Bijective Enumeration of Bicolored Maps of Given Vertex Degree Distribution

We derive a new formula for the number of factorizations of a full cycle into an ordered product of two permutations of given cycle types. For the first time, a purely combinatorial argument involving a bijective description of bicolored maps of specified vertex degree distribution is used. All the...

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Bibliographic Details
Main Authors: Alejandro Morales, Ekaterina Vassilieva
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2009-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2682/pdf