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2 10 2 2 8 3 5 1 2 9 6 3 10 1 3 2 6 9 4 5 3 2 1 x 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9 x 10 x 11 x 12 KRUSKALOV ALGORITAM NAIVNA IZVEDBA

Prezentacija - Neki Grafovski Algoritmi

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210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

KRUSKALOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

1 2 3 4

56 7 8

9 1011

12

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

1 2 3 4

56 7 8

9 1011

12

KRUSKALOV ALGORITAM BOJENJE CVOROVA

3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

1 2 3 4

56 3 8

9 1011

12

KRUSKALOV ALGORITAM BOJENJE CVOROVA

5

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

1 2 3 4

56 3 8

5 1011

12

KRUSKALOV ALGORITAM BOJENJE CVOROVA

11

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

1 2 3 4

56 3 8

5 1011

11

KRUSKALOV ALGORITAM BOJENJE CVOROVA

5

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 2 3 4

56 3 8

5 1011

11

KRUSKALOV ALGORITAM BOJENJE CVOROVA

3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 3 3 4

56 3 8

5 1011

11

KRUSKALOV ALGORITAM BOJENJE CVOROVA

3

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7

x9 x10 x11

5 3 3

56 3 8

5 1011

11

3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 3 3 3

56 3 8

5 1011

11

KRUSKALOV ALGORITAM BOJENJE CVOROVA

6

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 3 3 3

56 3 8

5 66

11

KRUSKALOV ALGORITAM BOJENJE CVOROVA

6

11

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 3 3 3

56 3 8

5 63

6

KRUSKALOV ALGORITAM BOJENJE CVOROVA

3

3

6

3

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 3 3 3

56 3 8

5 63

6

3

3

6

3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

5 3 3 3

33 3 8

5 33

3

KRUSKALOV ALGORITAM BOJENJE CVOROVA

3

5

3

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x5 x6

x7x8

x9 x10 x11

x12

3 3 3 3

33 3 8

3 33

3

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x5 x6

x7

x9 x10 x11

x12

3 3 3 3

33 3 8

3 33

3

x8

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x5 x6

x7

x9 x10 x11

x12

3 3 3 3

33 3 8

3 33

3

x8

x12

KRUSKALOV ALGORITAM BOJENJE CVOROVA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x5 x6

x7

x9 x10 x11

3 3 3 3

33 3 8

3 33

3

3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

PRIMOV ALGORITAM NAIVNA IZVEDBA

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

8/x1

10/x1

2/x1

PRIMOV ALGORITAM METOD POTENCIJALA

x1

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

8/x1

10/x1

2/x1

1/x5 3/x5

6/x5

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

10/x1

2/x16/x5

1/x5 3/x5

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

10/x1

2/x16/x5

1/x5 3/x5

2/x106/x10

2/x10

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

10/x1

2/x1

1/x5 3/x5

2/x10 6/x10

2/x10

3/x65/x6

3/x6

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6 5/x6

3/x6

1/x11

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6 5/x6

3/x6

1/x11

5/x12

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6 5/x6

3/x6

1/x11

5/x12

2/x2

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6

3/x6

1/x11

5/x12

2/x2 2/x3

1/x3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6

1/x11

5/x12

2/x2 2/x3

1/x3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6

1/x11

5/x12

2/x2 2/x3

1/x3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

PRIMOV ALGORITAM METOD POTENCIJALA

2/x1

1/x5 3/x5

2/x10

2/x10

3/x6

1/x11

5/x12

2/x2 2/x3

1/x3

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

DANTZIGOV ALGORITAM (NAIVNI)

0

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

7

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

78

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

78

10

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

78

10

10

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

78

10

10

11

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

78

10

10

11 12

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

2

3 5

7

78

10

10

11 12

13

DANTZIGOV ALGORITAM (NAIVNI)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

8/x1

10/x1

2/x1

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

8/x1

10/x1

2/x1

3/x5 5/x5

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

8/x1

10/x1

2/x1

3/x5 5/x5

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0

8/x1

10/x1

2/x1

3/x5 5/x5 7/x10

7/x1011/x10

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 11/x10

10/x6

12/x6

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

12/x6

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

13/x12

12/x6

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

13/x12

12/x6

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

13/x12

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

12/x611/x7

12/x7

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

11/x7 12/x7

13/x12

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

11/x7 12/x7

13/x12

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

0 10/x1

2/x1

3/x5 5/x5 7/x10

7/x10 10/x6

8/x11

11/x7 12/x7

13/x12

DIJKSTRIN ALGORITAM (SA POTENCIJALIMA)

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

13

14

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

13

14

23

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

13

14

23

3 5

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

13

14

23

3 5

11

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

11

14

23

3 5

13

21

1520

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

11

3 5

13

21

1520

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

11

3 5

13

21

1520

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

8

10 12

11

3 5

13

21

1520

7

7

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

21

1578

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

21

7 8

13

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

11

3 5

13

13

7 8

10

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 12

10

3 5

13

13

7 8

11 12

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

210 2

2 8 3 51

29

6 3 10

1 3 2 6 9 4 5

3 2 1

x1x2 x3 x4

x5 x6

x7x8

x9 x10 x11

x12

BELLMANFORDOV ALGORITAM

0

2

7

10 11

10

3 5

12

13

7 8

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8

3 14

1

3 2

3 2

6

9

1

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/0

3/0 1/04/0

1/0

3/0 2/0

3/0 2/0

6/0

9/0

1/0

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/0

3/0 1/04/0

1/0

3/0 2/0

3/0 2/0

6/0

9/0

1/00

1

2

2

3 43

3

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/0

3/0 1/04/0

1/0

3/0 2/0

3/0 2/0

6/0

9/0

1/00

1

2

2

3 43

3

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/1

3/0 1/04/0

1/0

3/0 2/0

3/1 2/1

6/0

9/0

1/1

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/1

3/0 1/04/0

1/0

3/0 2/0

3/1 2/1

6/0

9/0

1/10

1

2

2

3 3 4

3

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/1

3/0 1/04/0

1/0

3/0 2/0

3/1 2/1

6/0

9/0

1/10

1

2

2

3 3 4

3

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/3

3/0 1/04/0

1/0

3/0 2/0

3/3 2/1

6/2

9/2

1/1

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/3

3/0 1/04/0

1/0

3/0 2/0

3/3 2/1

6/2

9/2

1/10

1

2

4

3 3 6

5

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/3

3/0 1/04/0

1/0

3/0 2/0

3/3 2/1

6/2

9/2

1/10

1

2

4

3 3 6

5

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/4

3/1 1/04/1

1/1

3/0 2/0

3/3 2/1

6/3

9/3

1/1

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/4

3/1 1/04/1

1/1

3/0 2/0

3/3 2/1

6/3

9/3

1/10

1

2

5

3 4 7

6

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/4

3/1 1/04/1

1/1

3/0 2/0

3/3 2/1

6/3

9/3

1/10

1

2

5

3 4 7

6

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/5

3/2 1/04/2

1/1

3/0 2/1

3/3 2/0

6/4

9/4

1/1

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/5

3/2 1/04/2

1/1

3/0 2/1

3/3 2/0

6/4

9/4

1/10

1

2

3 4

FORDFULKERSON EDMONDS KARPOV ALGORITAM

x1

x2

x3

x4

x5

x6

x7

x8

8/5

3/2 1/04/2

1/1

3/0 2/1

3/3 2/0

6/4

9/4

1/1