no code implementations • 11 Jan 2021 • Hrishikesh Bodas, Benjamin Drabkin, Caleb Fong, Su Jin, Justin Kim, Wenxuan Li, Alexandra Seceleanu, Tingting Tang, Brendan Williams
We study several consequences of the packing problem, a conjecture from combinatorial optimization, using algebraic invariants of square-free monomial ideals.
Combinatorial Optimization Commutative Algebra Combinatorics 13C70, 13F55, 05E40, 05C65, 05C15
no code implementations • 11 Jan 2021 • João Camarneiro, Benjamin Drabkin, Duarte Fragoso, William Frendreiss, Daniel Hoffman, Alexandra Seceleanu, Tingting Tang, Sewon Yang
Continuing a well established tradition of associating convex bodies to monomial ideals, we initiate a program to construct asymptotic Newton polyhedra from decompositions of monomial ideals.
Commutative Algebra Combinatorics 13F55, 13F20, 52B20, 14M25