Link complexes of subspace arrangements

DOI10.1016/j.ejc.2005.12.006zbMath1113.52038arXivmath/0507314OpenAlexW1970863601MaRDI QIDQ872034

Axel Hultman

Publication date: 27 March 2007

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0507314

zbMATH Keywords

hyperplane arrangementCoxeter arrangementSteingrímsson's coloring complex of a graph

Mathematics Subject Classification ID

Hypergraphs (05C65) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Coloring of graphs and hypergraphs (05C15) Shellability for polytopes and polyhedra (52B22)

Related Items (8)

Hyperoctahedral Eulerian idempotents, Hodge decompositions, and signed graph coloring complexes ⋮ The coloring complex and cyclic coloring complex of a complete \(k\)-uniform hypergraph ⋮ On Cohen-Macaulay Hopf monoids in species ⋮ Bounds on the coefficients of tension and flow polynomials ⋮ Hypergraph coloring complexes ⋮ The Hodge structure of the coloring complex of a hypergraph ⋮ Coloring complexes and arrangements ⋮ Coloring complexes and combinatorial Hopf monoids

Cites Work

• Signed graph coloring
• The Koszul property in affine semigroup rings
• Homotopy types of subspace arrangements via diagrams of spaces
• \(q\)-Eulerian polynomials arising from Coxeter groups
• Hilbert polynomials in combinatorics
• Graph colorings and related symmetric functions: ideas and applications: A description of results, interesting applications, and notable open problems.
• The topology of the coloring complex
• A Partial Order on the Regions of R n Dissected by Hyperplanes
• The Geometry of Root Systems and Signed Graphs
• Oriented Matroids
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• The coloring ideal and coloring complex of a graph

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