Lattice paths and generalized cluster complexes

Sen Peng Eu*, Tung Shan Fu

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

4 引文 斯高帕斯(Scopus)

摘要

In this paper we propose a variant of the generalized Schröder paths and generalized Delannoy paths by giving a restriction on the positions of certain steps. This generalization turns out to be reasonable, as attested by the connection with the faces of generalized cluster complexes of types A and B. As a result, we derive Krattenthaler's F-triangles for these two types by a combinatorial approach in terms of lattice paths.

原文英語
頁(從 - 到)1183-1210
頁數28
期刊Journal of Combinatorial Theory. Series A
115
發行號7
DOIs
出版狀態已發佈 - 2008 十月

ASJC Scopus subject areas

  • 理論電腦科學
  • 離散數學和組合
  • 計算機理論與數學

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