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A Ramsey theorem for partial orders with linear extensions

We prove a Ramsey theorem for finite sets equipped with a partial order and a fixed number of linear orders extending the partial order. This is a common generalization of two recent Ramsey theorems due to Sokić. As a bonus, our proof gives new arguments for these two results.

preprint2015arXivOpen access
Slawomir SoleckiMin Zhao
math.CO
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Open access2 authors1 topic
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Slawomir SoleckiMin Zhao

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