Set systems without a simplex or a cluster |
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| Authors: | Peter Keevash Dhruv Mubayi |
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| Affiliation: | 1. School of Mathematical Sciences Queen Mary, University of London, Mile End Road, Room B14, London, E1 4NS, UK
2. Department of Mathematics, Statistics, & Computer Science, University of Illinois at Chicago, 851 S. Morgan Street, Chicago, IL, 60607-7045, USA
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| Abstract: | A d-dimensional simplex is a collection of d+1 sets with empty intersection, every d of which have nonempty intersection. A k-uniform d-cluster is a collection of d+1 sets of size k with empty intersection and union of size at most 2k. |
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