50 citations · 163 across the 15 of their papers we have counts for
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A Note on Masspartitions by Hyperplanes
Benjamin Matschke
A triple of positive integers (d,h,m) is admissible if for any m given masses in R^d there exist h hyperplanes that cut each of these masses into 2^h equal pieces. We present an el…
Optimal bounds for a colorful Tverberg--Vrecica type problem
Pavle Blagojevic, Benjamin Matschke, Gunter Ziegler
We prove the following optimal colorful Tverberg-Vrecica type transversal theorem: For prime r and for any k+1 colored collections of points C^l of size |C^l|=(r-1)(d-k+1)+1 in R^d…
Optimal bounds for the colored Tverberg problem
Pavle V. M. Blagojević, Benjamin Matschke, Günter M. Ziegler
We prove a "Tverberg type" multiple intersection theorem. It strengthens the prime case of the original Tverberg theorem from 1966, as well as the topological Tverberg theorem of B…
Prodsimplicial-Neighborly Polytopes
Benjamin Matschke, Julian Pfeifle, Vincent Pilaud
Simultaneously generalizing both neighborly and neighborly cubical polytopes, we introduce PSN polytopes: their k-skeleton is combinatorially equivalent to that of a product of r s…