Graph Search (6A) Young Won Lim 5/18/18

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1 Grp Sr (6A) Youn Won Lm

2 Copyrt () Youn W. Lm. Prmon rnt to opy, trut n/or moy t oumnt unr t trm o t GNU Fr Doumntton Ln, Vron 1.2 or ny ltr vron pul y t Fr Sotwr Founton; wt no Invrnt Ston, no Front-Covr Txt, n no Bk-Covr Txt. A opy o t ln nlu n t ton nttl "GNU Fr Doumntton Ln". Pl n orrton (or uton) to younwlm@otml.om. T oumnt w prou y un LrO n Otv. Youn Won Lm

3 Grp Trvrl rp trvrl (rp r) rr to t pro o vtn (kn n/or uptn) vrtx n rp. Su trvrl r l y t orr n w t vrt r vt. Tr trvrl pl o rp trvrl. ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 3 Youn Won Lm

4 Gnrl Grp Sr Alortm Sr( trt, Gol, rtr) nrt(strt, Opn); rpt (mpty(opn)) tn rturn l; lt no rom Opn un Crtr; mrk no vt; (Gol(no)) tn rturn no; ttp://our..wnton.u/our/326/08w//ltur/ltur13.p Grp Sr (6A) 4 Youn Won Lm

5 DFS Opn Stk Crtr pop DFS( Strt, Gol) pu(strt, Opn); rpt (mpty(opn)) tn rturn l; no := pop(opn); Mrk no vt; (Gol(no)) tn rturn no; or l o no o (l not lry vt) tn pu(l, Opn); ttp://our..wnton.u/our/326/08w//ltur/ltur13.p Grp Sr (6A) 5 Youn Won Lm

6 BFS Opn Stk Crtr quu BFS( Strt, Gol) nquu(strt, Opn); rpt (mpty(opn)) tn rturn l; no := quu(opn); mrk no vt; (Gol(no)) tn rturn no; or l o no o (l not lry vt) tn nquu(l, Opn); ttp://our..wnton.u/our/326/08w//ltur/ltur13.p Grp Sr (6A) 6 Youn Won Lm

7 Alortm Sr Intlz ollow: unmrk ll no n N; mrk no ; pr() = 0; {tt, t no pror} LIST = {} wl LIST ø o lt no n LIST; no nnt to n ml r (,j) tn mrk no j; pr(j) := ; no j to t n o LIST; l lt no rom LIST ttp://ow.mt.u/our/lon-ool-o-mnmnt/15-082j-ntwork-optmzton-ll-2010/ltur-not/mit15_082jf10_l03.p Grp Sr (6A) 7 Youn Won Lm

8 Alortm Sr Intlz ollow: unmrk ll no n N; mrk no ; pr() = 0; {tt, t no pror} LIST = {} wl LIST ø o lt no n LIST; no nnt to n ml r (,j) tn mrk no j; pr(j) := ; no j to t n o LIST; l lt no rom LIST DFS : lt t lt no n LIST; BFS : lt t rt no n LIST; ttp://ow.mt.u/our/lon-ool-o-mnmnt/15-082j-ntwork-optmzton-ll-2010/ltur-not/mit15_082jf10_l03.p Grp Sr (6A) 8 Youn Won Lm

9 Alortm Sr Intlz ollow: unmrk ll no n N; mrk no ; pr() = 0; {tt, t no pror} LIST = {} wl LIST ø o lt no n LIST; no nnt to n ml r (,j) tn mrk no j; pr(j) := ; no j to t n o LIST; l lt no rom LIST DFS : lt t lt no n LIST; BFS : lt t rt no n LIST; ttp://ow.mt.u/our/lon-ool-o-mnmnt/15-082j-ntwork-optmzton-ll-2010/ltur-not/mit15_082jf10_l03.p Grp Sr (6A) 9 Youn Won Lm

10 Alortm Sr pr(j) no tt pr j on om pt rom ; A no tr mrk or unmrk. Intlly only no mrk. I no mrk, t rl rom no. An r (,j) A ml no mrk n j not. j k ttp://ow.mt.u/our/lon-ool-o-mnmnt/15-082j-ntwork-optmzton-ll-2010/ltur-not/mit15_082jf10_l03.p Grp Sr (6A) 10 Youn Won Lm

11 DFS ttp://n.wkvrty.or/wk/artl_ntlln/ltur_ OPEN CLOSED x x Grp Sr (6A) 11 Youn Won Lm

12 BFS ttp://n.wkvrty.or/wk/artl_ntlln/ltur_ OPEN CLOSED y y Grp Sr (6A) 12 Youn Won Lm

13 Expn Funton ttp://n.wkvrty.or/wk/artl_ntlln/ltur_ DFS (Dpt Frt Sr) BFS (Brt Frt Sr) Stk Quu Grp Sr (6A) 13 Youn Won Lm

14 DFS Puoo 1 prour DFS(G, v): 2 ll v xplor 3 or ll n G.nntE(v) o 4 unxplor tn 5 w G.jntVrtx(v, ) 6 vrtx w unxplor tn 7 ll ovr 8 rurvly ll DFS(G, w) 9 l 10 ll k ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 14 Youn Won Lm

15 Dpt Frt Sr Exmpl ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 15 Youn Won Lm

16 Grp Sr (6A) 16 Youn Won Lm Dpt Frt Sr Exmpl ttp://n.wkp.or/wk/grp_trvrl

17 Grp Sr (6A) 17 Youn Won Lm Dpt Frt Sr Exmpl ttp://n.wkp.or/wk/grp_trvrl

18 DFS A pt-rt r (DFS) n lortm or trvrn nt rp. DFS vt t l vrt or vtn t ln vrt; tt, t trvr t pt o ny prtulr pt or xplorn t rt. A tk (otn t prorm' ll tk v ruron) nrlly u wn mplmntn t lortm. ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 18 Youn Won Lm

19 DFS Bktrk T lortm n wt on "root" vrtx; t tn trtvly trnton rom t urrnt vrtx to n jnt, unvt vrtx, untl t n no lonr n n unxplor vrtx to trnton to rom t urrnt loton. T lortm tn ktrk lon prvouly vt vrt, untl t n vrtx onnt to yt mor unrt trrtory. It wll tn pro own t nw pt t or, ktrkn t nountr -n, n nn only wn t lortm ktrk pt t ornl "root" vrtx rom t vry rt tp. ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 19 Youn Won Lm

20 Brt Frt Sr Exmpl ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 20 Youn Won Lm

21 Grp Sr (6A) 21 Youn Won Lm Brt Frt Sr Exmpl ttp://n.wkp.or/wk/grp_trvrl

22 Grp Sr (6A) 22 Youn Won Lm Brt Frt Sr Exmpl ttp://n.wkp.or/wk/grp_trvrl

23 BFS A rt-rt r (BFS) notr tnqu or trvrn nt rp. BFS vt t nor vrt or vtn t l vrt quu u n t r pro T lortm otn u to n t ortt pt rom on vrtx to notr. ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 23 Youn Won Lm

24 BFS Puoo 1 prour BFS(G, v): 2 rt quu Q 3 nquu v onto Q 4 mrk v 5 wl Q not mpty: 6 t Q.quu() 7 t wt w r lookn or: 8 rturn t 9 or ll n G.jntE(t) o 12 o G.jntVrtx(t, ) 13 o not mrk: 14 mrk o 15 nquu o onto Q 16 rturn null ttp://n.wkp.or/wk/grp_trvrl Grp Sr (6A) 24 Youn Won Lm

25 Rrn [1] ttp://n.wkp.or/ [2] Youn Won Lm

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