15.082 and 6.855j spanning tree algorithms. 2 the greedy algorithm in action 1 2 3 4 5 6 7 35 10 30...
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15.082 and 6.855J
Spanning Tree Algorithms
2
The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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The Greedy Algorithm in Action
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Node 1 2 3 4 5 6 7
First 1 2 3 4 5 4 7
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root node
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The Greedy Algorithm in Action
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Node 1 2 3 4 5 6 7
First 1 4 3 4 5 4 7
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The Greedy Algorithm in Action
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Node 1 2 3 4 5 6 7
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The Greedy Algorithm in Action
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Node 1 2 3 4 5 6 7
First 1 4 5 4 5 4 5
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The Greedy Algorithm in Action
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Node 1 2 3 4 5 6 7
First 1 4 4 4 4 4 4
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75 73 5 73
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The Greedy Algorithm in Action
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Node 1 2 3 4 5 6 7
First 4 4 4 4 4 4 4
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75 73
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Prim’s Algorithm in Action
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The minimum cost arc from yellow nodes to green nodes can be found by placing arc values in a priority queue.
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Prim’s Algorithm in Action
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3522
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Prim’s Algorithm in Action
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515
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3522
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10 8
2130
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20 3021
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Prim’s Algorithm in Action
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515
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3522
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2130
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20 3021
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5 73
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Prim’s Algorithm in Action
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515
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3522
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2130
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20 3021
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1564
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515
1173 5
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Prim’s Algorithm in Action
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515
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3522
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10 8
2130
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20 3021
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1564
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Prim’s Algorithm in Action
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515
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3522
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10 8
2130
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20 3021
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1564
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515
113 75
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Prim’s Algorithm in Action
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515
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3522
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102 4
10 8
2130
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20 3021
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1564
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515
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1173 5153
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Prim’s Algorithm in Action
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515
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3522
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102 4
10 8
2130
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20 3021
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1564
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515
117
1173 5153
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Prim’s Algorithm in Action
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515
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1
3522
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102 4
10 8
2130
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20 3021
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1564
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515
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1173 5153
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Sollin’s Algorithm in Action
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Treat all nodes as singleton components, and then select the min cost arc leaving the component.
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Sollin’s Algorithm in Action
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Find the min cost edge out of each component
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