The Hopf monoid of hypergraphs and its sub-monoids: basic invariant and reciprocity theorem

DOI10.37236/8740zbMath1434.05100arXiv1806.08546OpenAlexW2901299270MaRDI QIDQ2294101

Theo Karaboghossian, Jean-Christophe Aval, Adrian Tanasa

Publication date: 10 February 2020

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08546

zbMATH Keywords

polynomial invariants on Hopf monoidsreciprocity theorem on hypergraphs

Mathematics Subject Classification ID

Hypergraphs (05C65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Combinatorial aspects of simplicial complexes (05E45) Hopf algebras and their applications (16T05)

Related Items (3)

Universal Tutte polynomial ⋮ Polynomial invariants and reciprocity theorems for the Hopf monoid of hypergraphs and its sub-monoids ⋮ Pruned inside-out polytopes, combinatorial reciprocity theorems and generalized permutahedra

Cites Work

• Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach
• Une théorie combinatoire des séries formelles
• Hopf algebras and Tutte polynomials
• Hopf algebra methods in graph theory
• Wonderful models of subspace arrangements
• Polynomial invariants and reciprocity theorems for the Hopf monoid of hypergraphs and its sub-monoids
• Combinatorial Hopf Algebras of Simplicial Complexes
• Monoidal Functors, Species and Hopf Algebras
• Hopf monoids in the category of species
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations
• Permutohedra, Associahedra, and Beyond
• Quasisymmetric Functions for Nestohedra
• Critical groups for Hopf algebra modules
• The antipode of linearized Hopf monoids
• Hypergraphic polytopes: combinatorial properties and antipode

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