0\0\ 600 - - 0′?4????UY?? l ò,Xn l ò,X,|4§X l ò,XF! Z?0 l ò,X′tL _K?Nl E??E?? 6.1 ò,Xn 6.2 ò,X,|4§X 6.3 ò,XF! Z 6.4 ??*ó??K?Nl 6.5 §%fcK?Nl 6.1 ò,Xn ò,Xn 6.1.1 n ò +4§&?,XY0KL? ü V `E?,XL? ü E4???J èZa?64§Xt1 ?è ü ò4§X  ú4§ &?/? NJ&? è E? NJ&?,XYcJíè81?tNJ&?Kè , ü?5E?è></E-?tNJ&?KY,ìF?G2?? ò 6-1 (a) (b) üTM6?t ò4§Xè?t Y ? ò è G!£5 E?F?Y? ?è o?t ′ ? ò è G!£5E?F?"uY? ?? üY ? òèE? úE?/?0 ? è ?1?,X?0? /? ? è o?0?/? ? èA?0 <vi,vj>èW></ ¢NJ&? viNJ&? vjY?5E?? 81Y ? òY ntNJ&?èí??Y n(n-1)5?è ?à ?úKY n(n-1)5?,XY ? ò/?0 Y ?`< ò ? 1NJ&? v?,X?,XD,?/?0NJ&? v,X ?z è 1NJ&? v?,X?,XD,?/?0NJ&? v,X 9z ? ü′ ? òèE?A?0 (vi,vj)èW;H#?-, ü < vi,vj> ` <vj,vi>?5??81′ ? òY ntNJ&?èí ??Y n(n-1)/25E?è?à ?úKY n(n-1)/25E?,X ′ ? ò/?0 ′ ?`< ò ? aNJ&? v,ìG,XE?,X5D/?0NJ&? v,X z ? C?XKSz ?C?XTE?ê?,XD,?? 811?tNJ&? `? a?tNJ&?,ì àèíE-5C? X?5 2C? ? 81C?XNJ&?"uYG?á?)?èí/?E-5C?X 1T )C?X ? ü′ ? òèVp¢NJ&? viNJ&? vjYC?Xè í/? vi ` vjE2E??Vp ò???tNJ&?KèF?E2E?è í/?A1 ò E2E? ò è úíèúJ,XU?E2E?$ ò/?  E2E?úG£ ? üY ? òèVpíb!£?íNJ&? vi ` vjè¢ vi  vj `¢ vj viF?YC?Xèí/?A1 ò E2E? ò × ú íèúJ,XU?E2E?$ ò/? E2E?úG£ ? 6.1.2 ò,X ??0 ??0? ? 1????t ò4§X CreateGraph(G) ? 2??2?4-nNJ&? LocateVex(G,item) ? 3?9? a ò¤tNJ&? GetVex(G,v) ? 4? òNJ&?C PutVex(G,v,value) ? 5?E¨ 21?tF?y&? FirstAdjVex(G,v) ? 6?E¨ 2??tF?y&? NextAdjVex(G,v,w) ? 7?|9?tNJ&? InsertVex(G,v) ? 8??L8?tNJ&? DeleteVex(G,v) ? 9?|9?5E? InsertEdge(G,v,w) ? 10??L8?5E? DeleteEdge(G,v,w) ? 11?F! Z ò Traverse(G,v) 6.2 ò,X,|4§X ò,X,|4§X 6.2.1 F?y-?L 1. Y ? ò,XF?y-?L KY ntNJ&?,XY ? ò ?1*ü?t n×n,X?6-?L ></?A?A1-?L ,X á/? Mèí' <vi,vj>A1Y ? ò ,X?5?êè M[i,j]=1× úí M[i,j]=0?1 itNJ&?,X ?z-?L 1 i>  3′,XtD×9z1 i? 3′,X tDèJèY ? ò?,X5D1b-?L  3′,XtD? ê 2 ′ ? ò,XF?y-?L KY ntNJ&?,X′ ? ò3 ?1*ü?t n×n,X?6-? L ></?A?A1-?L ,X á/? Mèí'? vi,vj?A1′ ? ò,X?5E?êè M[i,j]=M[j,i]=1× úíè M[i,j]=M[j,j]=0?1 itNJ&?,Xz-?L 1 i>  3′ ,XtDê1 i? 3′,XtD? òE?,XD,?1b-?L  3′,XtD,X? èE- ′!£5E? ü-?L £E?Z ? ?? ò 6-4 ò 6-5 ü CAá??èr)?F?y-?L ></"?,X2O _nV? /? #define MAX_VERTEX_NUM 20 typedef struct graph{ EntryType item[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; int n; }Graph; 6.2.2 F?y>< E?4§&?,X4§X? adjvex next adjvexA1E?ê?qL,XNJ&? üD4?,X??è next? ???5E?ê?4§&?,X?J\? ò 6-6 itemNJ&?Y?è firstedge? ?1?5E?ê?4§&?,X? J\? ü CAá??èr)?F?y><></"?,X2O _nV?/? #define MAX_VERTEX_NUM 30 //??NJ&?tD type struct EdgeNode{ //E?4§&? X??4èD4?,XNJ&?4§X? item firstedge int adjvex; struct EdgeNode *next; }EdgeNode; typedef struct VexNode{ //NJ&?4§&? EntryType item; EdgeNode *firstedge; }VexNode,AdjList[MAX_VERTEX_NUM]; ??Y ? ò `′ ? òF?y><,X1k"?r)?? (1)??Y ? òF?y>< void Create_adj(AdjList adj, int n) { for (i=0;i<n;i++){ //??êNJ&?D4? scanf(&adj[i].item); adj[i].firstedge=NULL; } scanf(&i,&j); //Eg9? while (i) { s=(EdgeNode*)malloc(sizeof(EdgeNode)); //???,X?4§&? s->adgvex=j-1; s->next=adj[i-1].firstedge; //ú?,X?4§&?|9,ìh,X!5B adj[i-1].firstegde=s; scanf(&i,&j); //Eg9??5? } } ? 2???′ ? ò,XF?y>< void Create_adj(AdjList adj, int n) { for (i=0;i<n;i++){ //??êF?y>< scanf(&adj[i].item); adj[i].firstedge=NULL; } scanf(&i,&j); //Eg9E? while (i) { s1=(EdgeNode*)malloc(sizeof(EdgeNode)); s1->adgvex=j-1; s2=(EdgeNode*)malloc(sizeof(EdgeNode)); s2->adgvex=i-1; s1->next=adj[i-1].firstedge; adj[i-1].firstegde=s1; s2->next=adj[j-1].firstedge; adj[j-1].firstegde=s2; scanf(&i,&j); } } 6.3 ò,XF! Z ò,XF! Z  ??,X òF! Z??Y?/??#?zìF! Z `Sz ìF! ZèE-?/?F! Z??íY ? ò `′ ? ò E? *ü? 6.3.1 #?zìF! Z #?zìF! Z,X??2Ob?,XcF! Z?JF! ZE?/? ?1£E??¢ ò¤tNJ&? v? ¥èA?K?A1NJ &?è' aq ?¢ v,Xt>A?K?,XF?y&?? ¥4?4á#?zì F! Z ò,XJ-NJ&?è,è7? òYa vYC?X,ìE? ,XNJ&?F?>A?K?`!6? ?M6?àA|A???V)r)?#?zì1k"?? Z?b ü1k"? úNJ&? ú?>A?K?E?èL? ?U???t?4èD4? visited[0..n-1]? n òNJ&?,XD ,??è*ü9A?5BA?K???èJ?? visited[i] ? 00 i0 n-1? 3′è></F?y><?? i,XNJ&? "uY>A?K?E?è?oA1NJ&?>A?K?èú visited[i]5B? 3′? int visited[0..n-1]={0,0,...0}; void DFS(AdjList adj,int v) {//vF! ZCK?&?,X üF?y><,X??èJ?? ¢ 0?? visited[v]=1; visite(adj[v].item); for (w=adj[v].firstedge;w;w=w->next) if (!visited[w->adjvex]) DFS(adj,w->adjvex); } íb′ ? òèE-t1k"? ?1F! Z vNJ&? ü,XE2 E?úG£,XYNJ&?è5àa vNJ&?á ü?tE2E?úG£ ,XYNJ&?F! Zá×5àíbY ? ò ?1F! ZCK? NJ&? v6?óE?,XYNJ&??81à?F! Z ò,XY NJ&?èL??U üTE?#?zìF! Z1k"?,X ?.Tèr tí!£tNJ&?A?K?(??,X?#? int visited[0..n-1]={0,0,...0}; void DFSTraverse(AdjList adj) { for (v=0;v<n;v++) if (!visited[v]) DFS(adj,v); } 6.3.2 SzìF! Z í ò,XSzìF! Z?"?£E??¢ ò¤tNJ &? v? ¥è üA?K?A1NJ&? v aèq ?A?K? v,XYt> A?K?E?,XF?y&?è' aaA?K?!£tF?y&?,XF?y&?è èA?K?NNch±?>A?K?,XNJ&?JF?y&?3ì> A?K?è,è ò,XYNJ&?F?>A?K?!6??M6í ?t′ ? òEˉ> SzìF! Z,XE?/?? ?M6?àA|A???r)?SzìF! Z1k"?L??U5× <%,X′tK?Nl? ? 1? üSzìF! Zè?U">A?K?,XNJ&?J F?y&?3>ìA?K?è ′!8è?NOí!£tNJ&?,XA?K? NNcEˉ> A?)è1? aM6Y!8NNcA?K? ?NJ&?,XF?y &??hy*ü?tKó?4§XA?)NJ&?A?K?NNcè ?1 y*üKó?4§X,X?0(M&?èúA?K?,X!£tNJ&?9Kóè ' aèaq ??KóèJA?K?Wà,XA?1j ? 2? üSzìF! ZE?/? à#?zìF! Z?  èZFS!G?áA?K?¤tNJ&?è3L??U???t? 4èD4? visited[0..n-1]? n òNJ&?,XD,??è*ü9A? )!£tNJ&? ú?4£>A?K?E?? int visited[0..n-1]={0,0,...0}; void BFS(AdjList adj,int v) {//vF! ZCK?&? üF?y><,X??èF?y><??¢ 0 ?? InitQueue(Q); //QKó? visited[v]=1; visite(adj[v].item); EnQueue(Q,v); while (!QueueEmpty(Q)) { DeQueue(Q,v); for (w=adj[v].firstedge;w;w=w->next) if (!visited[w->adjvex]) { visited[w->adjvex]=1; visite(adj[w->adjvex].item); EnQueue(Q,w->adjvex); } } } 6.4 ??*ó??K?Nl??*ó??K?Nl 6.4.1 ò,X*ó?? `?k íb?t1Y ntNJ&?,X′ ?E2E? òèW,XE?D? n?- n-15?81¢EY? n-15E?èSk′ ? ò?' E2E?èí+ ntNJ&? ?E- n-15E????4??,X ò>/?  s′ ? ò,X *ó?? ?/Z?t′ ?E2E? ò,X*ó? ?è ?4? ü></,XNJ&?*ó??,X 4§&?? ò 6-10 ò 6-11 ò 6-12 ò 6-13 6.4.2 ??*ó?? ü?t òè!£5E?ê? ?11Y?ta,ìG ,XDè?àúW/?  ?E-o ?1KY?n,X ? è!¨Vè></?tNJ&?E? o?tNJ&?,XC±/?? 8?C ,XêKè?4?C?,XE??11?E-/?ú,X òE? > /?0 5% ? òê5%,X*ó??á ?,Xè¢á à,XNJ&?? ¥ ?1*ó?á à,X*ó??è nt4§&?,X*ó???nY n- 15E?? ò 6-14 ò 6-15 ?M6?àAu1k??TM6?é*ó??,X `? 1?é*ó??,X `? 16+11+5+6+18=56×1 `é*ó??,X? 16+19+33+18+6=92?E? ?à ú `??,X*ó??/? ??*ó?? ? XE???*ó??,X?"????*ó??0Nè G"u Y?t4§&? `?5E?èOjEY??tNJ&?0*ó?? ,X è' a!£ ?¢á ü*ó??,XE?EY??5  ?6??,XE?èZ±A?t9*ó??,XE?á?E? ? 2C?èaA1E?F?y,X?tNJ&??NO?t?4£ ü*ó? ?è ?tíá ü*ó??è815%Y ntNJ&??E-G?5×<%,X 5%?tE2E?′ ? ò?èíYE-/?5êEY? n-1E? ? 1kE-t5%,X??*ó??Z?Ao4?,XE?/? ?1£E? ?A?5B 2tL? üè UL? ü,X2? ü*ó??,X4§ &?è V-UL? ü,X2?á ü*ó??,XNJ&??Oj EY??t0*ó?? 4§&?,XNJ&?èJúW9 UL? üè' a üFwo?0?NJ&? ü UL? üè5à o?0?NJ&? ü V-UL? ü,XE?R?5??,XE?èJ^E-5E? ` Fwtá ü UL? ü,XNJ&?t9*ó??è GEg?E-5 E?è' aúJNJ&?#?t UL? üèG?áE-t?0 n-1 ?? ?M6?à5×<%??V)r)?E-t?0E?/?,X1k "?? úd?? 1?W?UY?NM?0?Y5êEY?? 5E? `úNJ&?t9 UL? ü×? 2?5%,X!£tNJ&? á ü UL? üè ü V-UL? ü?Z¤P?1k"?,X êKè?0NKè)[è?àúE-t1k"?A?Au?tEY}D 4? closedgeè*ü9A?)¢L? ü UL? ü V-UKY?? ,XE??í!£t2b V-UL? ü,XNJ&?è üEY}D4? , ü?t,ìh,XúG£ closedge[i-1]èWùà?t 3è? t 3*ü9></ üA1NJ&?a V-UL? ü¤oNJ&?X?,X E???,XFw5E?,Xè81A1NJ&?Eˉ9 UL? üèí  0× o?t 3></E-5??,XE?íh,X ü V-U L? ü,XNJ&????J2O _nV?/? #define MAX_NUM 10 struct { int adjvex; float lowcist; }closedge[MAX_NUM]; Ht1k"?,X;> E?/? ?1£E?? {??ê closedgeD4?,XY?× EY?¤tNJ&? k0*ó??,X 4§&?èJúWt9 UL? ü× G?á???0 n-1 ?? l EY??5$μC?5ê,XE?× l Eg?E-5E?,X?t0?&?× l ? V-UL? ü,XNJ&?μCè Ga UL? üX??? ,XE?? } A?A15%1F?y-?L ,X6?4-?èí`H,X1k"?? void Mini_SpanTree(Graph G,int k,int n) {//G5%,XF?y-?L è k*ó?? 4§&?,Xc ?è n5%,X NJ&?D,? for (j=0;j<n;j++) if (j!=k) closedge[j]={k,G[k][j]}; closedge[k].lowcost=0; for (i=1;i<n;i++) { k=minmun(closedge); printf(k,closedge[k].adjvex); closedge[k].lowcost=0; //úNJ&?t9 UL? ü for (j=0;j<n;j++) if (closedge[i]&&G[k][j]<closedge[j].lowcost) closedge[j]={k,G[k][j]}; } } 6.5 §%fcK?Nl§%fcK?Nl §%fcY ? ò,X?tG??U?0? ü4-n,XY ? ò Gè81NJ&?c? vi1,vi2,...,vin$μC???5ê?81 ü Y ? ò G¢NJ&? viNJ&? vjY?5C?Xèí üc? NJ&? vi? üNJ&? vj!è?/?E-tc??t §%c ? ?"?tY ? ò§%c?,XE?/?/? §%fc ? _?Au1k??,X:*óhA1:4,XF?úAò/? ? J!£K?Aò/?L??U,X?Aò/?? Aò/?· ? Aò/? á/? ?Aò/? c1 P?1D: c2 Au1k ?. c3 /?7D: c1,c2 c4 DB4§X c2,c3 c5 /?cA?Au c2 c6 4êA¥ s)ú c4,c5 c7 ?02?43 c4,c9 c8 BE?(=)ú c1 c9 Au1k s)ú c8 ò 6-16 §%fc,X?"?? ? 1?¢ òEY??t9z 0,XNJ&?èEg?× ? 2?¢ ò?]A1NJ&? ?JY1A1NJ&?? ,X?× ?á;> E-?t!9Pxè,èY,XNJ&?F?>Eg ?èEg?,Xc?E-t′)?Y ? ò,X§%c??4? ?,XA?5ù ?6?? ¥)?? ü!£?êè ?6? àê, ü? t9z 0,XNJ&?èEY?"??>< c1~c9?></,X!£ tNJ&?,X9z? ?M6?àA|A???V)r)?§%fc,X1k"?? A?Y ? ò1F?y><,X6?,|? ?M64-?1k"?r)?,X ?E?/?? { úY9z 0,XNJ&?9ü× 'üM20NêG?á;> ???0? ¢üE??NJ&? k× ? 1?ú kNJ&?,XμCEg?× ? 2?úa kF?y,XYNJ&?,X9z£ 1? } #define MAX_VERTEX_NUM 30 //??NJ&?tD type struct EdgeNode{ //E?4§&? int adjvex; struct EdgeNode *next; }EdgeNode; typedef struct VexNode{ //NJ&?4§&? EntryType item; int indegree; //A?)NJ&?,X9z EdgeNode *firstedge; }VexNode,AdjList[MAX_VERTEX_NUM]; ?M6§%fc,X`H1k"?? Status TopologicalSort(AdjList adj) { InitStack(s); for (i=0;i<MAX_VERTEX_NUM-1;i++) if (adj[i].indegree==0) Push(s,i); while (!StackEmpty(s)) { Pop(s,i); printf(i); for (p=adj[i].firstedge;p;p=p->next) { adj[i].indegree-=1; if (adj[i].indegree==0) Push(s,i); } } }