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Paper detail

Rainbow Ramsey problems for the Boolean lattice

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 $B_n$ 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 $B_n$ that do not admit rainbow antichains of size $k$.

preprint2020arXivOpen access
Fei-Huang ChangDániel GerbnerWei-Tian LiAbhishek MethukuDániel NagyBalázs PatkósMáté Vizer
math.CO
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Fei-Huang ChangDániel GerbnerWei-Tian LiAbhishek MethukuDániel NagyBalázs PatkósMáté Vizer

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