Random Steiner systems and bounded degree coboundary expanders of every dimension
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Date
2015-12-28Type
- Working Paper
ETH Bibliography
yes
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Abstract
We introduce a new model of random d-dimensional simplicial complexes, for d≥2, whose (d−1)-cells have bounded degrees. We show that with high probability, complexes sampled according to this model are coboundary expanders. The construction relies on Keevash's recent result on designs [Ke14], and the proof of the expansion uses techniques developed by Evra and Kaufman in [EK15]. This gives a full solution to a question raised in [DK12], which was solved in the two-dimensional case by Lubotzky and Meshulam [LM13]. Show more
Publication status
publishedExternal links
Journal / series
arXivPages / Article No.
Publisher
Cornell UniversityOrganisational unit
03900 - Nolin, Pierre
02889 - ETH Institut für Theoretische Studien / ETH Institute for Theoretical Studies
Related publications and datasets
Is previous version of: https://doi.org/10.3929/ethz-b-000261494
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ETH Bibliography
yes
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