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Showing 1 to 1 of 1 for “"Comparable pair"”.
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Extremal problems on counting combinatorial structures
… families in posets with the smallest number of comparable pairs. Given a poset $P$, a family $\F\subseteq P$ is \emph{centered} if it is obtained by `taking sets as close to the middle layer as possible'. A poset $P$ is said to have the \emph{centeredness property} if for any $M$, among all …