Natalie C. Behague

collaborators

2 papers

math.CO2023

An Approximate Counting Version of the Multidimensional Szemerédi Theorem

Natalie Behague, Joseph Hyde, Natasha Morrison +2

For any fixed $d \geq 1$ and subset $X$ of $N^{d}$ , let $r_{X} (n)$ be the maximum cardinality of a subset $A$ of ${1, \dots, n}^{d}$ which does not contain a subset of the form $\…

math.CO2018

Hypergraph Saturation Irregularities

Natalie C. Behague

Let $F$ be a family of $r$ -graphs. An $r$ -graph $G$ is called $F$ -saturated if it does not contain any members of $F$ but adding any edge creates a co…