REAL

Rainbow Ramsey Problems for the Boolean Lattice

Chang, Fei-Huang and Gerbner, Dániel and Li, Wei-Tian and Methuku, Abhishek and Nagy, Dániel and Patkós, Balázs and Vizer, Máté (2021) Rainbow Ramsey Problems for the Boolean Lattice. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS. ISSN 0167-8094

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Abstract

We address the following rainbow Ramsey problem: For posets P,Q what is the smallest number n such that any coloring of the elements of the Boolean lattice Bn either admits a monochromatic copy of P or a rainbow copy of Q. We consider both weak and strong (non-induced and induced) versions of this problem. We also investigate related problems on (partial) k-colorings of Bn that do not admit rainbow antichains of size k.

Item Type: Article
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 12 Sep 2022 08:26
Last Modified: 12 Sep 2022 08:26
URI: http://real.mtak.hu/id/eprint/148292

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