Lattice paths and generalized cluster complexes

Sen Peng Eu*, Tung Shan Fu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1183-1210
Number of pages28
JournalJournal of Combinatorial Theory. Series A
Issue number7
Publication statusPublished - 2008 Oct
Externally publishedYes


  • Delannoy paths
  • Generalized cluster complex
  • Lattice paths
  • Schröder paths

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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