Large schröder paths by types and symmetric functions

Su Hyung An, Sen Peng Eu, Sangwook Kim

研究成果: 雜誌貢獻文章同行評審

2 引文 斯高帕斯(Scopus)

摘要

In this paper we provide three results involving large Schröder paths. First, we enumerate the number of large Schröder paths by type. Second, we prove that these numbers are the coefficients of a certain symmetric function defined on the staircase skew shape when expanded in elementary symmetric functions. Finally we define a symmetric function on a Fuss path associated with its low valleys and prove that when expanded in elementary symmetric functions the indices are running over the types of all Schröder paths. These results extend their counterparts of Kreweras and Armstrong-Eu on Dyck paths respectively.

原文英語
頁(從 - 到)1229-1240
頁數12
期刊Bulletin of the Korean Mathematical Society
51
發行號4
DOIs
出版狀態已發佈 - 2014

ASJC Scopus subject areas

  • Mathematics(all)

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