4 problems
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Smooth polytope conjecture on normality of integer dilations
Let and be lattice polytopes in . For lattice polytopes, write … A lattice polytope is smooth if it is simple and the primitive facet normal vectors around eve…
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M-convexity conjecture for Postnikov–Stanley polynomials
Postnikov–Stanley polynomials are a class of polynomials associated with permutations. A polynomial is M-convex when the set of exponent vectors of its monomials satisfies the disc…
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Karzanov's orbit-additivity conjecture for orientable modular graphs
Let be a modular graph. For an orbit of , let be the corresponding quotient graph, and let denote the o…
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Karzanov's tractability conjecture for a proper subclass of orientable modular graphs
Let be an undirected graph, and let denote the corresponding minimum -extension problem. An orientable modular graph is an orie…