Chromatic numbers of simplicial manifolds

DOI10.1007/s13366-019-00474-7zbMath1444.05158arXiv1503.08251OpenAlexW2983248411WikidataQ114687570 ScholiaQ114687570MaRDI QIDQ784756

Frank H. Lutz, Jesper Michael Møller

Publication date: 3 August 2020

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08251

zbMATH Keywords

surfacetriangulationSteiner triple systemsimplicial complexhigher chromatic numbers

Mathematics Subject Classification ID

General topology of complexes (57Q05) Hypergraphs (05C65) Triangulating manifolds (57Q15) Coloring of graphs and hypergraphs (05C15) Triple systems (05B07) Combinatorial aspects of simplicial complexes (05E45)

Related Items (1)

Chromatic polynomials of simplicial complexes

Uses Software

• Library of Triangulations

Cites Work

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• Knots in collapsible and non-collapsible balls
• Tilings of nonorientable surfaces by Steiner triple systems
• Some simplified NP-complete graph problems
• Caps and colouring Steiner triple systems
• The automorphism groups of Steiner triple systems obtained by the Bose construction
• Topological lower bounds for the chromatic number: a hierarchy
• Maximum genus embeddings of Steiner triple systems
• Coloring face-hypergraphs of graphs on surfaces
• Coloring \(d\)-embeddable \(k\)-uniform hypergraphs
• Über das Problem der Nachbargebiete auf orientierbaren Flächen
• The lower bound conjecture for 3- and 4-manifolds
• Simplicial Manifolds, Bistellar Flips and a 16-Vertex Triangulation of the Poincaré Homology 3-Sphere
• Self-embeddings of cyclic and projective Steiner quasigroups
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• Coloring Steiner Triple Systems
• A Peculiar Triangulation of the 3-Sphere
• Every planar map is four colorable
• Surface embeddings of Steiner triple systems
• 5‐chromatic steiner triple systems
• Reducibility among Combinatorial Problems
• Random Discrete Morse Theory and a New Library of Triangulations
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
• ON THE CONSTRUCTION OF BALANCED INCOMPLETE BLOCK DESIGNS
• Map-Colour Theorems

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