[数据结构与算法]图的部分操作

图的部分操作

6-1 采用邻接表创建无向图 (20 分)

void CreateUDG(ALGraph &G)
{
    int n,m;
    scanf("%d %d",&n,&m);
    G.vexnum = n;
    G.arcnum = m;
    getchar();
    for(int i = 0 ; i < G.vexnum ; i ++){
        char s;
        scanf("%c",&s);
        G.vertices[i].data = s;
        G.vertices[i].firstarc = NULL;
       // printf("%c\n",s);
    } 
    getchar();
    for(int  i = 0 ; i < m ; i ++){
        char a , b;
        scanf("%c%c",&a,&b);
        getchar();
       // printf("%")
        for(int j = 0 ; j < n ; j ++){
            if(G.vertices[j].data == a){
                //printf("ss  %d\n ",j);
                ArcNode *s = new ArcNode ;
                for(int k = 0 ; k < n ; k ++){
                    //printf("%c\n",b);
                    if(G.vertices[k].data == b){
                        s->adjvex = k;
                        ArcNode *q = new ArcNode;
                        q->adjvex = j;
                        q->nextarc = G.vertices[k].firstarc;
                        G.vertices[k].firstarc = q;
                       // printf("aa %d\n",k);
                        break;
                    }
                }
                s->nextarc = G.vertices[j].firstarc;
                G.vertices[j].firstarc = s;
                break;
            }
        }
    }
    
}

6-2 采用邻接矩阵表示法创建无向图 (20 分)

void CreateUDN(AMGraph &G)
{
    int n,m;
    scanf("%d%d",&n,&m);
    G.vexnum = n;
    G.arcnum = m;
    getchar();
    for(int i = 0 ; i < n ; i ++){
        char s;
        scanf("%c",&s);
        G.vexs[i] = s;
    }
    
    getchar();
    
    for(int i = 0 ; i < m ; i ++){
        char a , b;
        scanf("%c%c",&a,&b);
        getchar();
        
        int x = -1 , y = -1;
        for(int j = 0 ; j < n ; j ++){
            if(G.vexs[j] == a) x = j;
            if(G.vexs[j] == b) y = j;
            
            if(x != -1 && y != -1) break;
        }
        G.arcs[x][y] = 1;
        G.arcs[y][x] = 1;
    }
}

6-3 基于邻接矩阵表示的广度优先遍历 (20 分)

#include<queue>
using namespace std;
void BFS(Graph G, int v)
{
    visited[v] = 1;
    
    queue<int> q;
    q.push(v);
    while(!q.empty()){
        int x = q.front();
        q.pop();
        printf("%c ",G.vexs[x]);
         for(int i = 0 ; i < G.vexnum ; i ++){
             if(!visited[i] && G.arcs[x][i]){
                 q.push(i);
                 visited[i] = 1;
             } 
        }
    }
   
}

6-4 邻接矩阵存储图的深度优先遍历 (20 分)

void DFS( MGraph Graph, Vertex V, void (*Visit)(Vertex) )
{
    Visit(V);
    Visited[V] = 1;
    for(int i = 0 ; i < Graph->Nv ; i ++){
        if(Graph->G[V][i] == 1 && !Visited[i]){
            DFS(Graph, i, Visit);
        }
    }
}

6-5 求采用邻接矩阵作为存储结构的有向图各顶点的出度 (6 分)

void outdegree(MGraph G)
{
    for(int i = 0 ; i < G.vexnum ; i ++){
        printf("%c:",G.vexs[i]);
        int sum = 0;
        for(int j = 0 ; j < G.vexnum ; j ++) if(G.arcs[i][j]) sum++;
        printf("%d\n",sum);
    }
}

6-6 基于邻接表表示的广度优先遍历 (20 分)

#include<queue>
using namespace std;

void BFS(ALGraph G, int v){
    queue<int> q;
    q.push(v);
    visited[v] = 1;
    
    while(!q.empty()){
        int x = q.front();
        printf("%c ",G.vertices[x].data);
        q.pop();
        ArcNode *s = G.vertices[x].firstarc;
        for( ; s != NULL ; s = s->nextarc){
            if(!visited[s->adjvex]){
                q.push(s->adjvex);
                visited[s->adjvex] = 1;
            }
        }
    }
}

6-7 统计有向图中各顶点的入度 (10 分)

void InDegree(LGraph Graph,int *num)
{
    for(int i = 0 ; i < Graph->Nv ; i ++){
        PtrToAdjVNode s = Graph->G[i].FisrtEdge;
        for( ; s != NULL ; s = s->Next){
            int x = s->AdjV;
            num[x]++;
        }
    }
}

6-8 邻接表存储图的广度优先遍历 (20 分)

void BFS ( LGraph Graph, Vertex S, void (*Visit)(Vertex) )
{
    Vertex q[1010],ll = 0 , rr = 0;
    Visited[S] = 1;
    q[rr ++] = S;
    while(rr != ll){
        Vertex x = q[ll ++];
        Visit(x);
        PtrToAdjVNode s = Graph->G[x].FirstEdge;
        
        for(; s != NULL ; s = s->Next){
            if(!Visited[s->AdjV]){
                Visited[s->AdjV] = 1;
                q[rr++] = s->AdjV;
            }
        }
    }
}

6-9 实现基于邻接矩阵表示的深度优先遍历 (20 分)

void DFS(Graph G, int v)
{
    visited[v] = 1;
    printf("%c ",G.vexs[v]);
    for(int i = 0 ; i < G.vexnum ; i ++){
        if(!visited[i] && G.arcs[v][i]){
            visited[i] = 1;
            DFS(G,i);
        }
    }
}