COMP 250. Lecture 29. graph traversal. Nov. 15/16, 2017

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1 COMP 250 Ltur 29 rp trvrsl Nov. 15/16,

2 Toy Rursv rp trvrsl pt rst Non-rursv rp trvrsl pt rst rt rst 2

3 Hs up! Tr wr w mstks n t sls or S. 001 or toy s ltur. So you r ollown t ltur rorns n usn ts (orrt) sls, tn you wll not som rns. 3

4 Rll: tr trvrsl (rursv) ptrst Tr (root){ (root s not mpty){ root.vst = tru // prorr or l o root ptrst Tr( l ) 4

5 Grp trvrsl (rursv) N to spy strtn vrtx. Vst ll nos tt r rl y pt rom strtn vrtx. 5

6 Grp trvrsl (rursv) ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E // w n v.jlst? // Hr vstn just mns rn 6

7 Grp trvrsl (rursv) ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E // w n v.jlst! (w.vst) // vos yls ptfrst_grp(w) // Hr vstn just mns rn 7

8 Cll Stk or ptfrst() ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E! (w.vst) ptfrst_grp(w) 8

9 Cll Stk or ptfrst() ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E! (w.vst) ptfrst_grp(w) 9

10 Cll Stk or ptfrst() ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E! (w.vst) ptfrst_grp(w) 10

11 Cll Stk or ptfrst() ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E! (w.vst) ptfrst_grp(w) 11

12 Cll Stk or ptfrst() ptfrst_grp(v){ v.vst = tru or w su tt (v,w) s n E! (w.vst) ptfrst_grp(w) 12

13 root Cll Tr 13

14 Exmpl 2 Wt s t ll tr or ptfrst( )? Ajny Lst - (,) - (,,) - (,) - (,,) - (,,,) - (,,) - (,) - (,,) - (,) 14

15 Exmpl 2 ll tr or ptfrst() 15

16 Q: Non-rursv rp trvrsl? A: Smlr to tr trvrsl: Us stk or quu. 16

17 Rll: pt rst tr trvrsl (wt slt vrton) trtrvrslusnstk(root){ ntlz mpty stk s vst root s.pus(root) wl s s not mpty { ur = s.pop() or l o ur{ vst l s.pus(l) Vst no or pusn t onto t stk. Evry no n t tr ts vst, pus, n tn popp. 17

18 Gnrlz to rps rptrvrslusnstk(v){ ntlz mpty stk s v.vst = tru s.pus(v) wl (!s.mpty) { u = s.pop() or w n u.jlst{ (!w.vst){ w.vst = tru s.pus(w) // t only nw prt 18

19 Exmpl: rptrvrslusnstk() 19

20 Exmpl: rptrvrslusnstk() T trvrsl ns tr, ut t s not ll tr. Wy not? s popp n ot n r pus. 20

21 Exmpl: rptrvrslusnstk() s popp n ot n r pus. 21

22 Exmpl: rptrvrslusnstk() s popp n s pus. 22

23 Exmpl: rptrvrslusnstk() s popp n s pus. 23

24 Exmpl: rptrvrslusnstk() s popp n s pus. 24

25 Exmpl: rptrvrslusnstk() s popp n s pus. 25

26 Exmpl: rptrvrslusnstk() Orr o nos vst: 26

27 Rll: rt rst tr trvrsl (s ltur 20) or lvl vst ll nos t lvl trtrvrslusnquu(root){ ntlz mpty quu q q.nquu(root) wl q s not mpty { ur = q.quu() vst ur or l o ur q.nquu(l) j k 27

28 Brt rst rp trvrsl Gvn n nput vrtx, n ll vrts tt n r y pts o lnt 1, 2, 3, 4,. 28

29 Brt rst rp trvrsl rptrvrslusnquu(v){ ntlz mpty quu q v.vst = tru q.nquu(v) wl (! q.mpty) { u = q.quu() or w n u.jlst{ (!w.vst){ w.vst = tru q.nquu(w) 29

30 Exmpl rptrvrslusnquu() quu 30

31 Exmpl rptrvrslusnquu() quu 31

32 Exmpl rptrvrslusnquu() quu Bot, r vst n nquu or s quu. 32

33 Exmpl rptrvrslusnquu() quu 33

34 rptrvrslusnquu() It ns tr wos root s t strtn vrtx. It ns t sortst pt (numr o vrts) to ll vrts rl rom strtn vrtx. 34

35 Exmpl: rptrvrslusnquu() 1 35

36 Exmpl: rptrvrslusnquu()

37 Exmpl: rptrvrslusnquu()

38 Exmpl: rptrvrslusnquu()

39 Exmpl: rptrvrslusnquu()

40 Exmpl: rptrvrslusnquu()

41 Exmpl: rptrvrslusnquu()

42 Exmpl: rptrvrslusnquu()

43 Exmpl: rptrvrslusnquu()

44 Exmpl: rptrvrslusnquu() T trvrsl ns tr, ut t s not ll tr. Wy not? 44

45 Rll: How to mplmnt Grp lss n Jv? lss Grp<T> { HsMp< Strn, Vrtx<T> > vrtxmp; lss Vrtx<T> { ArryLst<E> T ooln jlst; lmnt; vst; lss E { Vrtx oul : nvrtx; wt;

46 HEADS UP! Pror to trvrsl,. or w n V w.vst = ls How to mplmnt ts? 46

47 HEADS UP! Pror to trvrsl,. or w n V w.vst = ls How to mplmnt ts? lss Grp<T> { HsMp< Strn, Vrtx<T> > : pul vo rstvst() { vrtxmp; 47

48 HEADS UP! Pror to trvrsl,. or w n V w.vst = ls How to mplmnt ts? lss Grp<T> { HsMp< Strn, Vrtx<T> > vrtxmp; : pul vo rstvst() { or( Vrtx<T> v : vrtxmp.vlus() ){ v.vst = ls; [ASIDE: I somtn unnssrly omplt on t S.001 sls. Wt I v ov s ttr. ] 48

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