ShortestPalindromicDecompositionLength on BinaryWord
The fewest palindromic factors the word is a concatenation of.
FindStat's St000630. The table holds the fewest pieces for each prefix.
Called as CombinatorialStat(x, "ShortestPalindromicDecompositionLength"). The head's page has its examples.
Live
Distribution
Over BinaryWords at each size, tallied here in your browser; sizes past 6 are not offered.
FindStat St000630
The length of the shortest palindromic decomposition of a binary word.
| Object | Value |
|---|---|
0 | 1 |
1 | 1 |
00 | 1 |
01 | 2 |
10 | 2 |
11 | 1 |
000 | 1 |
001 | 2 |
Data from FindStat, the combinatorial statistic finder; the page at findstat.org/St000630 has the rest.