Daniel McGinnis

collaborators

5 papers

math.CO2025

A common generalization to strengthenings of Drisko's Theorem for intersections of two matroids

Eli Berger, Daniel McGinnis

Let $M$ and $N$ be two matroids on the same ground set $V$ . Let $A_{1}, \dots, A_{2 n - 1}$ be sets which are independent in both $M$ and $N$ , sati…

math.CO2025

Ehrhart Bounds for Panhandle and Paving Matroids Through Enumeration of Chain Forests

Danai Deligeorgaki, Daniel McGinnis, AndrÃ©s R. Vindas-MelÃ©ndez

Panhandle matroids are a specific family of lattice-path matroids corresponding to panhandle-shaped Ferrers diagrams. Their matroid polytopes are the subpolytopes carved from a hyp…

math.CO2025

The Existence and Structure of Universal Partial Cycles

Dylan Fillmore, Bennet Goeckner, Rachel Kirsch +2

A universal partial cycle (or upcycle) for $A^{n}$ is a cyclic sequence that covers each word of length $n$ over the alphabet $A$ exactly once -- like a De Bruijn…

math.CO2025

A topological product Tverberg Theorem

Andreas F. Holmsen, Grace McCourt, Daniel McGinnis +1

We prove a generalization of the topological Tverberg theorem. One special instance of our general theorem is the following: Let $I^$ denote the 8-dimensional simplex viewed as an…

math.CO2024

Matroid colorings of KKM covers

Daniel McGinnis

We prove a KKM-type theorem for matroid colored families of set coverings of a polytope. This generalizes Gale's colorful KKM theorem as well as recent sparse-colorful variants by…