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https://ah.lib.nccu.edu.tw/handle/140.119/99611
題名: | The Existence of (s,t)-Monochromatic-rectangles in a 2-colored Checkerboard | 作者: | 卓駿焰 | 貢獻者: | 張宜武 卓駿焰 |
關鍵詞: | 完全二分圖 單色子圖 |
日期: | 2016 | 摘要: | 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。\r\n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。 | 參考文獻: | [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.\r\n[2] Douglas B. West. Introduction to graph theory. Prentice Hall, Inc., Upper Saddle River, NJ, 1996.\r\n[3] æç¯ç. æ£ç¤æè²åé¡èäºé¨ Ramsey æ¸. æ¸å¸, 21(3):63â72, 9 æ 1997.\r\n[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. | 描述: | 碩士 國立政治大學 應用數學系 102751001 |
資料來源: | http://thesis.lib.nccu.edu.tw/record/#G0102751001 | 資料類型: | thesis |
Appears in Collections: | 學位論文 |
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100101.pdf | 1.08 MB | Adobe PDF2 | View/Open |
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