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Greed is Good But gluttony is a deadly sin

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What are greedy algorithms? Why they are useful Dangers of using greedy algorithms

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Prim’s Algorithm

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1 2 5 3 a dc b

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1 2 3 a dc b Minimum Spanning Tree

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bc adf e 44 3 1 55 86 2 6 PQ: (a,b,3) ; (a,f,5) ; (a,e,6)

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bc adf e 44 3 1 55 86 2 6 PQ: (b,c,1) ; (b,f,4) ; (a,f,5) ; (a,e,6)

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bc adf e 44 3 1 55 86 2 6 PQ: (c,f,4) ; (b,f,4) ; (a,f,5) ; (a,e,6) ; (c,d,6)

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bc adf e 44 3 1 55 86 2 6 PQ: (f,e,2) ; (b,f,4) ; (a,f,5) ; (f,d,5) ; (a,e,6) ; (c,d,6)

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bc adf e 4 4 3 1 55 86 2 6 PQ: (b,f,4) ; (a,f,5) ; (f,d,5) ; (a,e,6) ; (c,d,6) ; (e,d,8)

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bc adf e 4 4 3 1 55 86 2 6

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Kruskal’s Algorithm

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bc adf e 44 3 1 55 86 2 6 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)

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bc adf e 44 3 1 55 86 2 6

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bc adf e 44 3 1 55 86 2 6

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bc adf e 44 3 1 55 86 2 6

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bc adf e 44 3 1 55 86 2 6

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bc adf e 44 3 1 55 86 2 6

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DONE!! DANKEI THAKN YOU! Nou kan jy aangaan met jou lewe…

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Lecture 19 Greedy Algorithms Minimum Spanning Tree Problem.

Lecture 19 Greedy Algorithms Minimum Spanning Tree Problem.

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