Research Hub

대학 자원

대학 인프라와 자원을 공유해 공동 연구와 기술 활용을 지원합니다.

Loading...

논문 리스트

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.

저자 정보

이름 소속
김상욱 수학과