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CS 332: Algorithms Greedy Algorithms
Review: Dynamic Programming ,[object Object],[object Object]
Review: Optimal Substructure of LCS ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: Structure of Subproblems ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Memoization ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: Dynamic Programming ,[object Object],[object Object],[object Object],[object Object],[object Object]
Review: Dynamic Programming ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Greedy Algorithms ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Activity-Selection Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Activity-Selection ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],1 2 3 4 5 6
Activity Selection:  Optimal Substructure  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Activity Selection: Repeated Subproblems ,[object Object],S 1  A? S’ 2  A? S-{1} 2  A? S-{1,2} S’’ S’-{2} S’’ yes no no no yes yes
Greedy Choice Property ,[object Object],[object Object],[object Object],[object Object],[object Object]
Activity Selection: A Greedy Algorithm ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Minimum Spanning Tree Revisited ,[object Object],[object Object],[object Object],[object Object]
Review: The Knapsack Problem ,[object Object],[object Object]
Review: The Knapsack Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Review: The Knapsack Problem  And Optimal Substructure ,[object Object],[object Object],[object Object],[object Object]
Solving The Knapsack Problem ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Knapsack Problem:  Greedy Vs. Dynamic ,[object Object],[object Object],[object Object]

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