Upload
others
View
8
Download
0
Embed Size (px)
Citation preview
"
1/47
–
5
"
2/47
"
3/47
"
4/47
,,)(.
,-)(,
.
:,–,
"
5/47
.
,,,.
.
.
-,.
"
6/47
"
7/47
"
8/47
"
9/47
) ( ?) ,
, ?(
.
. , 1.
) ( n n-1.
"
10/47
n-1 ?
"
11/47
:,G=(V,E,w),,
:
:)Greedy(
"
12/47
– -S-A(S)
.(u,v)-A(S)-u-S-v-S.:
Minimize:
=,
Subject to:
,
= 1
,
= 1
0,1 ,
"
13/47
–
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
14/47
- ,
.
.
"
15/47
)(
.1,,
.2i=1
.3i,,
.4i-1)i=i+1(
.5i,,3
"
16/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
17/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
18/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
19/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
20/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
21/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
22/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
23/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
24/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
25/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
26/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
27/47
-
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
15DE
11FG
9EG
9DB
8EF
8BC
7BE
7AB
6DF
5CE
5AD
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7
"
28/47
-
7
5
96
5
A
B
C
E
G
F
D
7
:5+5+6+7+7+9=39
"
29/47
– S ,-e
-S . ,T* , e.
) :( -e ,T* , :
e ,T* , C.
C , f , -S.
T=T*+e-f .
-fC<eC -T*)Cost(T)<Cost( , .
"
30/47
"
31/47
– C G ,-f
C . ,T* , f.
) :( -f ,T* , :
f ,T* , T* . S .
C , e , -S.
T=T*+e-f
-fC<eC -T*)Cost(T)<Cost( , .
"
32/47
"
33/47
1:
e T C , -e C . , e
.
"
34/47
2:
e=(v,w) T , -e -S .
,e .
"
35/47
,
,
"
36/47
, O.
O(N^2)– " C*N^2
"
37/47
,
,G=(V,E) , O(|E|)
"
38/47
)(
.1=VT,=ET
.2VT
.3|ET|-)1-V||(
.1v)u,(-VTu-VTv.-)3(,
.2v)u,(ET
.3v-VT
"
39/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A
"
40/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A ADD
"
41/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A ADD DFF
"
42/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A ADD DFF ABB
"
43/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A ADD DFF ABB BEE
"
44/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A ADD DFF ABB BEE ECC
"
45/47
-
7 8
5
9
11
6
159
8
5
A
B
C
E
G
F
D
7TV TE
A ADD DFF ABB BEE ECC EGG
"
46/47
G=(V,E,w).
,,T.-T-T.
-G,.,-T
)(.
TG,:
e=(u,v)-T,-V’-T
e.
"
47/47
u-v.
,f,-V’.
ef,e,:w(f) w(e).
-T’fe.
-T’,
,T’ee)V’(.
-T,T.
"
48/47
–
"
49/47