期刊論文
| 學年 | 93 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2005-03-01 |
| 作品名稱 | Graphs of Large Girth with Prescribed Partial Circular Colourings. |
| 作品名稱（其他語言） | |
| 著者 | 潘志實 |
| 單位 | 淡江大學數學學系 |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Graphs and combinatorics 21, p.119-129 |
| 摘要 | This paper completes the constructive proof of the following result: Suppose p/q≥2 is a rational number, A is a finite set and f1,f2,···,fn are mappings from A to {0,1,···,p−1}. Then for any integer g, there is a graph G=(V,E) of girth at least g with https://static-content.springer.com/image/art%3A10.1007%2Fs00373-004-0596-6/MediaObjects/s00373-004-0596-6flb1.gif such that G has exactly n (p,q)-colourings (up to equivalence) g1,g2,···,gn, and each gi is an extension of fi. A probabilistic proof of this result was given in [8]. A constructive proof of the case p/q≥3 was given in [7]. |
| 關鍵字 | Circular chromatic number;Girth;Uniquely colourable |
| 語言 | en |
| ISSN | 1435-5914 |
| 期刊性質 | 國內 |
| 收錄於 | |
| 產學合作 | |
| 通訊作者 | |
| 審稿制度 | 否 |
| 國別 | TWN |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58741 ) |