Zolt'an L'or'ant Nagy

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20222026

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math.CO2024

Partitioning the projective plane to two incidence-rich parts

Zoltán Lóránt Nagy

An internal or friendly partition of a vertex set $V (G)$ of a graph $G$ is a partition to two nonempty sets $A \cup B$ such that every vertex has at least as many neighbours in its…

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 $3$ - $AP$ …

Partitioning the projective plane to two incidence-rich parts

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