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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.

7 votes

The "sensitivity" of 2-colorings of the d-dimensional integer lattice

Here's another problem that is equivalent to this one (see http://www.cs.huji.ac.il/~nati/PAPERS/gotsman_equivalence.pdf): Consider a 2-coloring of the vertices of the n-dimensional hypercube. We sa …
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