Abstract
This paper is dedicated to the factorizations of the symmetric group. Introducing a new bijection for partitioned 3-cacti, we derive an elegant formula for the number of factorizations of a long cycle into a product of three permutations. As the most salient aspect, our construction provides the first purely combinatorial computation of this number.
| Original language | English |
|---|---|
| Pages (from-to) | 367-387 |
| Number of pages | 21 |
| Journal | Annals of Combinatorics |
| Volume | 16 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Jun 2012 |
Keywords
- Harer-Zagier formula
- Jackson formula
- cacti
- cactus trees
- permutations
Fingerprint
Dive into the research topics of 'Bijective Enumeration of 3-Factorizations of an N-Cycle'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver