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Min_Global_Cut

# Min_Global_Cut - 15.082 and 6.855J Min Global Cut Animation...

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1 15.082 and 6.855J Min Global Cut Animation

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2 Initialize 1 3 2 5 6 4 1 1 1 5 3 4 6 Saturate the arcs out of node 1. Update the residual network
3 Initialize 0 5 4 3 2 1 2 4 5 3 6 1 Compute distances to node 2 Determine admissible arcs 1 1 3 2 5 6 4 1 1 1 5 3 4 6 5 1 6 4 1 3 We will never push from node 1 again or into node 1.

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4 Push/Relabel 0 5 4 3 2 1 2 4 5 3 6 1 Select an active node 1 Carry out push/relabel 1 3 2 5 6 4 1 1 3 4 6 5 1 6 4 1 3 2
5 Push/Relabel 0 5 4 3 2 1 2 4 5 3 6 1 Select an active node 1 Relabel. There are no admissible arcs. 1 3 2 5 6 4 1 1 6 4 6 5 1 6 4 1 2 3

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6 Push/Relabel 0 5 4 3 2 1 2 4 5 6 1 Select an active node 1 Push from node 3. 1 3 2 5 6 4 1 1 6 4 6 5 1 6 4 1 2 3 1 1
7 Push/Relabel 0 5 4 3 2 1 2 4 5 6 1 Select an active node 1 Relabel node 3. Rule: no empty levels permitted. 1 3 2 5 6 4 1 6 4 6 5 2 6 4 1 2 3 1 1

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8 Gaps Let t denote the current sink node. Let d max be the maximum distance label of a node other than the source node. An empty level is a value k with d(t) < k < d max such that there is no node j with d(j) = k. If we increase d(3) to 7, we create a gap. In such a case, we increase d(j) to d max + 1.
9 Push/Relabel 0 5 4 3 2 1 2 4 5 6 1 Relabel node 3 so no empty level is created.

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Min_Global_Cut - 15.082 and 6.855J Min Global Cut Animation...

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