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math.CO2017★ 1 cited
Fair division and generalizations of Sperner- and KKM-type results
Megumi Asada, Florian Frick, Vivek Pisharody +4
We treat problems of fair division, their various interconnections, and their relations to Sperner's lemma and the KKM theorem as well as their variants. We prove extensions of Alo…
math.CO2016★ 2 cited
On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle conjecture
Megumi Asada, Ryan Chen, Florian Frick +5
Reay's relaxed Tverberg conjecture and Conway's thrackle conjecture are open problems about the geometry of pairwise intersections. Reay asked for the minimum number of points in E…