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This is a branch that includes: computational complexity theory; complexity classes, NP-completeness and other completeness concepts; oracle analogues of complexity classes; complexity-theoretic computational models; regular languages; context-free languages; Komolgorov Complexity and so on.
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 …