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17-56: Rearranging the heapTotal time:O(V ) remove-mins – O(V lg V )O(E) dercrease-keys – O(E lg V )Total time: O(V lg V + E lg V ) ∈ O(E lg V )
17-57: Improving DijkstraStore vertices in heapWhen we update the table, we need to rearrangethe heapAlternate Solution:When the cost <strong>of</strong> a vertex decreases, add anew copy to the heap
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17-1: Shortest Path ExampleShortest
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17-3: Single Source Shortest PathTo
Page 8 and 9: 17-6: Single Source Shortest PathIf
Page 10 and 11: 17-8: Single Source Shortest Path2A
Page 12 and 13: 17-10: Single Source Shortest PathN
Page 14 and 15: 17-12: Single Source Shortest PathA
Page 16 and 17: 17-14: Single Source Shortest PathA
Page 18 and 19: 17-16: Single Source Shortest Path2
Page 24 and 25: 17-22: Dijkstra’s Algorithm Examp
Page 32 and 33: 17-30: Dijkstra’s AlgorithmAfter
Page 42 and 43: 17-40: Dijkstra Codevoid Dijkstra(E
Page 44 and 45: 17-42: Dijkstra Running TimeTime fo
Page 46 and 47: 17-44: Dijkstra Running TimeTotal t
Page 48 and 49: 17-46: Dijkstra Running TimeTotal #
Page 50 and 51: 17-48: Dijkstra Running TimeTotal r
Page 52 and 53: 17-50: Dijkstra Running TimeTotal r
Page 54 and 55: 17-52: Improving DijkstraCan we do
Page 56 and 57: 17-54: Improving DijkstraTo improve
Page 60 and 61: 17-58: Improving DijkstraCreate a n
Page 62 and 63: 17-60: Improved? Dijkstra TimeDon
Page 64 and 65: 17-62: All-Source Shortest PathWhat
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Page 68 and 69: 17-66: Floyd’s AlgorithmVertices
Page 70 and 71: 17-68: k-path Examples0115 357211Sh
Page 72 and 73: 17-70: Floyd’s AlgorithmShortest
Page 74 and 75: 17-72: Floyd’s AlgorithmIf we had
Page 76 and 77: 17-74: Floyd’s AlgorithmUse a dou
Page 78: 17-76: Floyd’s AlgorithmWe’ve o
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