Article ID Journal Published Year Pages File Type
8903214 Discrete Mathematics 2017 9 Pages PDF
Abstract
The flows on rooted trees were recently introduced in the study of the free Pre-Lie group. In this paper, we establish a bijection between the closed flows on specific rooted trees called forks and the classical ballot paths. As a consequence, an enumeration formula conjectured by F. Chapoton is bijectively proved.
Keywords
Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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