On the Number of Birch Partitions

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On the Number of Birch Partitions
Birch and Tverberg partitions are closely related concepts from discrete geometry. We show two properties for the number of Birch partitions: Evenness, and a lower bound. This implies the first non-trivial lower bound for the number of Tverberg partitions that holds for arbitrary q, where q is the number of partition blocks. The proofs are based on direct arguments, and do not use the equivariant method from topological combinatorics. We furthermore investigate whether these results admit a topological version.
Stephan Hell
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2008
Where DCG
Authors Stephan Hell
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