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摘 要: In this paper, we provide a bijection between the set of underdiagonallattice paths of length n and the set of (2, 2)-Motzkin paths of length n. Besides, wegeneralize the bijection of Shapiro and Wang (Shapiro L W, Wang C J. A bijectionbetween 3-Motzkin paths and Schroder paths with no peak at odd height. J. IntegerSeq., 2009, 12: Article 09.3.2.) to a bijection between k-Motzkin paths and (k ? 2)-Schroder paths with no horizontal step at even height. It is interesting that thesecond bijection is a generalization of the well-known bijection between Dyck pathsand 2-Motzkin paths.
关键词:    underdiagonal  lattice  path,  (2,  2)-Motzkin  path,  k-Motzkin  path,  (k  ?  2)-Schroder  path
作 者 : Chen Zhong-jin
英文名 :
刊 名: 《数学研究通讯》
年,卷(期) : 2017 年 , 第 2 期
在线出版日期 :
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