P'eter P'al Pach

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20112022

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3 citations · 7 across the 13 of their papers we have counts for

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math.CO2022

Towards characterizing the 2-Ramsey equations of the form $a x + b y = p (z)$

Zsolt Baja, Dániel Dobák, Benedek Kovács +2

In this paper, we study a Ramsey-type problem for equations of the form $a x + b y = p (z)$ . We show that if certain technical assumptions hold, then any 2-colouring of the positive integ…

math.CO2022

Irredundant hyperplane covers

János Nagy, Péter Pál Pach, István Tomon

We prove that if $G$ is an abelian group and $H_{1} x_{1}, \dots, H_{k} x_{k}$ is an irredundant (minimal) cover of $G$ with cosets, then $∣ G : i = 1 ⋂ k H_{i} ∣ = 2^{O (k)} .$ This bound…

Towards characterizing the 2-Ramsey equations of the form ax+by=p(z)

Irredundant hyperplane covers

Towards characterizing the 2-Ramsey equations of the form $a x + b y = p (z)$