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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/51471


    Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/51471


    Title: 關於邊連通數和邊度數的問題
    Some topics on edge connectivity and edge degrees
    Authors: 陳玫芳
    Contributors: 張宜武
    陳玫芳
    Keywords: 局部連通圖
    邊切集
    限制邊連通數
    Locally Connected Graphs
    Edge Cuts
    Restricted Edge Connectivity
    Date: 2010
    Issue Date: 2011-10-05 16:18:31 (UTC+8)
    Abstract: 在這篇論文中，我們根據局部連通和局部補連通性質將圖分類，計算在 Harary 圖裡大小為 2k - 1 和 2k 邊切集的個數，和證明當圖形有最大的最小邊度數和最小點度數差，一些關於度數為 1 的點個數性質。
    In this thesis, we classify some graphs into locally coconnected graphs or locally connected graphs, compute the number of its edge cuts of size 2k - 1 and 2k in a Harary graph, and show some properties of the number of vertices of degree 1 when the graph has the maximum difference of minimum edge degree and minimum vertex degree.
    Reference: [1] A.-H. Esfahanian and S. L. Hakimi, On computing a conditional edge-connectivity of a graph, Information Processing Letters, 27 (1988), pp. 195-199.
    [2] O. Jianping and F. Zhang, Super restricted edge connectivity of regular graphs, Graphs and Combinatorics, 21 (2005), pp. 459-467.
    [3] E. G. Kohler, Graphs Without Asteroidal Triples, PhD thesis, Technischen Universitat Berlin, 1999.
    [4] D. B. West, Introduction to Graph Theory, Prentice Hall, 2001.
    [5] J.-M. Xu and K.-L. Xu, On restricted edge-connectivity of graph, Discrete Mathematics, 243 (2002), pp. 291-298.
    Description: 碩士
    國立政治大學
    應用數學研究所
    98751004
    99
    Source URI: http://thesis.lib.nccu.edu.tw/record/#G0098751004
    Data Type: thesis
    Appears in Collections:[應用數學系] 學位論文

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