实验7:图的操作算法一、实验目的1 .熟悉各种图的存储结构。2 .掌握图的各种搜索路径的遍历方法。二、实验内容L设计一个有向图和一个无向图，任选一种存储结构，完成有向图和无向图的DFS（深度优先遍历）和BFS（广度优先遍历）的操作。算法：#include#include#include#include#defineMAXV10#defineINF980708usingnamespacestd;typedefintInfoType;邻接矩阵typedefstruct（intno;InfoTypeinfo;JVertexType;顶点类型typedefstruct（intedgesMAXVMAXV;intnze;VertexTypevesMAXV;MatGraph;完整的图邻接矩阵类型邻接表typedefstructANode（intadjve;structANode*nextarc;intweight;ArCNOde;边结点类型typedefstructVnodeInfoTypeinfo;ArcNode*firstarc;VNode;邻接表的头结点类型typedefstruct(VNodeadjlistMAXV;intn,e;AdjGraph;完整的图邻接表类型typedefstruct(InfoTypedataMAXV;intfront,rear;SqQueue;队列初始化队列voidInitQUeUe(SqQUeUe*&q)(q=(SqQueue*)malloc(sizeof(SqQueue);q-front=q-rear=-l;)判断队列是否为空boolQueueEmptyfSqQueue*q)(return(q-front=q-rear);)进队列booleQueue(SqQueue*&q,InfoTypee)(if(q-rear=MAXV)returnfalse;q-rear+;q-dataq-rear=e;returntrue;)出队列booldeQueue(SqQueue*&q,InfoType&e)(if(q-front=q-rear)returnfalse;q-front=(q-front+l)%MAXV;e=q-dataq-front;returntrue;)创建邻接表voidCreateAdj(AdjGraph*&GJntAMAXVMAXVJntnjnte)(intij;ArcNode*p;G=(AdjGraph*)malloc(sizeof(AdjGraph);for(i=0;iadjlisti.firstarc=NULL;for(i=0;i=OJ-)if(Aij!=O&Ai0!=INF)p=(ArcNode*)malloc(sizeof(ArcNode);p-adjvex=j;p-nextarc=G-adjIisti.firstarc;G-adjlisti.firstarc=p;)G-n=n;G-e=e;)输出邻接表voidDispAdj(AdjGraph*G)(COUt“邻接表存储：endl;inti;ArcNode*p;for(i=0;in;i+)(p=G-adjlisti.firstarc;printf(%3dzi);printf(%3d-,J);while(p!=NULL)(printf(%3d-,p-adjvex);p=p-nextarc;)coutAendl;)/DFS深度优先遍历intvisitedMAXV=0;voidDFSfAdjGraph*G,intv)(ArcNode*p;visitedv=l;coutadjlistv.firstarc;while(p!=NULL)(if(visitedp-adjvex=O)DFS(G,p-adjvex);p=p-nextarc;)/BFS广度优先遍历voidBFS(AdjGraph*GJntv)(intWjjArcNode*p;SqQueue*qu;InitQueue(qu);intvisitedlMAXV;for(inti=0;in;i+)visitedli=O;printf(%2d,v);visitedlv=l;enQueue(qu,v);while(!QueueEmpty(qu)(deQueue(quzw);p=G-adjlistw.firstarc;while(p!=NULL)(if(visitedlp-adjvex=O)(printf(%2d,p-adjvex);visitedlp-adjvex=l;eQueue(qu,p-adjvex);p=p-nextarc;)coutendl;)销毁邻接表voidDestroyAdj(AdjGraph*&G)(inti;ArcNode*pre,*p;for(i=0;in;i+)(pre=G-adjlisti.firstarc;if(pre!=NULL)(p=pre-nextarc;while(p!=NULL)(free(pre);pre=p;p=p-nextarc;free(pre);)free(G);)创建邻接矩阵voidCreatMat(MatGraph*&GJntnjnte)(intijljjlznuml,num2;G=(MatGraph*)malloc(sizeof(MatGraph);邻接矩阵初始化for(i=0;in;i+)(for(j=0;jedgesij=O;)顶点信息COUt请输入顶点编号endl;for(i=0;iG-vexsi.no;边信息for(i=0;ie;i+)(COUt”请输入起始端点编号和终止端点编号*iljl;for(j=0;jvexsj.no=il)numl=j;if(G-vexsj.no=jl)num2=j;)G-edgesnumlnum2=l;)G-n=n;G-e=e;)输出邻接矩阵voidDispMat(MatGraph*G)(cout”邻接矩阵存储：endl;couttt;for(inti=0;in;i+)coutvexsi.not;coutendl;for(inti=0;in;i+)(couttvexsi.not;for(intj=O;jn;j+)coutedgesijt;coutendl;)intmain()(intnze,vl;MatGraph*G;AdjGraph*p;COUt请输入顶点个数n;COUt请输入边的个数e;CreatMat(G,nze);DispMat(G);CreateAdj(p,G-edges,nze);DispAdj(p);COUtv;DFS(pzv);coutendl;COUtvl;BFS(p,vl);COUt销毁图IE -2-3-1:13运行结果:请输入顶点个数3输入边的个数1输入顶点编号12345请输入起始端点编号和终止端点编号13请输入起始端点编号和终止端点编号14请输入起始端点编号和终止端点编号12请输入起始端点编号和终止端点编号43请输入起始端点编号和终止端点编号2 4请输入起始端点编号和终止端点编号3 5请输入起始端点编号和终止端点编号5 2邻接矩阵存储：2-3-请输入初始点：1请输入初始点：1,-STJTJ-IJnJTJLLLLL1342Itt:-S/(mlIi-J深1o1234S接O.1:2:3:4:F4存在问题：无2.求两点之间最短路径。算法设计：求两点之间最短路径。#include#include#include#include#defineINF32767#defineMAXVIOOusingnamespacestd;typedefcharInfoType;以下定义邻接矩阵类型typedefstructintno;顶点编号InfoTypeinfo;顶点其他信息VertexType;typedefstruct顶点类型intedgesMAXVMAXV;邻接矩阵数组intnze;顶点数，边数VertexTypevexsMAXV;存放顶点信息MatGraph;完整的图邻接矩阵类型voidCreateMat(MatGraph&g,intAMAXVMAXVJntnjnte)仓IJ建图的邻接矩阵inti,j;g.n=n;g.e=e;for(i=0;ig,n;i+)for(j=O;jg.n;j+)g.edgesij=Aij;voidDispMat(MatGraphg)输出邻接矩阵ginti,j;for(i=0;ig,n;i+)for(j=O;jg,n;j+)if(g.edgesij!=INF)printf(%4d,g.edgesi