for (int i = 1; i <= G.vexnum; i++) { closeedges[i].end_ver = 1; closeedges[i].lowcost = G.arcs[1][i]; closeedges[i].flag = 0; } closeedges[1].flag = 1; int min; for (int i = 2; i <= G.vexnum; i++) { min = -1; for (int j = 1; j <= G.vexnum; j++) { if (closeedges[j].flag == 0 && (closeedges[j].lowcost > 0 && (min < 0 || closeedges[min].lowcost>closeedges[j].lowcost))) min = j; } closeedges[min].flag = 1; setlinecolor(GREEN); setlinestyle(PS_SOLID | PS_JOIN_BEVEL, 5); draw_arc(G.vexs[closeedges[min].end_ver], G.vexs[min], closeedges[min].lowcost); setlinecolor(RED); setlinestyle(PS_SOLID | PS_JOIN_BEVEL, 1); setfillcolor(MAGENTA); for (int i = 1; i <= G.vexnum; i++) { draw_vex(G.vexs[i], i); } Sleep(1000); for (int j = 2; j <= G.vexnum; j++) { if (closeedges[j].flag == 0 && (G.arcs[j][min] > 0 && (closeedges[j].lowcost < 0 || closeedges[j].lowcost > G.arcs[j][min]))) { closeedges[j].end_ver = min; closeedges[j].lowcost = G.arcs[j][min];

图的邻接表存储表示与图的算法解析

例如，一个无向图中，边(v, w)表示顶点v和w之间存在连接，而有向图中，弧<v, w>表示从顶点v到顶点w的有向连接。图的存储结构有多种，其中邻接表是一种常见的高效方法，尤其适用于稀疏图（边的数量远小于顶点数量的...

十字链表实现图的存储结构详解

在图论中，图G可以用一个二元组G=(V,E)表示，其中V是顶点集，E是边集。如果边有方向，图被称为有向图；如果边没有方向，图被称为无向图。在无向图中，边是连接两个顶点的连接，而在有向图中，边表现为有方向的弧，如...

for (int i = 0; i < (graph.vexnum); i++) { graph.vexs[i] = city[i]; } //初始化二维矩阵 for (i = 0; i < (graph.vexnum); i++) { for (j = 0; j < (graph.vexnum); j++) { graph.arcs[i][j].cost = INFINITY; graph.arcs[i][j].time = INFINITY; } } //添加弧数据 for (int i = 0; i < graph.arcnum; i++) { int sta = LocateVex(route[i].start_city, city); int end = LocateVex(route[i].end_city, city); graph.arcs[sta][end].cost = route[i].cost; graph.arcs[sta][end].time = route[i].time; } }

1. 将城市数组 city 中的每个城市信息复制到图的节点数组 graph.vexs 中对应的位置上。 2. 初始化图的邻接矩阵 graph.arcs，将每个边的长度和时间都设置为无穷大（即表示不可达）。 3. 遍历路线数组 route，对于每...

void CreatMGraph(MGraph &G) { int i,j,k; scanf("%d,%d",&G.vexnum,&G.arcnum); for(i=0;i<G.vexnum;i++) for(j=0;j<G.vexnum;j++) G.arcs[i][j]=0; for(i=0;i<G.vexnum;i++) scanf("%c",&G.vexs[i]); for(k=0;k<G.arcnum;k++) { scanf("%d,%d",&i,&j); G.arcs[i][j]=1; } for(i=0;i<G.arcnum;j++) { printf("%d:",i); for(j=0;j<G.vexnum;j++) { for(k=0;k<G.vexnum;k++) { if(G.arcs[j][k]==1) { printf(" %d",k); } } } printf("\n"); } }

3. 在遍历每一个节点时，只需要遍历邻接矩阵中的该节点所在行，而不需要遍历整个邻接矩阵，可以将第二个for循环的结束条件改为j<G.vexnum。 4. 在遍历每一个节点时，输出的节点名称应该从0开始，而不是从i开始。

void PrintAdjacencyList(AMGraph& G) { cout << "地图的邻接表表示如下：" << endl; for (int i = 0; i < G.vexnum; i++) { cout << G.vexs[i] << ": "; bool hasNeighbor = false; for (int j = 0; j < G.vexnum; j++) { if (G.arcs[i][j] != MaxInt && i != j) { if (hasNeighbor) cout << " -> "; cout << G.vexs[j]; hasNeighbor = true; } } cout << endl; } } void Backtrack(AMGraph& G, int currIdx, vector<int>& path, vector<bool>& visited, int& distance) { if (path.size() == G.vexnum && G.arcs[currIdx][0] != MaxInt) { cout << "路径："; for (int i = 0; i < path.size(); i++) { cout << G.vexs[path[i]] << " "; } cout << G.vexs[0] << endl; cout << "总路程：" << distance + G.arcs[currIdx][0] << endl; return; } for (int i = 0; i < G.vexnum; i++) { if (G.arcs[currIdx][i] != MaxInt && !visited[i]) { path.push_back(i); visited[i] = true; distance += G.arcs[currIdx][i]; Backtrack(G, i, path, visited, distance); path.pop_back(); visited[i] = false; distance -= G.arcs[currIdx][i]; } } }为这段代码加上注释

i < G.vexnum; i++) { // 输出当前顶点的名称 cout << G.vexs[i] << ": "; bool hasNeighbor = false; for (int j = 0; j < G.vexnum; j++) { // 如果当前顶点与其他顶点存在边，则输出与之相连的顶点名称 if...

// just for test，无向图，邻接矩阵，书上图 6.17(a) void CreateUDG_AMG_Test(AMGraph &g){ g.vexnum = 8; g.arcnum = 9; // vertices string temp[] = {"V1", "V2", "V3","V4", "V5", "V6","V7", "V8"}; for (int i=0; i<g.vexnum; i++){ g.vexs[i] = temp[i]; } // init arcs as 0 for (int j=0; j<g.vexnum; j++) for (int k=0; k<g.vexnum; k++){ g.arcs[j][k] = 0; } // arcs int arc_i[] = {0, 0, 1, 1, 2, 2, 3, 4, 5}; int arc_j[] = {1, 2, 3, 4, 5, 6, 7, 7, 6}; int i, j; for (int k=0; k<g.arcnum; k++){ i = arc_i[k]; j = arc_j[k]; g.arcs[i][j] = 1; g.arcs[j][i] = 1; } return; } // just for test，无向网，邻接矩阵，书上图 6.19 void CreateUDN_AMG_Test(AMGraph &g){ g.vexnum = 6; g.arcnum = 10; // vertices string temp[] = {"V1", "V2", "V3","V4", "V5", "V6"}; for (int i=0; i<g.vexnum; i++){ g.vexs[i] = temp[i]; } // init arcs as MaxInt for (int j=0; j<g.vexnum; j++){ for (int k=0; k<g.vexnum; k++){ g.arcs[j][k] = MaxInt; } } // arcs int arc_i[] = {0, 0, 0, 1, 1, 2, 2, 2, 3, 4}; int arc_j[] = {1, 2, 3, 2, 4, 3, 4, 5, 5, 5}; int weights[] = {6, 1, 5, 5, 3, 5, 6, 4, 2, 6}; int i, j; for (int k=0; k<g.arcnum; k++){ i = arc_i[k]; j = arc_j[k]; g.arcs[i][j] = weights[k]; g.arcs[j][i] = weights[k]; } return; } // just for test，有向网，邻接矩阵 void CreateDN_AMG_Test(AMGraph &g, int vexnum, int arcnum, string vertices[], int arc_i[], int arc_j[], int weights[]){ g.vexnum = vexnum; g.arcnum = arcnum; // vertices for (int i=0; i<g.vexnum; i++){ g.vexs[i] = vertices[i]; } // init arcs as MaxInt for (int j=0; j<g.vexnum; j++){ for (int k=0; k<g.vexnum; k++){ g.arcs[j][k] = MaxInt; } } // arcs int i, j; for (int k=0; k<g.arcnum; k++){ i = arc_i[k]; j = arc_j[k]; g.arcs[i][j] = weights[k]; } return; }如何根据这个来编写以邻接矩阵存储创建无向网

您可以使用 CreateUDN_AMG_...您可以将它们存入 AMGraph 类型的变量 g 中，代码如下： AMGraph g; CreateUDN_AMG_Test(g); 这样，变量 g 中就存储了一个邻接矩阵存储的无向网，您可以使用 g 进行后续的操作。

int LocateVex(string e, City* c) { int i = 0; for (i = 0; i < 199; i++) { if (e == c[i].city) { return i; break; } } } void CreatGraph(Graph& graph, City& city, Route& route) { int i, j; graph.arcs = new Route * [199]; for (int i = 0; i < 199; ++i) { graph.arcs[i] = new Route[199]; } graph.vexs = new City[199]; graph.arcnum = 1975; graph.vexnum = 199; //构建图 //依次录入顶点的数据 for (int i = 0; i < (graph.vexnum); i++) { graph.vexs[i] = city[i]; } //初始化二维矩阵 for (i = 0; i < (graph.vexnum); i++) { for (j = 0; j < (graph.vexnum); j++) { graph.arcs[i][j].cost = INFINITY; graph.arcs[i][j].time = INFINITY; } } //添加弧数据 for (int i = 0; i < graph.arcnum; i++) { int sta = LocateVex(route[i].start_city, city); int end = LocateVex(route[i].end_city, city); graph.arcs[sta][end].cost = route[i].cost; graph.arcs[sta][end].time = route[i].time; } }

这段代码是关于图的数据结构的构建和初始化。其中包含了两个函数：LocateVex 和 CreatGraph。LocateVex 函数是用来在城市数组中查找特定城市的位置，它会返回该城市在数组中的下标。CreatGraph 函数则是用来构建图的...

void DFSTraverse(Graph graph) { for (int i = 1; i <= graph->vexnum; i++) visited[i] = false; for (int i = 1; i <= graph->vexnum; i++) { if (!visited[i]) DFS(graph, i); } } void DFS(Graph graph, int v) { visited[v] = true; cout << graph->list[v].data << " "; Node* header = graph->list[v].head; while (header) { if (!visited[header->vex]) { DFS(graph, header->vex); } header = header->next; } } void BFSTraverse(Graph graph) { queue<int> MyQueue; for (int i = 1; i <= graph->vexnum; i++) visited[i] = false; for (int i = 1; i <= graph->vexnum; i++) { if (!visited[i]) { visited[i] = true; cout << graph->list[i].data << " "; MyQueue.push(i); while (!MyQueue.empty()) { int front = MyQueue.front(); MyQueue.pop(); Node* header = graph->list[front].head; while (header) { if (!visited[header->vex]) { visited[header->vex] = true; cout << graph->list[header->vex].data << " "; MyQueue.push(header->vex); } header = header->next; } } } } } void printGraph(Graph graph) { int** arr = new int* [graph->vexnum + 1]; for (int i = 1; i <= graph->vexnum; i++) { arr[i] = new int[graph->vexnum + 1]; } for (int i = 1; i <= graph->vexnum; i++) { for (int j = 1; j <= graph->vexnum; j++) { arr[i][j] = 0; } } for (int i = 1; i <= graph->vexnum; i++) { Node* header = graph->list[i].head; while (header) { arr[i][header->vex] = header->weight; header = header->next; } } for (int i = 1; i <= graph->vexnum; i++) { for (int j = 1; j <= graph->vexnum; j++) { cout << arr[i][j] << " "; } cout << endl; } }代码讲解

DFSTraverse函数和DFS函数实现了图的深度优先遍历。首先将visited数组初始化为false，然后对每个顶点进行深度优先遍历。在DFS函数中，首先将当前顶点标记为已访问，并输出其数据。然后遍历当前顶点的邻接表，对于每...

#include<iostream> #include<queue> using namespace std; #define MAXNUM 100 char visited1[MAXNUM]; typedef struct{ char vexs[MAXNUM]; //顶点 int arcs[MAXNUM][MAXNUM];//边 int vexnum,arcnum; } AMGraph; int LocateVex(AMGraph G,char v){ for(int i = 0; i < G.vexnum; i++){ if(G.vexs[i] == v)return i; } return -1; } int CreateUNG(AMGraph &G){ char v1,v2; cout<<"请输入顶点数和边数："; cin>>G.vexnum>>G.arcnum; cout<<"请依次输入顶点："; for(int i = 0; i < G.vexnum; i++)cin>>G.vexs[i]; for(int j = 0; j < G.vexnum; j++) for(int i = 0; i < G.vexnum; i++) G.arcs[j][i] = 0; //初始化邻接矩阵 cout<<"请依次输入邻边："<<endl; for(int k = 0; k < G.arcnum; k++){ cin>>v1>>v2; int i = LocateVex(G,v1); int j = LocateVex(G,v2); G.arcs[i][j] = 1; G.arcs[j][i] = 1; } return 1; } void DFT_AM(AMGraph G,int i){ //深度优先遍历邻接矩阵 cout<<G.vexs[i]; visited1[i] = 1; for(int j = 0; j < G.vexnum; j++){ if(G.arcs[i][j] == 1 && !visited1[j])DFT_AM(G,j); } } void BFT_AM(AMGraph G, int i) { //广度优先遍历邻接矩阵 queue<int> Q; //定义队列Q Q.push(i); //将起始顶点入队 visited1[i] = 1; //标记为已访问 while (!Q.empty()) { //重复步骤2-3，直到队列为空 int cur = Q.front(); //取出队首元素 Q.pop(); //出队 cout << G.vexs[cur]; //访问该顶点 for (int j = 0; j < G.vexnum; j++) { if (G.arcs[cur][j] == 1 && !visited1[j]) { //遍历该顶点的邻接点，将未访问的邻接点入队 Q.push(j); visited1[j] = 1; //标记为已访问 } } } } int main(){ AMGraph G; CreateUNG(G); for(int j = 0; j < G.vexnum; j++){ //输出邻接矩阵 for(int i = 0; i < G.vexnum; i++) cout<<G.arcs[j][i]<<" "; cout<<endl; } cout<<endl<<"输出深度优先序列："; DFT_AM(G,0); cout << endl << "输出广度优先序列："; for (int i = 0; i < MAXNUM; i++) visited1[i] = 0; //重置visited1数组 BFT_AM(G, 0); } 请改良此代码

if(G.vexnum <= 0 || G.arcnum <= 0) return false; cout<<"请依次输入顶点："; for(int i = 0; i < G.vexnum; i++) cin>>G.vexs[i]; for(int j = 0; j < G.vexnum; j++){ for(int i = 0; i < G.vexnum; i++) G...

void CreatMGraph(MGraph &G) { int i, j, k; scanf("%d%d", &G.vexnum, &G.arcnum); getchar(); //读取换行符 for (i = 0; i < G.vexnum; i++) { scanf("%c", &G.vexs[i]); getchar(); //读取换行符 } for (i = 0; i < G.vexnum; i++) for (j = 0; j < G.vexnum; j++) G.arcs[i][j] = 0; for (k = 0; k < G.arcnum; k++) { scanf("%d,%d", &i, &j); getchar(); //读取换行符 G.arcs[i][j] = 1; G.arcs[j][i] = 1; //无向图需要将两个方向都置为1 } for (i = 0; i < G.vexnum; i++) { printf("%d:", i); for (j = 0; j < G.vexnum; j++) { if (G.arcs[i][j] == 1) { printf(" %d", j); } } printf("\n"); } }

接下来，循环读取每条边的起点和终点，并将其在邻接矩阵中的对应位置置为1（因为是无向图，所以需要将两个方向都置为1）。最后，函数输出邻接表表示的图。需要注意的是，在读取顶点和边的输入时，需要使用getchar...

int a,b; G.vexnum=n; G.arcnum=m; //memset(G.arcs,0,sizeof(G.arcs)); for(int i=0;i<G.vexnum;i++) for(int j=0;j<G.vexnum;j++) G.arcs[i][j]=0; for(int i=0;i<G.arcnum;i++) { a=bian[i].v1; b=bian[i].v2; G.arcs[a][b]=G.arcs[b][a]=1; } } void BFS(AMGraph G,int v,int Bf[]) { SqQueue Q; int I=0,u; InitQueue(Q); visited[v]=1; Bf[I++]=v; EnQueue(Q,v);下面的代码

i < G.vexnum; i++) { if (G.arcs[u][i] && !visited[i]) { // 如果u和v之间有边，且v未被访问过 visited[i] = 1; Bf[I++] = i; Q.push(i); } } } } int main() { int n, m; // n为结点数，m为边数 cin >...

#include<stdio.h> #include<stdbool.h> #define MAX_VERTEX_NUM 50 typedef struct{ int vertex[MAX_VERTEX_NUM]; int arc[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; int vexnum; }MGraph; void InitMGraph(MGraphG) { int i,j; for(i=0;i<G->vexnum;i++) { for(j=0;j<G->vexnum;j++) { G->arc[i][j]=0; } } } void DFS(MGraph G,bool visited,int v) { int w; visited[v]=true; printf("%d ",G.vertex[v]); for(w=0;w<G.vexnum ;w++) { if(G.arc[v][w]!=0&&!visited[w]) { DFS(G,visited,w); } } } void DFSTraverse(MGraph G) { int v; bool visited[MAX_VERTEX_NUM]; for(v=0;v<G.vexnum;v++) { visited[v]=false; } for(v=0;v<G.vexnum;v++) { if(!visited[v]) { DFS(G,visited,v); } } } int FirstAdjVex(MGraph G,int v)//查找第一个临界点 { int w; for(w=0;w<G.vexnum;w++) { if(G.arc[v][w]!=0) return w; } return -1; } int NextAdjVex(MGraph G,int v,int w)//查找下一个临界点 { int i; for(i=w+1;i<G.vexnum;i++) { if(G.arc[v][i]!=0) { return i; } } return -1; } int main() { MGraph G; int i,j; scanf("%d",&G.vexnum); for(i=0;i<G.vexnum;i++) { scanf("%d",&G.vertex[i]); } InitMGraph(&G); for(i=0;i<G.vexnum;i++) { for(j=0;j<G.vexnum;j++) { scanf("%d",&G.arc[i][j]); } } DFSTraverse(G); printf("\n"); return 0; } 应如何修改才能让其能够输入4 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0 矩阵，输出0 1 3 2

i<G.vexnum;i++) { scanf("%d",&G.vertex[i]); for(j=0;j<G.vexnum;j++) { scanf("%d",&G.arc[i][j]); } } 这样就可以同时输入顶点和邻接矩阵了。同时，应该将 DFS 函数中的 printf("%d ",G.vertex[v]) 改...

修改一下代码：//采用数组（邻接矩阵）表示法，构造图G void CreateGraph(MGraph &G){ printf("请输入顶点数和边数：\n"); scanf("%d%d",&G.vexnum,&G.arcnum); for(int i=0;i<G.vexnum;i++){ //初始化邻接矩阵 for(int j=0;j<G.vexnum;j++){ G.Edge[i][j]=0; } } int k,w; char a,b; printf("输入顶点："); getchar(); gets(G.Vex); for (k = 0; k < G.arcnum; k++) { // 读入边，建立邻接矩阵 printf("请输入第%d条边(vi, vj)和权值w：", k + 1); scanf(" %c %c %d", &a, &b, &w); for(int i=0;i<G.vexnum;i++){ //初始化邻接矩阵 for(int j=0;j<G.vexnum;j++){ G.Edge[i - 1][j - 1] = w; G.Edge[j - 1][i - 1] = w; } } } }

i<G.vexnum;i++){ //初始化邻接矩阵 for(int j=0;j<G.vexnum;j++){ G.Edge[i][j]=0; } } int k,w; char a,b; printf("输入顶点："); getchar(); gets(G.Vex); for (k = 0; k < G.arcnum; k++) { // 读入...

#include<stdio.h> #include<stdbool.h> #define MAX_VERTEX_NUM 50 typedef struct{ int vertex[MAX_VERTEX_NUM]; int arc[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; int vexnum; }MGraph; void InitMGraph(MGraphG) { int i,j; for(i=0;i<G->vexnum;i++) { for(j=0;j<G->vexnum;j++) { G->arc[i][j]=0; } } } void DFS(MGraph G,bool visited,int v) { int w; visited[v]=true; printf("%d ",v); for(w=0;w<G.vexnum ;w++) { if(G.arc[v][w]!=0&&!visited[w]) { DFS(G,visited,w); } } } void DFSTraverse(MGraph G) { int v; bool visited[MAX_VERTEX_NUM]; for(v=0;v<G.vexnum;v++) { visited[v]=false; } for(v=0;v<G.vexnum;v++) { if(!visited[v]) { DFS(G,visited,v); } } } int FirstAdjVex(MGraph G,int v)//查找第一个临界点 { int w; for(w=0;w<G.vexnum;w++) { if(G.arc[v][w]!=0) return w; } return -1; } int NextAdjVex(MGraph G,int v,int w)//查找下一个临界点 { int i; for(i=w+1;i<G.vexnum;i++) { if(G.arc[v][i]!=0) { return i; } } return -1; } int main() { MGraph G; int i,j; scanf("%d",&G.vexnum); for(i=0;i<G.vexnum;i++) { scanf("%d",&G.vertex[i]); } InitMGraph(&G); for(i=0;i<G.vexnum;i++) { scanf("%d",&G.vertex[i]); for(j=0;j<G.vexnum;j++) { scanf("%d",&G.arc[i][j]); } } DFSTraverse(G); printf("\n"); return 0; } 代码应如何修改才能保证输入4 0 1 0 1 1 0 0 0 0 0 0 1 1 0 1 0矩阵，输出结果是0 1 3 2修改后的代码是什么

i<=G->vexnum;i++) { for(j=0;j<=G->vexnum;j++) { G->arc[i][j]=0; } } } void DFS(MGraph G,bool *visited,int v) { int w; visited[v]=true; printf("%d ",v); for(w=0;w<G.vexnum ;w++) { if(G.arc[v]...

相关推荐

图的邻接表存储表示与图的算法解析

十字链表实现图的存储结构详解

深度与广度遍历图算法详解及实现

"图遍历的演示程序设计与实现

用于托管 Discord Overlay 的 DirectX 11 窗口.zip

【路径规划】吉萨金子塔建造算法栅格地图机器人路径规划【含Matlab仿真 2835期】.zip

【任务分配】蒙特卡洛算法无人机任务分配【含Matlab仿真 3016期】.zip

最新推荐

用于托管 Discord Overlay 的 DirectX 11 窗口.zip

【路径规划】吉萨金子塔建造算法栅格地图机器人路径规划【含Matlab仿真 2835期】.zip

【任务分配】蒙特卡洛算法无人机任务分配【含Matlab仿真 3016期】.zip

排序

用于挂接 DirectX API 调用的库.zip

MATLAB新功能：Multi-frame ViewRGB制作彩色图阴影

管理建模和仿真的文件

【实战篇：自定义损失函数】：构建独特损失函数解决特定问题，优化模型性能

在Flow-3D中如何根据水利工程的特定需求设定边界条件和进行网格划分，以便准确模拟水流问题？

XKCD Substitutions 3-crx插件：创新的网页文字替换工具