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7 First 4 4 4 4 4 4 4 35 11 21 1 2 3 4 5 6 7 45
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46
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Prim’s algorithm animation
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48
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Correctness The cut-optimality Condition 49
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50 Prim’s Algorithm in Action 1 2 3 35 10 4 5 30 15 25 40 20 6 7 17 8 15 11 21 4 5 6 7 1 2 3 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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51 Prim’s Algorithm in Action 1 3 35 4 5 30 15 25 40 20 6 7 17 8 15 11 21 4 5 6 7 1 2 2 10 3
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52 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 5 6 7 3
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53 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 7 3
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54 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 7 3
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55 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 7 3
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56 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 3 7
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57 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 7 3
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58 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 7 3
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59 20 Prim’s Algorithm in Action 1 3 35 4 5 15 25 40 6 7 17 15 11 1 2 2 10 4 8 21 30 6 5 7 3
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60
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Sollin’s Algorithm animation
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62
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Correctness Cut-optimality Condition 63
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64 Sollin’s Algorithm in Action 1 2 3 35 10 4 5 30 15 25 40 20 6 7 17 8 15 11 21 Treat all nodes as singleton components, and then select the min cost arc leaving the component. 4 5 6 7 1 2 3
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  • Fall '09
  • SUB
  • Greedy algorithm, Kruskal's algorithm

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