On a conjecture about enumerating (2+2)(2+2)-free posets

preprint2010arXivOpen access

Abstract

Recently, Kitaev and Remmel posed a conjecture concerning the generating function for the number of unlabeled (2+2)(2+2)-free posets with respect to number of elements and number of minimal elements. In this paper, we present a combinatorial proof of this conjecture.

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