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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 on theme: "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."— Presentation transcript:

1 and 6.855J Spanning Tree Algorithms

2 2 The Greedy Algorithm in Action

3 3 The Greedy Algorithm in Action

4 4 The Greedy Algorithm in Action

5 5 The Greedy Algorithm in Action

6 6 The Greedy Algorithm in Action

7 7 The Greedy Algorithm in Action

8 8 The Greedy Algorithm in Action

9 9 The Greedy Algorithm in Action

10 10 The Greedy Algorithm in Action

11 11 The Greedy Algorithm in Action

12 12 The Greedy Algorithm in Action

13 13 The Greedy Algorithm in Action

14 14 The Greedy Algorithm in Action

15 The Greedy Algorithm in Action Node First root node

16 The Greedy Algorithm in Action Node First

17 The Greedy Algorithm in Action Node First

18 The Greedy Algorithm in Action Node First

19 The Greedy Algorithm in Action Node First

20 The Greedy Algorithm in Action Node First

21 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 22 Prims Algorithm in Action

23 23 20 Prims Algorithm in Action

24 24 20 Prims Algorithm in Action

25 25 20 Prims Algorithm in Action

26 26 20 Prims Algorithm in Action

27 27 20 Prims Algorithm in Action

28 28 20 Prims Algorithm in Action

29 29 20 Prims Algorithm in Action

30 30 20 Prims Algorithm in Action

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

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


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