Author

Andrzej Grzesik

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Preprint Aug 2026

Rainbow Tur\'an numbers for paths of length four

Given a set $V$ of $n$ vertices and an integer $k\ge1$, our goal is to maximize the number of edges in graphs $G_1, G_2, \ldots, G_k$, defined on $V$, under the constraint that the union of all graphs, thought of as a multi-graph, does not contain a rainbow copy of the path $P_5$ on $5$ vertices, that is, a copy of $P_...

Sylwia Antoniuk, Andrzej Grzesik, Magdalena Prorok et al. · 0 citations

Preprint Sep 2026

Maximizing $K_r + I_r$ in graphs with fixed edge density

After the initial idea for the main proof was found by the authors, various AI models were used to streamline the argument and perform the calculations necessary for completion of the proof.

J'ozsef Balogh, Andrzej Grzesik, Bernard Lidický et al. · 0 citations