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[[Opposite vertices of base polyhedra]] Let ''B'' be a base polyhedron with all vertices in <math>\{0,1,-1\}^n</math> such that <math>0 \in B</math>. Is it true that ''B'' has a vertex ''v'' such that ''-v'' is also in a vertex of ''B''? [[Zoli]]

[[Clutters with the MFMC property]] Is it true that a clutter has the MFMC property if and only if it has the packing property? This was conjectured by Conforti and Cornuéjols. [[Papjuli]]

[[Strongly t-perfect graphs]] Is every ''t''-perfect graph strongly ''t''-perfect? [[Papjuli]]