if (p)
		return p->adjvex;
	else
		return -1;
}

int NextAdjVex(DGraph G, VexNode v, VexNode w)
{
	int i, j;
	ArcNode *pA;
	i = LocateVex(G, v);
	j = LocateVex(G, w)