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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/49463
    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/49463


    Title: 最大,二分,外平面圖之容忍表示法
    The Tolerance Representations of Maximal Bipartite Outerplanar Graphs
    Authors: 賴昱儒
    Contributors: 張宜武
    賴昱儒
    Keywords: 最大外平面圖
    二分圖
    容忍表示法
    Tolerance Graphs
    Maximal Outerplanar Graphs
    Bipartite
    Date: 2009
    Issue Date: 2010-12-08 11:54:45 (UTC+8)
    Abstract: 在這篇論文中,我們針對2-連通的最大外平面圖而且是二分圖的圖形,討論
    其容忍表示法,並找到它的所有禁止子圖H1、H2、H3、H4。
    In this thesis, we prove a 2-connected graph G which is maximal outerplanar and bipartite is a tolerance graph if and only if there is no induced subgraphs H1; H2; H3 and H4 of G.
    Reference: [1] M. Golumbic and C. Monma, A generalization of interval graphs with tolerances, Congressus Numerantium, 35 (1982), pp. 321-331.
    [2] M. Golumbic, D. Rotem, and J. Urrutia, Comparability graphs and intersection graphs, Discrete Math., 43 (1983), pp. 37-46.
    [3] M. Golumbic and A. Trenk, Tolerance graphs, Cambridge Univ Pr, 2004.
    [4] R. Hayward and R. Shamir, A note on tolerance graph recognition, Discrete Applied Mathematics, 143 (2004), pp. 307-311.
    Description: 碩士
    國立政治大學
    應用數學研究所
    96751006
    98
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0967510061
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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