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dijkstra

# dijkstra - Dijkstras Algorithm for Shortest Paths Thanks to...

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1 Dijkstra’s Algorithm for Shortest Paths Thanks to Jim Orlin and MIT OCW

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2 An Example 1 2 3 4 5 6 2 4 2 1 3 4 2 3 2 Initialize 0 Select the node with the minimum temporary distance label.
3 Update Step 2 3 4 5 6 2 4 2 1 3 4 2 3 2 2 4 0 1

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4 Choose Minimum Temporary Label 1 3 4 5 6 2 4 2 1 3 4 2 3 2 2 4 0 2
5 Update Step 1 2 3 4 5 6 2 4 2 1 3 4 2 3 2 2 4 6 4 3 0 The predecessor of node 3 is now node 2

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6 Choose Minimum Temporary Label 1 2 4 5 6 2 4 2 1 3 4 2 3 2 2 3 6 4 0 3
7 Update 1 2 4 5 6 2 4 2 1 3 4 2 3 2 0 d(5) is not changed. 3 2 3 6 4

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8 Choose Minimum Temporary Label 1 2 4 6 2 4 2 1 3 4 2 3 2 0 3 2 3 6 4 5
9 Update 1 2 4 6 2 4 2 1 3 4 2 3 2 0 3 2 3 6 4 5 d(4) is not changed 6

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10 Choose Minimum Temporary Label 1 2 6 2 4 2 1 3 4

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