PeaksMinusNakayamaGlobalDimension on DyckPath
The peaks of the path less the global dimension of its linear Nakayama algebra.
Called as CombinatorialStat(x, "PeaksMinusNakayamaGlobalDimension"). The head's page has its examples.
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FindStat St000966
The number of peaks of a Dyck path minus the global dimension of the corresponding linear Nakayama algebra.
| Object | Value |
|---|---|
[1,0] | 0 |
[1,0,1,0] | 0 |
[1,1,0,0] | 0 |
[1,0,1,0,1,0] | 0 |
[1,0,1,1,0,0] | 0 |
[1,1,0,0,1,0] | 0 |
[1,1,0,1,0,0] | 0 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000966 has the rest.