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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/58979


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/58979


    Title: 棋盤著色和完全二分圖之單色子圖
    The coloring of a checkerboard and the monochromatic subgraphs of a complete bipartite graph
    Authors: 林子軒
    Lin, Zi Xuan
    Contributors: 張宜武
    Chang, Yun Kuo
    林子軒
    Lin, Zi Xuan
    Keywords: 完全二分圖
    單色子圖
    Complete bipartite graph
    Monochromatic subgraph
    Date: 2012
    Issue Date: 2013-07-22 18:01:32 (UTC+8)
    Abstract: 在本篇論文中,藉由長方形棋盤著色探討完全二分圖 Km;n 由兩種顏色任意著邊,使得此兩色著邊之完全二分圖 Km;n 會包含單色子圖 K2;s 與 K3;s (s須大於或等於2),我們將討論參數 n 與 s 須滿足何種關係。
    In this paper, we study the two edge-coloring of Km;n such that Km;n contains a monochromatic subgraph K2;s or K3;s. We find the relation between n , s by investigating a two coloring of a checkerboard .
    Reference: [1] J. A. Bondy and U. S. R. Murty, Graph Theory with Application, MacMillan Press, London and Basingstoke, 1976.
    [2] R. L. Graham, B. L. Rothschild and J. H. Spencer, Ramsey Theory, John Wiley and Sons Press, New York, 1980.
    [3] V. Longani, Some Bipartite Ramsey Numbers,
    Southeast Asian Bulletin of Mathematics(2002)26: 583-592.
    [4] 張克民-Ramsey 理論; 數學傳播期刊, 數學傳播24卷4期, 35-39頁。
    [5] 李烔生-棋盤染色問題與二部Ramsey 數; 數學傳播21卷3期, 63-72頁。
    Description: 碩士
    國立政治大學
    應用數學研究所
    96751013
    101
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0967510131
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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