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math.CO2025
Nonnegativity of signomials with Newton simplex over -convex sets
Gennadiy Averkov, Jonas Ellwanger, Thorsten Theobald +1
We study a class of signomials whose positive support is the set of vertices of a simplex and which may have several negative support points in the simplex. Various groups of autho…
math.CO2019
Initial Steps in the Classification of Maximal Mediated Sets
Jacob Hartzer, Olivia Röhrig, Timo de Wolff +1
Maximal mediated sets (MMS), introduced by Reznick, are distinguished subsets of lattice points in integral polytopes with even vertices. MMS of Newton polytopes of AGI-forms and n…
math.CO2010★ 1 cited
Polytopes with Special Simplices
Timo de Wolff
For a polytope P a simplex S with vertex set V(S) is called a special simplex if every facet of P contains all but exactly one vertex of S. For such polytopes P with face complex F…