(2 0 1 2 0) fedi (2 0 0 0 0)-t! ez ért (2 0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

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(1 0 0 0 1) (2 0 0 0 0) (0 1 1 0 1) t1 t4 t5 (1 1 1 0 0) t1 (0 2 2 0 0) (2 0 -1 -1 0) t1 t2 (1 1 -1 -1 0) t1 t2 (0 2 -1 -1 0) t1 (1 0 -1 -1 1) (0 1 -1 -1 1) t3 t6 t2 (0 0 -1 -1 2) t5 t3 t4 t4 t5 t5 t1 t4 t6 t2 t2 (0 1 0 0 1) t3 (1 0 0 -1 1) t5 (1 1 0 0 0) t2 t4 (0 2 1 0 0) (2 0 0 -1 0) t1 t2 t1 t2 t4 t5 t1 t2 t4 t5 (0 0 0 -1 2) t5 t4 t6 t3 t6

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(2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2 0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!. ( 1 0 0 2 1 ) fedi ( 1 0 0 0 1 )-t! Ez ért (1 0 0 2 1) helyett (1 0 0 -1 1) ker ül a gráfba!. Sz ámolás a végtelennel: ( 1 0 0 -1 1) + (-1 0 0 -3 1) (t6 tranz íció )= ( 0 0 0 -1 2). - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 2: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 1 2 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6(2 0 1 2 0) fedi (2 0 0 0 0)-t!Ezért (2 0 1 2 0) helyett (2 0 -1 -1 0) kerül a gráfba!

Page 3: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 4: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 2 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

(1 0 0 2 1) fedi (1 0 0 0 1)-t!Ezért (1 0 0 2 1) helyett (1 0 0 -1 1) kerül a gráfba!

Page 5: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 6: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 2 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Számolás a végtelennel:(1 0 0 -1 1) + (-1 0 0 -3 1) (t6 tranzíció)= (0 0 0 -1 2)

Page 7: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 2 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

(2 0 0 2 0) fedi (2 0 0 0 0)-t!Ezért (2 0 0 2 0) helyett (2 0 0 -1 0) kerül a gráfba!

Page 8: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 9: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

(0 1 1 -1 1) fedi (0 1 0 0 1)-t!Ezért (0 1 1 -1 1) helyett (0 1 -1 -1 1) kerül a gráfba!

Page 10: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 11: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 2 2 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

(1 1 2 2 0) fedi (1 1 1 0 0)-t!Ezért (1 1 2 2 0) helyett (1 1 -1 -1 0) kerül a gráfba!

Page 12: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 13: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 14: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 15: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 16: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 17: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6

Page 18: (2 0 1 2 0) fedi (2 0 0 0 0)-t! Ez ért (2  0 1 2 0) helyett (2 0 -1 -1 0) ker ül a gráfba!

(1 0 0 0 1)

(2 0 0 0 0)(0 1 1 0 1)

t1 t4

t5

(1 1 1 0 0)

t1

(0 2 2 0 0) (2 0 -1 -1 0)

t1 t2

(1 1 -1 -1 0)

t1 t2

(0 2 -1 -1 0)

t1

(1 0 -1 -1 1) (0 1 -1 -1 1)

t3 t6

t2

(0 0 -1 -1 2)

t5

t3

t4

t4 t5

t5

t1

t4

t6

t2

t2

(0 1 0 0 1)

t3

(1 0 0 -1 1)

t5

(1 1 0 0 0)

t2 t4

(0 2 1 0 0) (2 0 0 -1 0)

t1 t2

t1

t2

t4

t5

t1

t2

t4t5

(0 0 0 -1 2)t5

t4t6

t3

t6