140 algoritmo niveles

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Andrés Coda

Algoritmo para establecer los niveles de un grafo dirigido. Algorithm to establish the levels of a directed graph.

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A B C D E F G H I
A

1

1
1 1

1

A

3

B

1

B

1

C

4

D

1

E

2

F

0

G

1

H

1

I

C
D
E
F

1

1

1 1
1
1

1

G
H
I

A B C D E F G H I

G

1
1

1

G

1
1

3

1
1

1 1

1

1

1 1
1

4
1

1

1

2
0 - - - - -

1
1

1
1

A B C D E F G H I
A

1

1 1
1

F

1

1

1

G
H
I

1

C

4 4

D
E

2 1

F

0 - - - - -

1

B

1 1

1 1

A

3 2

1

C

E

A B C D E F G H I

C

3 0

B

D

G

G

1 1

H

1 0

I

1

G

CI

1 1
1

1

3 2
3 0 - - - -

1

1

1 1
1

4 4
1 1

1

2 1
0 - - - - -

1

1 1
1 0 - - - -

A B C D E F G H I
A

1

G

CI

F
H

A B C D E F G H I

CI

F
H

1 1 1

A

3 1 1

B

3 0 - - - -

C

4 4 3

D

1 1 1

E

F

2 1 0

F

2 1 0 - - -

G

0 - - - - -

G

0 - - - - -

H

1 1 0

H

1 1 0 - - -

I

1 0 - - - -

I

1 0 - - - -

B

1

C
D
E

1

1

1
1

1

G

1 1 1
1

3 1 1
3 0 - - - -

1

1

1
1

4 4 3
1 1 1

A B C D E F G H I
A

CI

F
H

B
E

A B C D E F G H I

CI

F
H

B
E

A

B

3 2 1 0

B

3 2 1 0 - -

C

3 0 - - - -

C

3 0 - - - -

4 4 3 2

D

E

1 1 1 0

E

1 1 1 0 - -

F

2 1 0 - - -

F

2 1 0 - - -

G

0 - - - - -

G

0 - - - - -

H

1 1 0 - - -

H

1 1 0 - - -

I

1 0 - - - -

I

1 0 - - - -

1

1

1

G

1 1 1 1

D

1

G

1

1 1 1 1

1

4 4 3 2

A B C D E F G H I

G

CI

F
H

B
E

A

A B C D E F G H I

D

G

CI

F
H

B
E

A

D

A

1 1 1 1 0 -

A

1 1 1 1 0 - -

B

3 2 1 0 - -

B

3 2 1 0 - - -

C

3 0 - - - -

C

3 0 - - - - -

D

4 4 3 2 1 0

D

4 4 3 2 1 0 -

E

1 1 1 0 - -

E

1 1 1 0 - - -

F

2 1 0 - - -

F

2 1 0 - - - -

G

0 - - - - -

G

0 - - - - - -

H

1 1 0 - - -

H

1 1 0 - - - -

I

1 0 - - - -

I

1 0 - - - - -

A B C D E F G H I
A

1

B

1

1 1

C
D
E
F

1
1

1

1 1
1
1

1

G
H
I

1
1

G

CI

F
H

B
E

A

D

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140 algoritmo niveles

3. A B C D E F G H I A 1 1 1 1 1 A 3 B 1 B 1 C 4 D 1 E 2 F 0 G 1 H 1 I C D E F 1 1 1 1 1 1 1 G H I A B C D E F G H I G 1 1 1 G 1 1 3 1 1 1 1 1 1 1 1 1 4 1 1 1 2 0 - - - - - 1 1 1 1

4. A B C D E F G H I A 1 1 1 1 F 1 1 1 G H I 1 C 4 4 D E 2 1 F 0 - - - - - 1 B 1 1 1 1 A 3 2 1 C E A B C D E F G H I C 3 0 B D G G 1 1 H 1 0 I 1 G CI 1 1 1 1 3 2 3 0 - - - - 1 1 1 1 1 4 4 1 1 1 2 1 0 - - - - - 1 1 1 1 0 - - - -

5. A B C D E F G H I A 1 G CI F H A B C D E F G H I CI F H 1 1 1 A 3 1 1 B 3 0 - - - - C 4 4 3 D 1 1 1 E F 2 1 0 F 2 1 0 - - - G 0 - - - - - G 0 - - - - - H 1 1 0 H 1 1 0 - - - I 1 0 - - - - I 1 0 - - - - B 1 C D E 1 1 1 1 1 G 1 1 1 1 3 1 1 3 0 - - - - 1 1 1 1 4 4 3 1 1 1

6. A B C D E F G H I A CI F H B E A B C D E F G H I CI F H B E A B 3 2 1 0 B 3 2 1 0 - - C 3 0 - - - - C 3 0 - - - - 4 4 3 2 D E 1 1 1 0 E 1 1 1 0 - - F 2 1 0 - - - F 2 1 0 - - - G 0 - - - - - G 0 - - - - - H 1 1 0 - - - H 1 1 0 - - - I 1 0 - - - - I 1 0 - - - - 1 1 1 G 1 1 1 1 D 1 G 1 1 1 1 1 1 4 4 3 2

7. A B C D E F G H I G CI F H B E A A B C D E F G H I D G CI F H B E A D A 1 1 1 1 0 - A 1 1 1 1 0 - - B 3 2 1 0 - - B 3 2 1 0 - - - C 3 0 - - - - C 3 0 - - - - - D 4 4 3 2 1 0 D 4 4 3 2 1 0 - E 1 1 1 0 - - E 1 1 1 0 - - - F 2 1 0 - - - F 2 1 0 - - - - G 0 - - - - - G 0 - - - - - - H 1 1 0 - - - H 1 1 0 - - - - I 1 0 - - - - I 1 0 - - - - -

8. A B C D E F G H I A 1 B 1 1 1 C D E F 1 1 1 1 1 1 1 1 G H I 1 1 G CI F H B E A D

10. < Apostillas

11. Una última idea......

140 algoritmo niveles

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