Valuations and the Hopf Monoid of Generalized Permutahedra
From MaRDI portal
Publication:5886598
DOI10.1093/imrn/rnab355OpenAlexW3094420973MaRDI QIDQ5886598
Federico Ardila, Mario Sánchez Sánchez
Publication date: 5 April 2023
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.11178
Exact enumeration problems, generating functions (05A15) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40)
Related Items
Matroid relaxations and Kazhdan-Lusztig non-degeneracy ⋮ Hopf Monoids and Generalized Permutahedra ⋮ A non-associative incidence near-ring with a generalized Möbius function ⋮ Stellahedral geometry of matroids ⋮ On the geometry of flag Hilbert-Poincaré series for matroids ⋮ Tautological classes of matroids ⋮ \(K\)-rings of wonderful varieties and matroids ⋮ Schubert matroids, Delannoy paths, and Speyer's invariant ⋮ The polytope algebra of generalized permutahedra ⋮ Coloring complexes and combinatorial Hopf monoids ⋮ An algebra over the operad of posets and structural binomial identities
