Judicious partitions of hypergraphs
- 👤 Speaker: John Haslegrave (University of Cambridge)
- 📅 Date & Time: Thursday 10 March 2011, 15:00 - 16:00
- 📍 Venue: MR12
Abstract
Judicious partitioning problems on hypergraphs seek to find partitions of the vertex set such that a given parameter is reasonably large for every part. Typically we ask for the maximum value which can be acheived for any hypergraph. Bollobas and Thomason conjectured that for a particular problem on r-uniform hypergraphs the worst case is given by the complete hypergraph on 2r-1 vertices; we prove this conjecture in the case r=3.
Series This talk is part of the Combinatorics Seminar series.
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John Haslegrave (University of Cambridge)
Thursday 10 March 2011, 15:00-16:00