Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/120511


Title: Some Results on Path Pairs
Authors: 劉洪鈞
Contributors: 李陽明
劉洪鈞
Keywords: Path Pairs;Non - intersecting Paths
Date: 2002
Issue Date: 2018-10-11 11:50:48 (UTC+8)
Abstract: In this thesis, our goal is to use mathematical induction to give a direct proof to show that the number of b(n - m, k ; n, k - m) is m/(n+k-m) ,where b(n – m, k; n, k - m) denotes the number of non-intersecting paths that the upper path goes from (0, 0) to(n - m, k) while the lower path goes from (0, 0) to (n, k - m). Furthermore, we conclude two applications about b(n-m, k ; n, k-m), namely b(n, k) (see Definition 2.2) and PP(n, k) (see Definition 4.4). We also bring up some open problems concerning our topics.
Reference: References
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Description: 碩士
國立政治大學
應用數學系
90
Source URI: http://thesis.lib.nccu.edu.tw/record/#G91NCCV3412012
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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