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| Title: | The Existence of (s,t)-Monochromatic-rectangles in a 2-colored Checkerboard |
| Authors: | 卓駿焰 |
| Contributors: | 張宜武 卓駿焰 |
| Keywords: | 完全二分圖 單色子圖 |
| Date: | 2016 |
| Abstract: | 本文藉由矩形棋盤著色探討完全二分圖K_{m,n}由兩種顏色任意塗邊，使得此兩色著邊之完全二分圖$K_{m,n}$會包含單色子圖K_{s,2}、K_{s,3}與K_{s,t} （s大於或等於 2），我們將討論參數n與s之間滿必須滿足何種關係。
本文也將介紹處理棋盤著色問題的一般方法與技巧，以及透過棋盤如何將棋盤問題轉化為圖論問題，並且將它推廣。 |
| Reference: | [1] Ronald L. Graham, Bruce L. Rothschild, and Joel H. Spencer. Ramsey theory. Wiley Series in Discrete Mathematics and Optimization. John Wiley & Sons, Inc., Hoboken, NJ, 2013.
[2] Douglas B. West. Introduction to graph theory. Prentice Hall, Inc., Upper Saddle River, NJ, 1996. [3] æç¯ç. æ£ç¤æè²åé¡èäºé¨ Ramsey æ¸. æ¸å¸, 21(3):63â72, 9 æ 1997. [4] æåè». The coloring of a checkerboard and the monochromatic subgraphs of a complete bipartite graph. åç«æ¿æ²»å¤§å¸æç¨æ¸å¸ç³»ç¢©å£«å¸ä½è«æ, 2013. |
| Description: | 碩士 國立政治大學 應用數學系 102751001 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0102751001 |
| Data Type: | thesis |
| Appears in Collections: | [應用數學系] 學位論文 |
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