📄 da07b.htm
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lang=EN-US style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">{<B
style="mso-bidi-font-weight: normal">int</B> i,j,v; //</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">假定<SPAN
style="COLOR: red">权</SPAN>值为整型<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 34.2pt; mso-char-indent-count: 3.0"><SPAN
lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">scanf("%d",&n);<o:p></o:p></SPAN></P>
<P class=MsoNormal
style="MARGIN-LEFT: 8.2pt; TEXT-INDENT: 22.8pt; mso-char-indent-count: 2.0; mso-para-margin-left: .72gd"><SPAN
lang=EN-US style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><B
style="mso-bidi-font-weight: normal">for</B>(i=1,i<=n;i++)<SPAN
style="mso-spacerun: yes"> </SPAN>//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">建立顶点向量<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="MARGIN-LEFT: 8.25pt"><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN style="mso-spacerun: yes">
</SPAN>{ scanf(&g[i].vertex);<SPAN
style="mso-tab-count: 1"> </SPAN>g[i].firstin=null;
g[i].firstout=null;}<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>scanf("%d%d%d",&i,&j,&v);<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN><B
style="mso-bidi-font-weight: normal">while</B> (i && j &&
v)<SPAN style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">当输入<SPAN
lang=EN-US>i,j,v</SPAN>之一为<SPAN lang=EN-US>0</SPAN>时<SPAN
lang=EN-US>,</SPAN>结束算法运行<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>{p=(OrArcNode
*)malloc(sizeof(OrArcNode)); //</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">申请结点<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>p->headvex=j;<SPAN
style="mso-tab-count: 1"> </SPAN>p->tailvex=i;<SPAN
style="mso-tab-count: 1"> </SPAN>p->weight=v;<SPAN
style="mso-spacerun: yes"> </SPAN>//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">弧结点中<SPAN
style="COLOR: red">权</SPAN>值域<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>p->headlink=g[j].firstin;
g[j].firstin=p;<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>p->tailink=g[i].firstout;
g[i].firstout=p;<o:p></o:p></SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 34.2pt; mso-char-indent-count: 3.0"><SPAN
lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">scanf("%d%d%d",&i,&j,&v);<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-tab-count: 1"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>} }</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">算法结束<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 22.8pt; mso-char-indent-count: 2.0"><SPAN
lang=EN-US style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">[</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">算法讨论<SPAN lang=EN-US>]<SPAN
style="mso-spacerun: yes"> </SPAN></SPAN>本题已假定输入的<SPAN
lang=EN-US>i</SPAN>和<SPAN lang=EN-US>j</SPAN>是顶点号<SPAN
lang=EN-US>,</SPAN>否则<SPAN lang=EN-US>,</SPAN>顶点的信息要输入<SPAN
lang=EN-US>,</SPAN>且用顶点定位函数求出顶点在顶点向量中的下标。图建立时，若已知边数（如上面<SPAN
lang=EN-US>1</SPAN>和<SPAN lang=EN-US>2</SPAN>题），可以用<B
style="mso-bidi-font-weight: normal"><SPAN
lang=EN-US>for</SPAN></B>循环；若不知边数，可用<B
style="mso-bidi-font-weight: normal"><SPAN
lang=EN-US>while</SPAN></B>循环（如本题），规定输入特殊数（如本题<SPAN
style="COLOR: red">的零值</SPAN>）时结束运行。本题中数值设为整型，否则应以和数值类型相容的方式输入。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">5</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">．<B
style="mso-bidi-font-weight: normal"><SPAN lang=EN-US>void</SPAN></B><SPAN
lang=EN-US> InvertAdjList(AdjList gin,gout</SPAN>）<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
style="TEXT-INDENT: 34.1pt; mso-char-indent-count: 2.99"><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">将有向图的出度邻接表改为按入度建立的逆邻接表<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN>{<B
style="mso-bidi-font-weight: normal">for</B> (i=1;i<=n;i++)//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">设有向图有<SPAN
lang=EN-US>n</SPAN>个顶点，建逆邻接表的顶点向量。<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN>{gin[i].vertex=gout[i].vertex;
gin.firstarc=null; }<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN><B
style="mso-bidi-font-weight: normal">for</B> (i=1;i<=n;i++)<SPAN
style="mso-spacerun: yes"> </SPAN>//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">邻接表转为逆邻接表。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>{p=gout[i].firstarc;//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">取指向邻接表的指针。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN><B
style="mso-bidi-font-weight: normal">while</B> (p!=null)<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>{ j=p->adjvex;<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>s=(ArcNode *)malloc(sizeof(ArcNode));//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">申请结点空间。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>s->adjvex=i; s->next=gin[j].firstarc;
gin[j].firstarc=s;<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>p=p->next;//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">下一个邻接点。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>}//<B
style="mso-bidi-font-weight: normal">while</B><o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN>}//<B
style="mso-bidi-font-weight: normal">for</B> <SPAN
style="mso-spacerun: yes"> </SPAN>}<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">6. <B
style="mso-bidi-font-weight: normal">void</B><SPAN
style="mso-spacerun: yes"> </SPAN>AdjListToAdjMatrix(AdjList gl, AdjMatrix
gm)<o:p></o:p></SPAN></P>
<P class=MsoNormal
style="TEXT-INDENT: 45.35pt; mso-char-indent-count: 3.98"><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">将图的邻接表表示转换为邻接矩阵表示。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal
style="TEXT-INDENT: 22.55pt; mso-char-indent-count: 1.98"><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">{<B
style="mso-bidi-font-weight: normal">for</B> (i=1;i<=n;i++)<SPAN
style="mso-spacerun: yes"> </SPAN>//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">设图有<SPAN
lang=EN-US>n</SPAN>个顶点，邻接矩阵初始化。<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN><B
style="mso-bidi-font-weight: normal">for</B> (j=1;j<=n;j++)
gm[i][j]=0;<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN><SPAN
style="mso-spacerun: yes"> </SPAN><B
style="mso-bidi-font-weight: normal">for</B>
(i=1;i<=n;i++)<o:p></o:p></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes">
</SPAN>{p=gl[i].firstarc;<SPAN style="mso-spacerun: yes">
</SPAN>//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">取第一个邻接点。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN><B
style="mso-bidi-font-weight: normal">while</B> (p!=null)
{gm[i][p->adjvex]=1;p=p->next; }//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">下一个邻接点<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt"><SPAN
style="mso-spacerun: yes"> </SPAN>}//<B
style="mso-bidi-font-weight: normal">for</B> <SPAN
style="mso-spacerun: yes"> </SPAN>}//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">算法结束<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">7. <B
style="mso-bidi-font-weight: normal">void</B><SPAN
style="mso-spacerun: yes"> </SPAN>AdjMatrixToAdjList( AdjMatrix gm,
AdjList gl )<o:p></o:p></SPAN></P>
<P class=MsoNormal
style="TEXT-INDENT: 45.35pt; mso-char-indent-count: 3.98"><SPAN lang=EN-US
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">//</SPAN><SPAN
style="FONT-FAMILY: 宋体; mso-bidi-font-size: 10.5pt">将图的邻接矩阵表示法转换为邻接表表示法。<SPAN
lang=EN-US><o:p></o:p></SPAN></SPAN></P>
<P class=MsoNormal style="TEXT-INDENT: 22.8pt; mso-char-indent-count: 2.0"><SPAN
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