Partitioned Cacti: a Bijective Approach to the Cycle Factorization Problem

In this paper we construct a bijection for partitioned 3-cacti that gives raise to a new formula for enumeration of factorizations of the long cycle into three permutations with given number of cycles.

Bibliographic Details
Main Authors: Gilles Schaeffer, Ekaterina Vassilieva
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2008-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3614/pdf