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Greed is Good But gluttony is a deadly sin

Greed is Good But gluttony is a deadly sin. What are greedy algorithms? Why they are useful Dangers of using greedy algorithms. Prim’s Algorithm. 1. a. b. 2. 5. 3. c. d. Minimum Spanning Tree. 1. a. b. 2. 3. c. d. 1. 3. 6. 4. 4. 5. 5. 2. 6. 8.

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Greed is Good But gluttony is a deadly sin

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  1. Greed is GoodBut gluttony is a deadly sin

  2. What are greedy algorithms? • Why they are useful • Dangers of using greedy algorithms

  3. Prim’s Algorithm

  4. 1 a b 2 5 3 c d

  5. Minimum Spanning Tree 1 a b 2 3 c d

  6. 1 3 6 4 4 5 5 2 6 8 PQ: (a,b,3) ; (a,f,5) ; (a,e,6) b c a f d e

  7. 1 3 6 4 4 5 5 2 6 8 PQ: (b,c,1) ; (b,f,4) ; (a,f,5) ; (a,e,6) b c a f d e

  8. 1 3 6 4 4 5 5 2 6 8 PQ: (c,f,4) ; (b,f,4) ; (a,f,5) ; (a,e,6) ; (c,d,6) b c a f d e

  9. 6 4 4 5 5 2 6 8 PQ: (f,e,2) ; (b,f,4) ; (a,f,5) ; (f,d,5) ; (a,e,6) ; (c,d,6) 1 b c 3 a f d e

  10. 6 4 5 5 6 8 PQ: (b,f,4) ; (a,f,5) ; (f,d,5) ; (a,e,6) ; (c,d,6) ; (e,d,8) 1 b c 3 4 a f d 2 e

  11. 6 4 5 6 8 1 b c 3 4 5 a f d 2 e

  12. Kruskal’s Algorithm

  13. 1 3 6 4 4 5 5 2 6 8 Sorted list: (b,c,1) ; (e,f,2) ; (a,b,3) ; (c,f,4) ; (b,f,4) ; (a,f,5) ; (d,f,5) ; (a,e,6) ; (c,d,6) ; (d,e,8) b c a f d e

  14. 3 6 4 4 5 5 2 6 8 Sorted list: (b,c,1) ; (e,f,2) ; (a,b,3) ; (c,f,4) ; (b,f,4) ; (a,f,5) ; (d,f,5) ; (a,e,6) ; (c,d,6) ; (d,e,8) 1 b c a f d e

  15. 1 3 6 4 4 5 5 2 6 8 Sorted list: (b,c,1) ; (e,f,2) ; (a,b,3) ; (c,f,4) ; (b,f,4) ; (a,f,5) ; (d,f,5) ; (a,e,6) ; (c,d,6) ; (d,e,8) b c a f d e

  16. Sorted list: (b,c,1) ; (e,f,2) ; (a,b,3) ; (c,f,4) ; (b,f,4) ; (a,f,5) ; (d,f,5) ; (a,e,6) ; (c,d,6) ; (d,e,8) 1 b c 3 6 4 4 5 5 a f d 2 6 8 e

  17. Sorted list: (b,c,1) ; (e,f,2) ; (a,b,3) ; (c,f,4) ; (b,f,4) ; (a,f,5) ; (d,f,5) ; (a,e,6) ; (c,d,6) ; (d,e,8) 1 b c 3 6 4 4 5 5 a f d 2 6 8 e

  18. Sorted list: (b,c,1) ; (e,f,2) ; (a,b,3) ; (c,f,4) ; (b,f,4) ; (a,f,5) ; (d,f,5) ; (a,e,6) ; (c,d,6) ; (d,e,8) 1 b c 3 6 4 4 5 5 a f d 2 6 8 e

  19. DONE!!DANKEITHAKN YOU! Nou kan jy aangaan met jou lewe…

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