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

Mathematics – Combinatorics

Scientific paper

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Scientific paper

Recently, Kitaev and Remmel posed a conjecture concerning the generating
function for the number of unlabeled $(2+2)$-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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