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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58741


    Title: Graphs of Large Girth with Prescribed Partial Circular Colourings.
    Authors: 潘志實;朱緒鼎
    Contributors: 淡江大學數學學系
    Keywords: Circular chromatic number;Girth;Uniquely colourable
    Date: 2005-03
    Issue Date: 2011-10-01 21:07:28 (UTC+8)
    Abstract: 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].
    Relation: Graphs and combinatorics 21, pp.119-129
    DOI: 10.1007/s00373-004-0596-6
    Appears in Collections:[數學學系暨研究所] 期刊論文

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