Some statistics in Dyck paths, non-crossing partitions, and 2-Motzkin paths

碩士 === 國立高雄大學 === 應用數學系碩士班 === 103 === In this study, we use two bijections: one is between non-crossing partitions and Dyck paths, and the other is between 2-Motzkin paths and Dyck paths. We obtain the generating function of statistics edes, odes, easc, and oasc in Dyck paths. Moreover, we derive t...

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Bibliographic Details
Main Authors: Pei-chi Wang, 王佩錡
Other Authors: Szu-en Cheng
Format: Others
Language:en_US
Published: 2015
Online Access:http://ndltd.ncl.edu.tw/handle/05274681290044074372