Bijective Enumeration of 3-Factorizations of an N-Cycle

Published 30 Nov 2012 in math.CO | (1211.7329v1)

Abstract: This paper is dedicated to the factorizations of the symmetric group. Introducing a new bijection for partitioned 3-cacti, we derive an el- egant 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.

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Authors (1)

E. A. Vassilieva

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