no code implementations • 5 Mar 2021 • Priyavrat Deshpande, Krishna Menon, Anurag Singh
Consider the collection of hyperplanes in $\mathbb{R}^n$ whose defining equations are given by $\{x_i + x_j = 0\mid 1\leq i<j\leq n\}$.
Combinatorics 52C35, 05C30, 11B73
no code implementations • 28 Jan 2021 • Priyavrat Deshpande, Krishna Menon, Anurag Singh
We call it the \emph{boxed threshold arrangement} since we show that the bounded regions of this arrangement are contained in an $n$-cube and are in one-to-one correspondence with the labeled threshold graphs on $n$ vertices.
Combinatorics 52C35, 32S22, 05C30, 11B68
