Bob Proctor
Professor of Mathematics University of North Carolina |

Let's Expand Rota's Twelvefold Way For Counting Partitions!

Every d-complete poset has the jeu de taquin property.

Every d-complete poset has the hook length property.

The number of order extensions of a d-complete poset is given by a hook length product formula which generalizes the famous Frame-Robinson-Thrall formula for the number of standard Young tableaux on a given shape.

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