Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8903214 | Discrete Mathematics | 2017 | 9 Pages |
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
Authors
Xun-Tuan Su,