Bence Csajbók

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math.CO2026

Small complete 3-term progression free sets in cyclic groups and vector spaces

Bence Csajbók, Zoltán Lóránt Nagy

A classical extremal problem on progression free sets is to determine the maximum size of a $3$ -term arithmetic progression free set in algebraic structures, for instance in interv…

math.CO2024

Complete $3$ -term arithmetic progression free sets of small size in vector spaces and other abelian groups

Bence Csajbók, Zoltán Lóránt Nagy

A subset $S$ of an abelian group $G$ is called $3$ - $AP$ free if it does not contain a three term arithmetic progression. Moreover, $S$ is called complete $3$ - $AP$ …

Small complete 3-term progression free sets in cyclic groups and vector spaces

Complete 3-term arithmetic progression free sets of small size in vector spaces and other abelian groups

Complete $3$ -term arithmetic progression free sets of small size in vector spaces and other abelian groups