Maximal flow through oriented percolation as p tends to 1
Prove that the deficit of maximal flow through oriented bond percolation behaves like sqrt(2(1 − p)) as p tends to 1.
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Prove that the deficit of maximal flow through oriented bond percolation behaves like sqrt(2(1 − p)) as p tends to 1.
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Prove that the optimal expected cost of building a spanning tree online, with random edge weights, converges, and find the limit.
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Decide whether planar regions merging with neighbours at a constant rate form an infinite region in finite time.
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