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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/89754

Title:	A SURVEY ON YOUNG TABLEAUX
Authors:	李朱慧 LI, ZHU-HUI
Contributors:	李陽明 LI, YANG MING 李朱慧 LI, ZHU-HUI
Keywords:	演算法配對
Date:	1992 1991
Issue Date:	2016-05-02 17:07:09 (UTC+8)
Abstract:	Young tableaux是在1900年代由Alfred Young提出。Young lattices的一些特性如ranked，存在最小元素，呈橄欖形，其完全配對的存在均已證出，對於配對問題的證明由於是用代數方法證出，其證明非常複雜因此我們希望能用離散的觀點加以探討。以期能發現簡易的證法。在本論文中將前人的一些結果加以整理，並以程式產生Young lattices觀察其特性。文中共提出二個演算法，一個用來產生Young lattices。另一個為產生Young Lattices配對的演算法。
Reference:	Bibliography [FZ82] D. Franzblau and D. Zeilberger. A bijective proof of the hook-length formular. Journal Algorithms, 3::317-:342, 1982. [Knu73] D. E. Knuth. Sorting and Searching, volume :3 of The A rt of Computer Programming. Addison- Wesley Mass., 1973. [NW78] A. Nijenhuis and H. Wilf. Combinatorial Algorithms. Academic Press, New York, second edition, 1978. [Rut68] D. E. Rutherford. Substitutional Analysis. New York: Hafner, 1968. [SavS9] C. Savage. Gray code sequences of partitions. Journal Algorithms, 10:,577- 595, 1989. [Sch61] C. Schensted. Long increasing and decreasing subsequences. Canadian Journal Math ., 13:179-191,1961. [Sta80] Richard . P. Stanley. Unimodal sequences arising from Lie algebras. Dekker, New York, 1980. [Sta81] Richard P. Stanley. Some aspects of groups acting on finite poset. Journal of Combinatorial theory, pages 132-161, 1981. [SvV86] Dennis Stanton and Dellnis White. Constuctive Combinatorics. SpriogerVerlag New York Inc., 1986.
Description:	碩士國立政治大學應用數學系
Source URI:	http://thesis.lib.nccu.edu.tw/record/#B2002004730
Data Type:	thesis
Appears in Collections:	[應用數學系] 學位論文

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