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1、7.3图的遍历回顾其他数据结构的遍历:顺序表的遍历单链表的遍历二叉树的遍历展望:那么对于图,我们怎样进行遍历呢?图的深度优先遍历图的广度优先遍历这两个算法是后面拓扑排序、求关键路径算法的基础1;.7.3.1.连通图的深度优先遍历2;.1.深度优先遍历以v开始的连通图访问v分别深度优先遍历v的各个未被访问的邻接点算法描述算法描述:3;.2.算法演示4;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5v1v2v3v4v5v6v7v8例图及其邻接表表示5;.演示开始,以v1为遍历的起点6;.01v12v23V34V45v56
2、v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5v17;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v18;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3v29;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v210;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v
3、1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5v411;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5v412;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v413;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2v814;.01v1
4、2v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2v815;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v816;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4v517;.01v12v23V34V45v56v67v78v8v2v3v1v4v5
5、v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4v518;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v519;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v820;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v
6、8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v821;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v822;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v823;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3
7、v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v824;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v825;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v826;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v
8、3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v827;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v828;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1v3, v2v1v5, v4v2, v8v4, v5v2v829;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6
9、v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v330;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v6v731;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v6v732;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v
10、2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v633;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3v734;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3v735;.01v12v2
11、3V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v736;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v637;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5
12、, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v638;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v639;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v640;.01v12v23V34V45v5
13、6v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v641;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v642;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v
14、2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v643;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v644;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5, v1, v2v1v5, v4v2, v8v4, v5v2v8, v3v1v7, v6v3, v7v3v645;.演示结束46;.3.算法实现 从演示过程可
15、以看出,我们必须知道顶点是否已经被访问过。在具体实现时,我们用一个全局数组visited来记录顶点是否被访问过。如果visitedi的值为True,则顶点vi已经被访问,否则没有被访问。47;.3.算法实现Void DFS(Graph G,int v)Visitedv=True;coutv;For(v的每一个邻接点w)If(visitedw=false)/如果没有被访问过DFS(G,w)48;.3.算法实现当图的存储结构为邻接表时,深度优先算法可以表示如下:bool visited100=false;void DFS(ALGraph mg,int v)visitedv=true;/以前未被访问,此处被访问改变对应的标志为已经访问coutmg.vexsv.data0;w=NextAdjVex(mg,v,w)对于v的每一个邻接点进行考察if(visitedw=false)当该结点未被访问时DFS(mg,w);进行深度优先遍历49;.练习题:对于下面一个图及其存储结构,写出以v2、v8为起始点的深度优先遍历序列。50;.01v12v23V34V45v56v67v78v8v2v3v1v4v5v1v6v7v2v8v2v8v3v7v3v6v4v5v1v2v3v4v5v6v7v8例图及其邻接表
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