PeaksMinusNakayamaDominantDimension on DyckPath
The peaks of the path less the dominant dimension of its linear Nakayama algebra.
Called as CombinatorialStat(x, "PeaksMinusNakayamaDominantDimension"). The head's page has its examples.
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FindStat St000970
The number of peaks of a Dyck path minus the dominant 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] | 1 |
[1,1,0,0,1,0] | 1 |
[1,1,0,1,0,0] | 1 |
[1,1,1,0,0,0] | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000970 has the rest.