Rainbow Ramsey Problems for the Boolean Lattice

Author:

Chang Fei-Huang,Gerbner Dániel,Li Wei-Tian,Methuku Abhishek,Nagy Dániel T.,Patkós BalázsORCID,Vizer Máté

Abstract

AbstractWe 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.

Funder

Nemzeti Kutatási Fejlesztési és Innovációs Hivatal

Magyar Tudományos Akadémia

Ministry of Science and Technology, Taiwan

ELKH Alfréd Rényi Institute of Mathematics

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Geometry and Topology,Algebra and Number Theory

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1. Poset Ramsey number R(P,Q). III. Chain compositions and antichains;Discrete Mathematics;2024-07

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