徐州工程学院数据结构最小生成树实验文档

1、实验九 图的最小生成树算法的实现实验预备知识：1理解图最小生成树的意义和相应算法。2掌握带权图的存储结构。一、实验目的1使学生熟悉最小生成树的算法实现。2掌握带权图的存储结构和处理方法。二、实验环境 硬件：每个学生需配备计算机一台。操作系统：DOS或Windows； 软件：DOS或Windows操作系统+Turbo C； 三、实验要求1能够独立完成带权图的存储和最小生成树的生成四、实验内容1在自己的U盘的“姓名+学号”文件夹中创建“实验9”文件夹，本次实验的所有程序和数据都要求存储到本文件夹中。2现在某电信公司要对如下图的几个城市之间进行光纤连接布线，请用合适的存储结构将下图存储到计算机中方便

2、进行处理。3现在公司想以最小的代价将所有城市连通，方便所有城市间通信，请用普里姆算法和克鲁斯卡尔算法实现本图的最小生成树#include #include #define INF 50typedef struct ArcNodeint adjvex; /该弧所指向的顶点位置struct ArcNode *nextarc; /下一个临接点int weight; /弧的权重ArcNode; /表结点typedef structVNodechar data; /顶点信息ArcNode *firstarc; /指向下一个结点VNode,AdjList6;typedef structAdjList LH

3、; /创建头结点数组int vexnum; /图的点的个数int arcnum; /图的边的个数 Graph;typedef struct char nextvex;int lowcost;int know;Auxiliary_array; /辅助数组结构体void main (void)void buildtu (Graph*);void printgraph(Graph*);void prim( Graph *G, char u); char u;Graph UDG;Graph *G = &UDG;buildtu(G);printgraph(G); /打印图printf(请输入起始顶点：n

4、);while(getchar()!=n);u = getchar();prim(G ,u); void buildtu (Graph *G) /建图int search(Graph *G,char a);int i,n1,n2,w;char a,b;ArcNode *p, *q; printf(请输入顶点个数和边的条数：n); scanf(%d %d,&G-vexnum,&G-arcnum); printf(请输入顶点信息n); for (i = 0; i vexnum; +i)while (getchar()!=n); scanf(%c,&G-LHi.data); G-LHi.firsta

5、rc = NULL; printf(请输入有关系的结点和该边的权重:n);for(i=0;iarcnum;+i)while (getchar()!=n); scanf(%c %c %d,&a,&b,&w);n1=search(G,a);n2=search(G,b); p=G-LHn1.firstarc;if(p = NULL) p=G-LHn1.firstarc=(ArcNode *) malloc (sizeof(ArcNode);elsewhile( p-nextarc !=NULL )p=p-nextarc;p=p-nextarc=(ArcNode *) malloc (sizeof(A

6、rcNode);q=G-LHn2.firstarc;if(q = NULL) q=G-LHn2.firstarc=(ArcNode *) malloc (sizeof(ArcNode);elsewhile( q-nextarc !=NULL )q=q-nextarc;q=q-nextarc=(ArcNode *) malloc (sizeof(ArcNode);p-adjvex=n2; p-weight=w;p-nextarc=NULL;q-adjvex=n1;q-weight=w;q-nextarc=NULL;int search (Graph *G,char a) /确定顶点a在头结点数组

7、中的位置int i;for(i=0;ivexnum;+i)if(G-LHi.data=a)return i;void printgraph(Graph *G) /打印图int i; ArcNode *p;for (i=0 ; i vexnum; +i)p=G-LHi.firstarc;printf(data:%c t,G-LHi.data);while(p!=NULL)printf(firstarc-adjvex=%d,p-adjvex);p=p-nextarc;printf(n);void prim( Graph *G, char u)/用prim算法实现最小生成树int search (G

8、raph *G,char a);int minimize(Graph *G, Auxiliary_array);void printtable(Auxiliary_array);Auxiliary_array A6; /创建辅助数组int i,j,seat;int location;ArcNode *p ;for (i = 0; i vexnum; +i) Ai.nextvex = 0;Ai.know = 0;Ai.lowcost = INF; location = search(G ,u);/确定u元素在头结点数组中的位置for (p=G-LHlocation.firstarc ; p !=

9、 NULL; p=p-nextarc )i = p-adjvex;Ai.nextvex = G-LHlocation.data; Ai.lowcost = p-weight;Ai.know = 0;Alocation.know = 1;Alocation.lowcost = 0;Alocation.nextvex = 0; for(j=0;jvexnum-1;+j)seat = minimize( G,A );printf(select min: %dn, seat); Aseat.know = 1;p=G-LHseat.firstarc; for (p; p != NULL; p=p-nex

10、tarc) i=p-adjvex; if(Ai.know = 0 & p-weight LHseat.data; Ai.lowcost = p-weight; printtable(A); /打印辅助数组中的信息for (j = 0; j vexnum; +j)if (j != location)printf(%c%cn,Aj.nextvex,G-LHj.data);int minimize(Graph *G, Auxiliary_array A)/取出辅助数组中权值最小的顶点所在的位置int i,place,num;num = INF;for (i = 0; i vexnum; +i)if(Ai.know = 0 & num = Ai.lowcost)num = Ai.lowcost;place = i;return place;void printtable(Auxiliary_array A) /打印辅助数组int i;for (i = 0; i