A. Berger

activity

20162026

11 citations · 17 across the 10 of their papers we have counts for

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Showing 2019Show all

3 papers · 1 filter

math.CO2019★ 1 cited

Popular Differences for Corners in Abelian Groups

Aaron Berger

For a compact abelian group $G$ , a corner in $G \times G$ is a triple of points $(x, y)$ , $(x, y + d)$ , $(x + d, y)$ . The classical corners theorem of Ajtai and Szemerédi implies that for…

math.CO2019

On Anti-Powers in Aperiodic Recurrent Words

Aaron Berger, Colin Defant

Fici, Restivo, Silva, and Zamboni define a $\textit{$k$-anti-power}$ to be a concatenation of $k$ consecutive words that are pairwise distinct and have the same length. They ask fo…

math.CO2019

Connected-Intersecting Families of Graphs

Aaron Berger, Ross Berkowitz, Pat Devlin +4

For a graph property $P$ and a common vertex set $V = {1, 2, \dots, n}$ , a family of graphs on $V$ is \emph{ $P$ -intersecting} iff $G \cap H$ satisfies $\math…