English  |  正體中文  |  简体中文  |  Post-Print筆數 : 27 |  Items with full text/Total items : 109948/140897 (78%)
Visitors : 46072468      Online Users : 726
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
    Home ‧ Login ‧ Upload ‧ Help ‧ About ‧ Administer 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: 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

    Files in This Item:

    File SizeFormat
    013101.pdf948KbAdobe PDF2450View/Open


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


    社群 sharing

    著作權政策宣告 Copyright Announcement
    1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
    The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

    2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
    NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.
    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library IR team Copyright ©   - Feedback