Multinerves and helly numbers of acyclic families

DOI10.1145/2261250.2261282zbMath1293.68286OpenAlexW1963491718MaRDI QIDQ2874582

Grégory Ginot, Xavier Goaoc, Éric Colin de Verdière

Publication date: 7 August 2014

Published in: Proceedings of the twenty-eighth annual symposium on Computational geometry (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/hal-00752073/file/multinerve-socg.pdf

zbMATH Keywords

combinatoricsspectral sequencetopologyHelly's theoremgood covernervegeometric transversal theorymultinerveacyclic family

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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Structure and stability of the one-dimensional Mapper ⋮ The Offset Filtration of Convex Objects ⋮ Nerve complexes of circular arcs ⋮ What can topology tell us about the neural code? ⋮ Helly’s theorem: New variations and applications ⋮ Probabilistic convergence and stability of random mapper graphs

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