3 papers
math.CO2025
A non-face characterization of spheres on few vertices
Shuai Huang, Jasper Miller, Daniel Rose-Levine +1
We prove a relatively simple combinatorial characterization of simplicial -spheres on vertices. Our criteria are given in terms of the intersection patterns of a simplicia…
math.CO2024
Fan distributions via Tverberg partitions and Gale duality
Shuai Huang, Jasper Miller, Daniel Rose-Levine +1
Equipartition theory, beginning with the classical ham sandwich theorem, seeks the fair division of finite point sets in by the full-dimensional regions determined b…
math.CO2023
Topological methods in zero-sum Ramsey theory
Florian Frick, Jacob Lehmann Duke, Meenakshi McNamara +5
A cornerstone result of Erd\H os, Ginzburg, and Ziv (EGZ) states that any sequence of elements in contains a zero-sum subsequence of length . While algebra…