Abstract
A poset P=(X,≺) is a split semiorder if a unit interval and a distinguished point in that interval can be assigned to each x∈X so that x≺y precisely when x's distinguished point precedes y's interval, and y's distinguished point follows x's interval. For each |X|≤10, we count the split semiorders and identify all posets that are minimal forbidden posets for split semiorders.
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Fishburn, P.C., Reeds, J.A. Counting Split Semiorders. Order 18, 119–128 (2001). https://doi.org/10.1023/A:1011967426437
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DOI: https://doi.org/10.1023/A:1011967426437