Hultman numbers, polygon gluings and matrix integrals
| Autor: | Alexeev, Nikita, Zograf, Peter |
|---|---|
| Rok vydání: | 2011 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The Hultman numbers enumerate permutations whose cycle graph has a given number of alternating cycles (they are relevant to the Bafna-Pevzner approach to genome comparison and genome rearrangements). We give two new interpretations of the Hultman numbers: in terms of polygon gluings and as integrals over the space of complex matrices, and derive some properties of their generating functions. Comment: 9 pages, 2 figures |
| Databáze: | arXiv |
| Externí odkaz: |
|