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and 6.855J Dijkstras Algorithm with simple buckets (also known as Dials algorithm)
2 An Example Initialize distance labels 1 0 Select the node with the minimum temporary distance label Initialize buckets.
3 Update Step
4 Choose Minimum Temporary Label Find Min by starting at the leftmost bucket and scanning right till there is a non-empty bucket.
5 Update Step
6 Choose Minimum Temporary Label Find Min by starting at the leftmost bucket and scanning right till there is a non-empty bucket.
8 Choose Minimum Temporary Label
10 Choose Minimum Temporary Label
12 Choose Minimum Temporary Label There is nothing to update
13 End of Algorithm All nodes are now permanent The predecessors form a tree The shortest path from node 1 to node 6 can be found by tracing back predecessors
and 6.855J Cycle Canceling Algorithm. 2 A minimum cost flow problem , $4 20, $1 20, $2 25, $2 25, $5 20, $6 30, $
and 6.855J Spanning Tree Algorithms. 2 The Greedy Algorithm in Action
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