深度优先搜索遍历非连通图

倖福魔咒の 提交于 2019-12-04 18:32:34
//深度优先搜索遍历非连通图
#include <iostream>
using namespace std;

#define MVNum 100
typedef char VerTexType;
typedef int ArcType;

typedef struct {
    VerTexType vexs[MVNum];
    ArcType arcs[MVNum][MVNum];
    int vexnum, arcnum;
}Graph;

bool visited[MVNum];
int FirstAdjVex(Graph G, int v);
int NextAdjVex(Graph G, int v, int w);

int LocateVex(Graph G, VerTexType v) {
    for (int i = 0;i < G.vexnum;++i) {
        if (G.vexs[i] == v)
            return i;
    }
    return -1;
}

void CreateUDN(Graph &G) {
    int i, j, k;
    cout << "请输入总顶点数,总边数,以空格隔开:";
    cin >> G.vexnum >> G.arcnum;
    cout << endl;

    cout << "输入点的名称,如a" << endl;
    for (i = 0;i < G.vexnum;++i) {
        cout << "请输入第" << (i + 1) << "个数的名称";
        cin >> G.vexs[i];
    }
    cout << endl;
    for (i = 0;i < G.vexnum;++i) {
        for (j = 0;j < G.vexnum;++j) {
            G.arcs[i][j] = 0;
        }
    }
    cout << "输入边依附的顶点,如a b" << endl;
    for (k = 0;k < G.arcnum;k++) {
        VerTexType v1, v2;
        cout << "请输入第" << (k + 1) << "条边依附的顶点:";
        cin >> v1 >> v2;
        i = LocateVex(G, v1);
        j = LocateVex(G, v2);
        G.arcs[j][i] = G.arcs[i][j]=1;
    }
}

void DFS(Graph G, int v) {
    cout << G.vexs[v] << "    ";
    visited[v] = true;
    int w;;
    for (w = FirstAdjVex(G, v);w >= 0;w = NextAdjVex(G, v, w))
        if (visited[w]) DFS(G, w);
}

//key
void DFSTraverse(Graph G) {
    int v;
    for (v = 0;v < G.vexnum;++v)
        visited[v] = false;
    for (v = 0;v < G.vexnum;++v)
        if (!visited[v]) DFS(G, v);
}

int FirstAdjVex(Graph G, int v) {
    int i;
    for (i = 0;i < G.vexnum;++i) {
        if (G.arcs[v][i] == 1 && visited[i] == false)
            return i;
    }
    return -1;
}

int NextAdjVex(Graph G, int v, int w) {
    int i;
    for (i = w; i < G.vexnum; ++i) {
        if (G.arcs[v][i] == 1 && visited[i] == false)
            return i;
    }
    return -1;
}

int main() {
    cout << "深度优先搜索遍历非连通图";
    Graph G;
    CreateUDN(G);
    cout << endl;
    cout << "无向图G创建完成!" << endl;
    cout << "深度优先搜索遍历非连通图结果:" << endl;
    DFSTraverse(G);
    cout << endl;
    return 0;
}
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