4 problems
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Conjecture on outer approximations for conic quadratic formulations
Outer-approximation conjecture. The formulation might not be particularly challenging to solve via interior point methods, but it might be difficult to construct a good-quality out…
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Polynomial hitting-number conjecture for complete regular matroids
Polynomial hitting-number conjecture. The quantity is bounded by a polynomial in .
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The encoding conjecture for convex-formulation languages
Encoding conjecture.
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Yannakakis's conjecture that asymmetry does not help much for extended formulations
An extended formulation is a linear description in a higher-dimensional space whose projection is the polytope of interest; it is symmetric when it remains invariant under all perm…