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Rainbow Ramsey Problems for the Boolean Lattice

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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… Click to show full 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.

Keywords: rainbow ramsey; ramsey problems; rainbow; boolean lattice

Journal Title: Order
Year Published: 2021

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