2 papers
math.CO2017
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
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…