國立高雄大學應用數學系

　　　　　　　　　　103學年度第1學期碩士學位考試口試時間表（二）

學生姓名：王佩錡 (M1004104)

口試時間：104年1月5日（星期一）15：00~15：50

口試時點：應用數學系互動式教學室452室

論文題目：Some statistics in Dyck paths, non-crossing partitions, and 2-  Motzkin paths

摘　　要：

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 the enumerating polynomials of the statistics emaj, omaj, ecomaj, and ocomaj in Dyck paths. The corresponding results for non-crossing partitions, and 2-Motzkin paths are also discussed.