S. Arun

collaborators

2 papers

math.MG2025

Hollow polytopes with many vertices

Srinivas Arun, Travis Dillon

Given a set $S \subseteq R^{d}$ , a hollow polytope has vertices in $S$ but contains no other point of $S$ in its interior. We prove upper and lower bounds on the maximum num…

math.CO2025

Improved Helly numbers of product sets

Srinivas Arun, Travis Dillon

A finite family $F$ of convex sets is $k$ -intersecting in $S \subseteq R^{d}$ if the intersection of every subset of $k$ convex sets in $F$ contains a poin…