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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.
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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.
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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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