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| 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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