Combinatorial Hopf Algebras of Simplicial Complexes

DOI10.1137/15M1038281zbMath1350.16026arXiv1505.04458MaRDI QIDQ2820857

Carolina Benedetti, John Machacek, Joshua W. Hallam

Publication date: 9 September 2016

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.04458

zbMATH Keywords

antipodessimplicial complexescoloringsquasi-symmetric functionscombinatorial Hopf algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of simplicial complexes (05E45) Connections of Hopf algebras with combinatorics (16T30)

Related Items (11)

Plurigraph coloring and scheduling problems ⋮ Hopf Monoids and Generalized Permutahedra ⋮ Quasisymmetric Functions for Nestohedra ⋮ On the cancellation-free antipode formula for the Malvenuto-Reutenauer Hopf algebra ⋮ New invariants for permutations, orders and graphs ⋮ Antipodes and involutions ⋮ The antipode of linearized Hopf monoids ⋮ The Hopf monoid of hypergraphs and its sub-monoids: basic invariant and reciprocity theorem ⋮ Polynomial invariants and reciprocity theorems for the Hopf monoid of hypergraphs and its sub-monoids ⋮ Hypergraphic polytopes: combinatorial properties and antipode ⋮ Integer points enumerator of hypergraphic polytopes

Cites Work

• Unnamed Item
• Chromatic polynomials of simplicial complexes
• Generalized Dehn-Sommerville relations for hypergraphs
• Graphs with equal chromatic symmetric functions
• Antipodes and involutions
• Incidence Hopf algebras
• A symmetric function generalization of the chromatic polynomial of a graph
• On distinguishing trees by their chromatic symmetric functions
• Free Hopf algebras generated by coalgebras
• Acyclic orientations of graphs
• The Incidence Hopf Algebra of Graphs
• Combinatorial Hopf algebras and generalized Dehn–Sommerville relations

This page was built for publication: Combinatorial Hopf Algebras of Simplicial Complexes