Abstract:Felsner and Reuter introduced the linear extension diameter of a partially
ordered set $\mathbf{P}$, denoted $\mbox{led}(\mathbf{P})$, as the maximum
distance between two linear extensions of $\mathbf{P}$, where distance is
defined to be the number of incomparable pairs appearing in opposite orders
(reversed) in the linear extensions. In this paper, we introduce the reversal
ratio $RR(\mathbf{P})$ of $\mathbf{P}$ as the ratio of the linear extension
diameter to the number of (unordered) incomparable pairs. We … Show more
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