3 citations · 8 across the 13 of their papers we have counts for
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math.AG2021★ 2 cited
Intersection Bodies of Polytopes
Katalin Berlow, Marie-Charlotte Brandenburg, Chiara Meroni +1
We investigate the intersection body of a convex polytope using tools from combinatorics and real algebraic geometry. In particular, we show that the intersection body of a polytop…
math.CO2021
Competitive equilibrium always exists for combinatorial auctions with graphical pricing schemes
Marie-Charlotte Brandenburg, Christian Haase, Ngoc Mai Tran
We show that a competitive equilibrium always exists in combinatorial auctions with anonymous graphical valuations and pricing, using discrete geometry. This is an intuitive and ea…