Lattice paths and generalized cluster complexes |
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| Authors: | Sen-Peng Eu Tung-Shan Fu |
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| Affiliation: | a Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811, Taiwan, ROC
b Mathematics Faculty, National Pingtung Institute of Commerce, Pingtung 900, Taiwan, ROC |
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| Abstract: | 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. |
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| Keywords: | Lattice paths Generalized cluster complex Schrö der paths Delannoy paths |
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