English  |  正體中文  |  简体中文  |  Post-Print筆數 : 11 |  Items with full text/Total items : 89683/119504 (75%)
Visitors : 23941266      Online Users : 116
RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.
Scope Tips:
  • please add "double quotation mark" for query phrases to get precise results
  • please goto advance search for comprehansive author search
  • Adv. Search
    HomeLoginUploadHelpAboutAdminister Goto mobile version
    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: http://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
    Lin, Zi Xuan
    Keywords: 完全二分圖
    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
    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

    Files in This Item:

    File SizeFormat
    013101.pdf948KbAdobe PDF267View/Open

    All items in 政大典藏 are protected by copyright, with all rights reserved.

    社群 sharing

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback