@article{7153dd16470d40d896c57d31b5c149ef,
title = "Lattice paths and generalized cluster complexes",
abstract = "In this paper we propose a variant of the generalized Schr{\"o}der 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.",
keywords = "Delannoy paths, Generalized cluster complex, Lattice paths, Schr{\"o}der paths",
author = "Eu, {Sen Peng} and Fu, {Tung Shan}",
note = "Funding Information: E-mail addresses: speu@nuk.edu.tw (S.-P. Eu), tsfu@npic.edu.tw (T.-S. Fu). 1 Partially supported by National Science Council (NSC), Taiwan, under grant 95-2115-M-390-006-MY3 and TJ & MY Foundation. 2 Partially supported by NSC under grant 95-2115-M-215-001-MY2.",
year = "2008",
month = oct,
doi = "10.1016/j.jcta.2007.12.011",
language = "English",
volume = "115",
pages = "1183--1210",
journal = "Journal of Combinatorial Theory - Series A",
issn = "0097-3165",
publisher = "Academic Press Inc.",
number = "7",
}