DimensionExponent on SetPartition
The sum over blocks of span minus (size - 1).
Called as CombinatorialStat(x, "DimensionExponent"). The head's page has its examples.
Live
FindStat St000572
The dimension exponent of a set partition.
| Object | Value |
|---|---|
{{1,2}} | 0 |
{{1,2,3}} | 0 |
{{1},{2}} | 0 |
{{1,2,3,4}} | 0 |
{{1,2},{3}} | 0 |
{{1,3},{2}} | 1 |
{{1},{2,3}} | 0 |
{{1,2,3,4,5}} | 0 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000572 has the rest.