MinimalCylindricalInnerHeight on StandardTableau
The number of rows less the overlap of the cylindrical tableau.
The height of the rectangular inner shape of the cylindrical tableau built from two copies (FindStat's St001804). The empty tableau gives 0.
Called as CombinatorialStat(x, "MinimalCylindricalInnerHeight"). The head's page has its examples.
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FindStat St001804
The minimal height of the rectangular inner shape in a cylindrical tableau associated to a tableau.
| Object | Value |
|---|---|
[[1]] | 1 |
[[1,2]] | 1 |
[[1,2,3]] | 1 |
[[1],[2]] | 1 |
[[1,2,3,4]] | 1 |
[[1,2],[3]] | 1 |
[[1,3],[2]] | 2 |
[[1,2,3,4,5]] | 1 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St001804 has the rest.