کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8902973 1632398 2018 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dyck paths with a first return decomposition constrained by height
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
Dyck paths with a first return decomposition constrained by height
چکیده انگلیسی
We study the enumeration of Dyck paths having a first return decomposition with special properties based on a height constraint. We exhibit new restricted sets of Dyck paths counted by the Motzkin numbers, and we give a constructive bijection between these objects and Motzkin paths. As a byproduct, we provide a generating function for the number of Motzkin paths of height k with a flat (resp. with no flats) at the maximal height.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 341, Issue 6, June 2018, Pages 1620-1628
نویسندگان
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