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研究生: 林妤芬
論文名稱: The upper chromatic number and chromatic polynomials of some mixed hypergraphs
指導教授: 張宜武
學位類別: 碩士
Master
系所名稱: 理學院 - 應用數學系
Department of Mathematical Sciences
論文出版年: 2006
畢業學年度: 93
語文別: 英文
外文關鍵詞: sieve, chromatic polynomial
相關次數: 點閱:106下載:27
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  • 本文分為兩章. 第一章先介紹sieve-number(即s(H)) ,並將所有mixed hypergraph的最大著色數能用n-s(H)的圖形條件限制出來.再討論能用s(H)表示其最大著色數的圖形. 第二章主要是討論interval mixed hypergraph的著色方程式.


    Contents
    Abstract ...............................................1
    1 Introduction .........................................2
    2 The upper chromatic number represented by sieve ......6
    3 The chromatic polynomials of interval mixed hypergraph and some special mixed hypergraphs.........................13
    References ............................................19

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    [2] Vitaly I. Voloshin.The mixed hypergraphs.Comput.Sci.J.Moldova 1(1993),45-52.
    [3] Vitaly I. Voloshin,H.-J.Voss.Circular Mixed hypergraphs I : colorability and unique colorability. Preprint Inst. of Algebra MATH-AL-3-2000,Technische Universitat
    Dresden(2000).Proceeding of the Thirty-‾rst Southeastern International Conference on Combinatorics, Graph Theory and Computing(Boca Raton,FL,2000).
    Congr.Numer.144(2000),207-219.
    [4] Vitaly I. Voloshin,H.-J.Voss.Circular Mixed hypergraphs : lower and upper chromatic numbers. Manuscript.
    [5] Vitaly I. Voloshin. On the upper chromatic number of a hypergraph. Preprint of Moldova State University(1992).
    [6] E.Bulagru, Vitaly I. Voloshin. Mixed interval hypergraphs. Discrete Appl.Math.77(1)(1997),29-41.
    [7] E.Flocos.Elaboration of methods and algorithms for coloring of some special classes of mixed hypergraphs.Ph.D.Thesis,Moldova State University(1998)(in Romanian).
    [8] Vitaly I. Voloshin.Upper chromatic number of interval mixed hypergraphs. Scientific activity of Moldova State University for 1993-1994,Moldova State University(1995),56(in
    Romanian).

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