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Title:	A Bijective Proof of Complete Binary Trees
Authors:	施耀振
Contributors:	李陽明施耀振
Date:	1990 1989
Issue Date:	2016-05-03 14:17:31 (UTC+8)
Abstract:	在此，將介紹一個從Tnc 映至Sn的bijection，其中Tnc = {tc: tc 是一有2n-1 個點的complete binary tree ，其中有一點被圈選} & Sn={x: x是一有n個黑點，n-1個白點的string }。並藉此求得k1＊k 2＊... ＊kn在” ＊”不可結合( nonassociative )之下的二元運算( binary operation )方法數。這個解與Catalan number 一致。
Reference:	[1] J. A. Bondy & U. S. R. Murty, Graph Theory With Application. London. Macmillan, 1976. [2] Gary Chartrant & Linda Lesniak. Graphs & Digraphs. 2nd ed ., Wadsworth Inc., Belmont. 1986. [3] Marshall Hall. JR., Combinatorial Theory, 2nd ed., New York, Wiley. 1986. [4] Richard Johnsonbaugh, Discrete Mathematics, New York,Macmillan; London. Collier Macmillan. 1984. [5] I. Niven. Formal Power Series, Amer. Math. Monthly 76 (1969), pp.871-889. [6] Dennis Staton & Dennis White, Constructive Combinatorics. New York. Springer-Verlag, 1986, p.60. [7] Alan Tucker. Applied Combinatorics, New York, Wiley, 1980. [8] "Introduction to the Theory of Combinatorial Species", 由中央研究院數學研究所葉永南先生提供.
Description:	碩士國立政治大學應用數學系
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002005450
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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