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    題名: 線星圖的特徵
    Characterization of Linear Substar Graphs
    作者: 陳彥賓
    貢獻者: 張宜武
    陳彥賓
    關鍵詞: 交集表示
    毛蟲
    星
    日期: 2000
    上傳時間: 2016-04-18 16:31:46 (UTC+8)
    摘要: 在這篇論文中，我們探討圖的交集表示之參數。在一圖形之交集表示中，每一點都能從一毛蟲（caterpillar）中分配到至多t個星（star），我們稱此表示為t-線星表示。我們稱此最小的t使得此圖形有一t-線星表示為此圖形的線星數。而線星數為1的圖形，則稱為線星圖。在這篇論文中，我們找出線星圖所不能包含的子圖，即線星圖為1的特徵。
    In this thesis, we study intersection parameters for graphs. We introduce linear star number of a graph G, which is the minimum t such that G is the intersection graph of unions of t stars of a host tree that is a caterpillar. The graphs with linear star number 1 are called linear graphs. This thesis is to characterize graphs which are linear substar graphs by providing forbidden induced subgraphs.
    參考文獻: [1] S. Benzer, On the topology of genetic fine structure, Pro. Nata. Acad. Sci. U.S.A. 45 (1959), 1607-1620.
    [2] J.R. Blair and B.W. Peyton, An introduction to chordal graphs and clique trees, Tech. report, Oak Ridge National Laboratory, 1992.
    [3] J.Ch. Boland and C.B. Lekkerkerker, Representation of finite graph by a set of intervals on the real line, Fund. Math. 51 (1962), 45-64.
    [4] P.A. Buneman, A characterization of rigid circuit graphs, Discrete Math. 9 (1974), 205-212.
    [5] Y.W. Chang, Graph representations using stars, trees, intervals and boxes, Ph. D. Thesis, University of Illinois at Urbana-Champaign (1994).
    [6] Y.W. Chang, M.S. Jacobson, C.L. Monma and D.B. West, Subtree and substar intersection numbers, Discrete Appl. Math. 44 (1993), 205-220.
    [7] F. Gavn`l, The intersection graphs of subtrees in tree are exactly the chordal graphs, J. Comb. Theory B 16 (1959), 47-56.
    [8] J.R. Walter, Representations of chordal graphs as subtrees of a tree, J. Graph Theory 2 (1978), 265-267.
    [9] D.B. West, Parameters in partial orders and graphs:Packing, coving and representation , Graphs and Order 2 (1985), 267-350.
    [10] D.B. West, Introduction to graph theory, 1996, 293-297.
    描述: 碩士
    國立政治大學
    應用數學系
    87751010
    資料來源: http://thesis.lib.nccu.edu.tw/record/#A2002001739
    資料類型: thesis
    顯示於類別:[應用數學系] 學位論文

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