A Chung-Feller property for the generalized Schroder paths
Yang, Lin; Yang, Sheng-Liang

In this paper, we consider the generalized Delannoy paths with steps E = (1, 0), D = (1, 1), N = (0, 1), and N' = (0, 2), where each step is labelled with weights 1, a, b, and d, respectively. By using Riordan array method to study enumeration of these paths in general case and with the restriction that no step goes above the main diagonal, we obtain three families of matrices. We consider the correlation between these matrices, and obtain a Chung-Feller type theorem for these paths. By way of illustration, we give several examples of Riordan arrays. (C) 2020 Elsevier B.V. All rights reserved.

KeywordDelannoy path Schroder path Dyck path Chung-Feller theorem Generating function Riordan array
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[11861045][11561044]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000528201500018
Document Type期刊论文
Corresponding AuthorYang, Sheng-Liang
AffiliationLanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
First Author AffilicationColl Mat Sci & Engn
Corresponding Author AffilicationColl Mat Sci & Engn
First Signature AffilicationColl Mat Sci & Engn
Recommended Citation
GB/T 7714
Yang, Lin,Yang, Sheng-Liang. A Chung-Feller property for the generalized Schroder paths[J]. DISCRETE MATHEMATICS,2020,343(5).
APA Yang, Lin,&Yang, Sheng-Liang.(2020).A Chung-Feller property for the generalized Schroder paths.DISCRETE MATHEMATICS,343(5).
MLA Yang, Lin,et al."A Chung-Feller property for the generalized Schroder paths".DISCRETE MATHEMATICS 343.5(2020).
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