| dc.contributor.advisor | 張宜武 | zh_TW |
| dc.contributor.author (Authors) | 賴昱儒 | zh_TW |
| dc.creator (作者) | 賴昱儒 | zh_TW |
| dc.date (日期) | 2009 | en_US |
| dc.date.accessioned | 8-Dec-2010 11:54:45 (UTC+8) | - |
| dc.date.available | 8-Dec-2010 11:54:45 (UTC+8) | - |
| dc.date.issued (上傳時間) | 8-Dec-2010 11:54:45 (UTC+8) | - |
| dc.identifier (Other Identifiers) | G0967510061 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/49463 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學研究所 | zh_TW |
| dc.description (描述) | 96751006 | zh_TW |
| dc.description (描述) | 98 | zh_TW |
| dc.description.abstract (摘要) | 在這篇論文中，我們針對2-連通的最大外平面圖而且是二分圖的圖形，討論其容忍表示法，並找到它的所有禁止子圖H1、H2、H3、H4。 | zh_TW |
| dc.description.abstract (摘要) | In this thesis, we prove a 2-connected graph G which is maximal outerplanar and bipartite is a tolerance graph if and only if there is no induced subgraphs H1; H2; H3 and H4 of G. | en_US |
| dc.description.tableofcontents | Abstract ii中文摘要iii1 Introduction 11.1 History of Tolerance Graphs 11.2 The Structure of Tolerance Graphs 32 Tolerance Graphs 42.1 Definition and Theorem of Tolerance Graph 42.2 Bounded Tolerance Representations for Trees and Bipartite Graphs 62.3 A Tolerance Representation of C4 72.4 A Tolerance Representation of Concatenation of Two 4-cycles 102.5 A Tolerance Representation of Concatenation of Three 4-cycles 123 Some Results on Maximal Outerplanar Graphs 203.1 A 2-connected Graph Which Is Maximal Outerplanar Graph and Bipartite Is Not Necessarily a Tolerance Graph 204 Open Problems and Further Directions of Studies 30References 31 | zh_TW |
| dc.format.extent | 1515087 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#G0967510061 | en_US |
| dc.subject (關鍵詞) | 最大外平面圖 | zh_TW |
| dc.subject (關鍵詞) | 二分圖 | zh_TW |
| dc.subject (關鍵詞) | 容忍表示法 | zh_TW |
| dc.subject (關鍵詞) | Tolerance Graphs | en_US |
| dc.subject (關鍵詞) | Maximal Outerplanar Graphs | en_US |
| dc.subject (關鍵詞) | Bipartite | en_US |
| dc.title (題名) | 最大，二分，外平面圖之容忍表示法 | zh_TW |
| dc.title (題名) | The Tolerance Representations of Maximal Bipartite Outerplanar Graphs | en_US |
| dc.type (資料類型) | thesis | en |
| dc.relation.reference (參考文獻) | [1] M. Golumbic and C. Monma, A generalization of interval graphs with tolerances, Congressus Numerantium, 35 (1982), pp. 321-331. | zh_TW |
| dc.relation.reference (參考文獻) | [2] M. Golumbic, D. Rotem, and J. Urrutia, Comparability graphs and intersection graphs, Discrete Math., 43 (1983), pp. 37-46. | zh_TW |
| dc.relation.reference (參考文獻) | [3] M. Golumbic and A. Trenk, Tolerance graphs, Cambridge Univ Pr, 2004. | zh_TW |
| dc.relation.reference (參考文獻) | [4] R. Hayward and R. Shamir, A note on tolerance graph recognition, Discrete Applied Mathematics, 143 (2004), pp. 307-311. | zh_TW |
