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Deletion–triangle subdivision conjecture for Hilbert bases of cuts
Let $G$ be a graph in the class $\mathscr{H}$ of graphs whose cut semigroup has the Hilbert basis property, and let $f\in E(G)$ be an edge. Write $G\setminus f$ for deletion of $f$ …
opencut-polytopes graph-theory hilbert-bases
06
Henk–Weismantel conjecture on Hilbert bases of linear Diophantine equations
Henk–Weismantel conjecture. Every minimal solution lies in this convex hull:
openconvex-geometry hilbert-bases linear-diophantine-equations
031

Deletion–triangle subdivision conjecture for Hilbert bases of cuts