Dyck tilings of type D
Abstract
We introduce and study cover-inclusive and cover-exclusive Dyck tilings of type D. It is shown that the generating functions of Dyck tilings of type D are expressed in terms of the generating function of ballot tilings of type B. We introduce link patterns of type D and plane trees for a ballot path, and construct a map from trees to Z[q]. This map gives the generating function of cover-inclusive Dyck tilings of type D associated to the ballot path.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.