教師資料查詢 | 類別: 期刊論文 | 教師: 潘志實 Zhishi Pan (瀏覽個人網頁)

標題:Graphs of Large Girth with Prescribed Partial Circular Colourings.
學年
學期
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; 朱緒鼎
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, pp.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
語言英文
ISSN
期刊性質國內
收錄於
產學合作
通訊作者
審稿制度
國別中華民國
公開徵稿
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