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New families of simplicial filtration functors
Samir Chowdhury, Nathaniel Clause, Facundo Memoli +2
The so called Čech and Vietoris-Rips simplicial filtrations are designed to capture information about the topological structure of metric datasets. These filtrations are two of the…
Flow polytopes of partitions
Karola Mészáros, Connor Simpson, Zoe Wellner
Recent progress on flow polytopes indicates many interesting families with product formulas for their volume. These product formulas are all proved using analytic techniques. Our w…
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…