Daniel McGinnis

activity

20182026

most citedImproved bounds on a generalization of Tuza's conjecture

3 citations · 10 across the 12 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022

Piercing families of convex sets in the plane that avoid a certain subfamily with lines

Daniel McGinnis

We define a $C (k)$ to be a family of $k$ sets $F_{1}, \dots, F_{k}$ such that $conv (F_{i} \cup F_{i + 1}) \cap conv (F_{j} \cup F_{j + 1}) = \emptyset$ when $\{i,i+1\}\cap \{j,j+1\}=…

math.CO2022★ 2 cited

Lattice points in slices of prisms

Luis Ferroni, Daniel McGinnis

We conduct a systematic study of the Ehrhart theory of certain slices of rectangular prisms. Our polytopes are generalizations of the hypersimplex and are contained in the larger c…

math.CO2022

Ehrhart Theory of Paving and Panhandle Matroids

Derek Hanely, Jeremy L. Martin, Daniel McGinnis +4

We show that the base polytope $P_{M}$ of any paving matroid $M$ can be systematically obtained from a hypersimplex by slicing off certain subpolytopes, namely base polytopes of latt…