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2021
Enumeration of Fuss-Catalan paths by type and blocks
Enumeration of Fuss-Catalan paths by type and blocks
호남수학회
김상욱
논문정보
- Publisher
- 호남수학학술지
- Issue Date
- 2021-12-31
- Keywords
- -
- Citation
- -
- Source
- -
- Journal Title
- -
- Volume
- 43
- Number
- 4
- Start Page
- 641
- End Page
- 653
- DOI
- ISSN
- 1225293X
Abstract
Armstrong enumerated the number of Fuss-Catalan paths with a given type and Rhoades provided the number of Dyck paths with a given type and a given number of blocks.
In this paper we generalize those results to enumerate the number of Fuss-Catalan paths with a fixed type and a fixed number of blocks.
We provide two proofs of this result.
The first one uses the Chung-Feller theorem and a certain polynomial, while the second one is bijective.
Also, we give a conjecture generalizing this result to the family of small Fuss-\Sch paths.
- 전남대학교
- KCI
- 호남수학학술지
저자 정보
| 이름 | 소속 |
|---|---|
| 김상욱 | 수학과 |