Weighted Dyck Paths with Special Restrictions on the Levels of Valleys
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DOI: 10.1007/s00373-021-02451-1
Abstract: This paper concentrates on the set $$\mathcal {V}_n$$ V n of weighted Dyck paths of length 2 n with special restrictions on the level of valleys. We first give its explicit formula of the counting… read more here.
Keywords: weight functions; paths special; restrictions levels; dyck paths ... See more keywords
Coxeter’s Frieze Patterns Arising from Dyck Paths
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DOI: 10.1007/s11587-021-00594-0
Abstract: Frieze patterns are defined by objects of a category of Dyck paths, to do that, it is introduced the notion of diamond of Dynkin type $${\mathbb {A}}_{n}$$ . Such diamonds constitute a tool to build… read more here.
Keywords: patterns arising; arising dyck; coxeter frieze; frieze patterns ... See more keywords