Hopf Monoids and Generalized Permutahedra

DOI10.1090/memo/1437arXiv1709.07504MaRDI QIDQ6051923

Marcelo Aguiar, Federico Ardila

Publication date: 23 October 2023

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07504

Mathematics Subject Classification ID

Graph polynomials (05C31) Research exposition (monographs, survey articles) pertaining to combinatorics (05-02) 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) Combinatorial aspects of matroids and geometric lattices (05B35) Coloring of graphs and hypergraphs (05C15) Connections of Hopf algebras with combinatorics (16T30) Research exposition (monographs, survey articles) pertaining to associative rings and algebras (16-02) Species, Hopf monoids, operads in combinatorics (18M80)

Related Items (17)

On antipodes of immaculate functions ⋮ Tropical Feynman integration in the Minkowski regime ⋮ Tutte polynomials for regular oriented matroids ⋮ Symbol alphabets from the Landau singular locus ⋮ Tautological classes of matroids ⋮ Antipodes of monoidal decomposition spaces ⋮ Celebrating Loday's associahedron ⋮ Essence of independence: Hodge theory of matroids since June Huh ⋮ Between graphical zonotope and graph-associahedron ⋮ Hopf monoids of ordered simplicial complexes ⋮ On Cohen-Macaulay Hopf monoids in species ⋮ The rotation distance of brooms ⋮ Signed permutohedra, delta‐matroids, and beyond ⋮ The Hopf monoid and the basic invariant of directed graphs ⋮ Weighted P-partitions enumerator ⋮ Integer points enumerator of hypergraphic polytopes ⋮ Properties of the \(\epsilon\)-expansion, Lagrange inversion and associahedra and the O(1) model

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