15.082 and 6.855J Spanning Tree Algorithms. 2 The Greedy Algorithm in Action 1 2 3 4 5 6 7 35 10 30 15 25 40 20 17 8 15 11 21 1 2 3 4 5 6 7.

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Presentation transcript:

and 6.855J Spanning Tree Algorithms

2 The Greedy Algorithm in Action

3 The Greedy Algorithm in Action

4 The Greedy Algorithm in Action

5 The Greedy Algorithm in Action

6 The Greedy Algorithm in Action

7 The Greedy Algorithm in Action

8 The Greedy Algorithm in Action

9 The Greedy Algorithm in Action

10 The Greedy Algorithm in Action

11 The Greedy Algorithm in Action

12 The Greedy Algorithm in Action

13 The Greedy Algorithm in Action

14 The Greedy Algorithm in Action

The Greedy Algorithm in Action Node First root node

The Greedy Algorithm in Action Node First

The Greedy Algorithm in Action Node First

The Greedy Algorithm in Action Node First

The Greedy Algorithm in Action Node First

The Greedy Algorithm in Action Node First

21 Prims Algorithm in Action The minimum cost arc from yellow nodes to green nodes can be found by placing arc values in a priority queue.

22 Prims Algorithm in Action

23 20 Prims Algorithm in Action

24 20 Prims Algorithm in Action

25 20 Prims Algorithm in Action

26 20 Prims Algorithm in Action

27 20 Prims Algorithm in Action

28 20 Prims Algorithm in Action

29 20 Prims Algorithm in Action

30 20 Prims Algorithm in Action

31 Sollins Algorithm in Action Treat all nodes as singleton components, and then select the min cost arc leaving the component

32 Sollins Algorithm in Action Find the min cost edge out of each component