Please use this identifier to cite or link to this item: https://ah.nccu.edu.tw/handle/140.119/36403


Title: The upper chromatic number and chromatic polynomials of some mixed hypergraphs
Authors: 林妤芬
Contributors: 張宜武
林妤芬
Keywords: sieve
chromatic polynomial
Date: 2004
Issue Date: 2009-09-18 18:29:14 (UTC+8)
Abstract: 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
Reference: [1] Vitaly I. Voloshin.Coloring Mixed Hypergraphs:Theory,Algorithms and Applications.
[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).
Description: 碩士
國立政治大學
應用數學研究所
92751002
93
Source URI: http://thesis.lib.nccu.edu.tw/record/#G0927510021
Data Type: thesis
Appears in Collections:[應用數學系] 學位論文

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