PPRR 10

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Matricea de adiacenta: 1 2 3 4 5 6 7 8 1 0 1 0 0 0 0 0 0 2 1 0 0 1 0 1 0 0 3 0 0 0 1 0 0 0 0 4 0 1 1 0 1 0 0 0 5 0 0 0 1 0 1 1 0 6 0 1 0 0 1 0 0 1 7 0 0 0 0 1 0 0 1 8 0 0 0 0 0 1 1 0 9 0 0 0 0 0 0 0 1 10 0 0 0 0 0 0 1 0 Matricea inmultita cu ea insasi: 1 2 3 4 5 6 7 8 1 1 0 1 0 1 0 0 0 2 0 3 1 1 1 1 0 0 3 1 1 3 0 1 1 0 0 4 0 1 0 1 1 0 0 0 5 1 1 1 1 3 0 1 1 6 0 1 1 0 0 3 1 1 7 0 0 0 0 1 1 3 1 8 0 0 0 0 1 1 1 3 9 0 0 0 0 0 1 1 0 10 0 0 0 0 0 1 0 1 Suma C1+C2 (matricele de mai sus adunate): 1 2 3 4 5 6 7 8 1 1 1 1 0 1 0 0 0 2 1 3 1 2 1 2 0 0 3 1 1 3 1 1 1 0 0 4 0 2 1 1 2 0 0 0 5 1 1 1 2 3 1 2 1

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Matricea de adiacenta:

1 2 3 4 5 6 7 8

1 0 1 0 0 0 0 0 0

2 1 0 0 1 0 1 0 0

3 0 0 0 1 0 0 0 0

4 0 1 1 0 1 0 0 0

5 0 0 0 1 0 1 1 0

6 0 1 0 0 1 0 0 1

7 0 0 0 0 1 0 0 1

8 0 0 0 0 0 1 1 0

90 0 0 0 0 0 0 1

10 0 0 0 0 0 0 1 0

Matricea inmultita cu ea insasi:

1 2 3 4 5 6 7 8

1 1 0 1 0 1 0 0 0

2 0 3 1 1 1 1 0 0

3 1 1 3 0 1 1 0 0

4 0 1 0 1 1 0 0 0

5 1 1 1 1 3 0 1 1

6 0 1 1 0 0 3 1 1

7 0 0 0 0 1 1 3 1

8 0 0 0 0 1 1 1 3

9 0 0 0 0 0 1 1 0

10 0 0 0 0 0 1 0 1

Suma C1+C2 (matricele de mai sus adunate):

1 2 3 4 5 6 7 8

1 1 1 1 0 1 0 0 0

2 1 3 1 2 1 2 0 0

3 1 1 3 1 1 1 0 0

4 0 2 1 1 2 0 0 0

51 1 1 2 3 1 2 1

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6 0 2 1 0 1 3 1 2

7 0 0 0 0 2 1 3 2

8 0 0 0 0 1 2 2 3

9 0 0 0 0 0 1 1 1

10 0 0 0 0 0 1 1 1

Matricea la patrat inmultita cu matricea initiala (matricea la cub) (conectivitate de ord.3):

1 2 3 4 5 6 7 8

1 0 3 1 1 1 1 0 0

2 3 2 5 1 5 1 1 1

3 1 5 2 3 5 1 1 1

4 1 1 3 0 1 1 0 0

5 1 5 5 1 2 5 1 1

6 1 1 1 1 5 2 5 5

7 0 1 1 0 1 5 2 5

8 0 1 1 0 1 5 5 2

9 0 0 0 0 1 1 1 3

10 0 0 0 0 1 1 3 1

Suma matricelor de conectivitate 1, 2 si 3:

1 2 3 4 5 6 7 8

1 1 2 1 2 1 0 0

2 5 ! 3 ! 3 1 1

3 2 ! 5 ! 2 1 1

4 1 3 1 3 1 0 0

5 2 ! ! 3 5 ! 3 2

6 1 3 2 1 ! 5 ! "

7 0 1 1 0 3 ! 5 "

8 0 1 1 0 2 " " 5

9 0 0 0 0 1 2 2

100 0 0 0 1 2 2

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Matricea la puterea a #a (conectivitate de ord.):

1 2 3 4 5 6 7 8

1 3 2 5 1 5 1 1 1

2 2 13 $ 5 $ " 2 2

3 5 $ 13 2 $ " 2 2

4 1 5 2 3 5 1 1 1

5 5 $ $ 5 15 " "

6 1 " " 1 15 $ $

7 1 2 2 1 " $ 13 $

8 1 2 2 1 " $ $ 13

9 0 1 1 0 1 5 5 2

10 0 1 1 0 1 5 2 5

Suma matricelor de conectivitate 1, 2, 3 si :

1 2 3 4 5 6 7 8

1 ! " 2 " 2 1 1

2 ! 1$ 1 $ 1 10 3 3

3 " 1 1$ ! 1 % 3 3

4 2 $ ! $ 2 1 1

5 " 1 1 $ 20 10 10 %

6 2 10 % 2 10 20 1 15

7 1 3 3 1 10 1 1$ 15

8 1 3 3 1 % 15 15 1$

9 0 1 1 0 2 " " !

10 0 1 1 0 2 " ! "

Matricea la puterea a 5#a (conectivitate de ord.5):

1 2 3 4 5 6 7 8

1 2 13 $ 5 $ "

2 13 1$ 2! $ 2$ 12 10 10

3 $ 2! 1$ 13 2$ 12 10 10

4 5 $ 13 2 $ " 2 2

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5 $ 2$ 2$ $ 20 2% 12 12

6 " 12 12 " 2% 20 2$ 2$

7 2 10 10 2 12 2$ 1$ 2!

8 2 10 10 2 12 2$ 2! 1$

9 1 2 2 1 " $ $ 13

10 1 2 2 1 " $ 13 $

Suma matricelor de conectivitate 1, 2, 3, si 5:

1 2 3 4 5 6 7 8

1 ! 1% 15 " 15 % 5 5

2 1% 3! 0 1! 2 22 13 13

3 15 0 3! 1% 2 21 13 13

4 " 1! 1% ! 1! % 3 3

5 15 2 2 1! 0 3% 22 21

6 % 22 21 % 3% 0 2 3

7 3 13 13 3 22 2 3! 1

8 3 13 13 3 21 3 1 3!

9 1 3 3 1 % 15 15 1%

10 1 3 3 1 % 15 1% 15

&oduri: 10

Muc'ii: 11

&umar ciclomatic 2 (numarul de circuite inc'ise din ra #* o mas

&r min muc'ii %

&r ma circuite 3!

amma 0.2 (procent rute eistente din rute posibile)-eta 1.10 (nr mediu de muc'ii per nod # sau coneiuni

 la 0.05! (raportul dintre circuite eistente si nr ma cir

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raul:

9 10

0 0

0 0

0 0

0 0

0 0

0 0

0 1

1 0

0 0

0 0

9 10

0 0

0 0

0 0

0 0

0 0

1 1

1 0

0 1

1 0

0 1

9 10

0 0

0 0 10

0 0 $

0 0 !

0 0 12

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1 1 12

1 1 10

1 1 10

1 0

0 1

9 10

0 0

0 0

0 0

0 0

1 1

1 1

1 3

3 1

0 1

1 0

9 10

0 0 11

0 0 2%

0 0 2"

0 0 13

1 1 35

2 2 35

2 2%

2 2%

1 1 11

1 1 11

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9 10

0 0

1 1

1 1

0 0

1 1

5 5

5 2

2 5

3 1

1 3

9 10

0 0 30

1 1 "$

1 1 "!

0 0 32

2 2 %!

" " %!

" ! "$

! " "$

2 30

2 30

9 10

1 1

2 2

2 2

1 1

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" "

$ $

$ 13

13 $

2 5

5 2

9 10 Conectivitate/nod

1 1 $3

3 3 20"

3 3 205

1 1 $1

% % 255

15 15 255

15 1% 20"

1% 15 20"

! " "%

" ! "%

ura a redundantei)

(o ruta (traseu) contine minim 2 muc'ii)er nod)

cuite posibile)

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