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| 研究生： |
楊瑞章 |
|---|---|
| 論文名稱： |
Gap in (l,m)-uniform mixed hypergraph |
| 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： | 2003 |
| 畢業學年度： | 91 |
| 語文別： | 中文 |
| 論文頁數： | 38 |
| 外文關鍵詞： | (l,m)-uniform |
| 相關次數： | 點閱：186 下載：15 |
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(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.
1 Introduction..............................................1
2 Coloring of a specific mixed hypergraph...................6
3 The situation of gap in special case.....................10
4 Algorithm of gap in $(l,m)$-uniform mixed hypergraph.....19
5 Appendix 1...............................................31
6 Appendix 2...............................................33
References.................................................35
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