14 citations · 17 across the 4 of their papers we have counts for
4 papers
Quantitative Tverberg, Helly, & Carathéodory theorems
J. A. De Loera, R. N. La Haye, D. Rolnick +1
This paper presents sixteen quantitative versions of the classic Tverberg, Helly, & Caratheodory theorems in combinatorial convexity. Our results include measurable or enumerable i…
On the growth of Stanley sequences
David Rolnick, Praveen S. Venkataramana
A set is said to be \emph{3-free} if no three elements form an arithmetic progression. Given a 3-free set of integers , the \emph{Stanley sequence} $S(A)=…
On the classification of Stanley sequences
David Rolnick
An integer sequence is said to be 3-free if no three elements form an arithmetic progression. Following the greedy algorithm, the Stanley sequence is define…
Acyclic Subgraphs of Planar Digraphs
Noah Golowich, David Rolnick
An acyclic set in a digraph is a set of vertices that induces an acyclic subgraph. In 2011, Harutyunyan conjectured that every planar digraph on vertices without directed 2-cyc…