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Title: | Gap in (l,m)-uniform mixed hypergraph |
Authors: | 楊瑞章 |
Contributors: | 張宜武 楊瑞章 |
Keywords: | gap mixed hypergraph (l,m)-uniform spectrum |
Date: | 2002 |
Issue Date: | 2009-09-17 13:45:26 (UTC+8) |
Abstract: | (l,m)-uniform混和超級圖的色譜一定是是連續的, 利用一個技巧讓所有l大於二的(l,m)-uniform混和超級圖都存在一組C-edges 和 D-edges, 使得光譜不連續.最後提供一個演算法, 讓所有l和m 都大於二的(l,m)-uniform混和超級圖, 也存在一組 C-edges 和 D-edges, 使得光譜不連續. 這樣我們就已經討論完所有(l,m)-uniform混和超級圖( l , m 都要大於等於 2), 其光譜是否存在著有不連續的可能. In this thesis, we study all existences of gap in every kind of (l,m)-uniform mixed hypergraph, where n > 1 and m > 1. We have to divide the topic into three parts: (2,m)-uniform mixed hypergraph where m > 1, (l,2)-uniform mixed hypergraph where l > 2, and (l,m)-uniform mixed hypergraph where l > 2 and m > 2. |
Reference: | 1 T. Etzion and A. Hartman, Towards a large set of Steiner auaadruple systems, SIAM J. Discrete Math.4.(1991),182-195. 2 T. Jiang, D. Mubayi, Zs. Tuza, V. Voloshin, D. West. The Chromatic Spectrum of Mixed Hypergraphs..Graphs and Combinatorics, 18(2002), 309-318. 3 H. Lefmann, V. Rodl, and R. Thomas, Monochromatic vs. multicolored paths, Graphs Combin.8.(1992), 323-332. 4 D. Lozovanu and V. Voloshin, Integer programming and mixed hypergraphs,(in preparation). 5 L. Milazzo, On upper chromatic number for SQS(10) and SQS(16), Le MathematicheL(Catania, 1995), 179-193. 6 L. Milazzo, The monochromatic block number, Discrete Math. 165-166 (1997), 487-496 7 L. Milazzo and Zs. Tuza, Upper chromatic number of Steiner triple and quadruple systems, Discrete Math. 174(1997),247-259. 8 L. Milazzo and Zs. Tuza, Strict colorings for classes of Steiner triple systems, Discrete Math.182(1998),233-243. 9 Zs. Tuza and V. Voloshin, Uncolorable mixed hypergraphs, Distrete Applied Math.,(to appear) 10 V.Vplosin, Mixed hypergraphs as models for real problems(in preparation). 11 V. Voloshin, On the upper chromatic number of a hypergraph, Australasian J. Comb. 11(1995), 25-45. |
Description: | 碩士 國立政治大學 應用數學研究所 90751009 91 |
Source URI: | http://thesis.lib.nccu.edu.tw/record/#G0090751009 |
Data Type: | thesis |
Appears in Collections: | [應用數學系] 學位論文
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