2-complexes with large 2-girth

DOI10.1007/s00454-017-9926-3zbMath1381.05066arXiv1509.03871OpenAlexW2739855356MaRDI QIDQ1704898

Dominic Dotterrer, Matthew Kahle, Lawrence Guth

Publication date: 13 March 2018

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03871

zbMATH Keywords

homologyrandom simplicial complexescounting surfaces

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Simplicial sets and complexes in algebraic topology (55U10) Combinatorial aspects of simplicial complexes (05E45)

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Unnamed Item, Large simple \(d\)-cycles in simplicial complexes, Extremal hypercuts and shadows of simplicial complexes, The theta number of simplicial complexes, Minimum weight disk triangulations and fillings

Cites Work

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• Higher dimensional distortion of random complexes
• Homological connectivity of random 2-complexes
• The Moore bound for irregular graphs
• Girth and Euclidean distortion
• Collapsibility and vanishing of top homology in random simplicial complexes
• Random construction of Riemann surfaces
• On the existence of triangulated spheres in 3-graphs, and related problems