Uniquely circular colourable and uniquely fractional colourable graphs of large girth

نویسندگان

  • Xuding Zhu
  • Shuyuan Lin
چکیده

Given any rational numbers r ≥ r′ > 2 and an integer g, we prove that there is a graph G of girth at least g, which is uniquely circular r-colourable and uniquely fractional r′-colourable. Moreover, the graph G has maximum degree bounded by a number which depends on r and r′ but does not depend on g.

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عنوان ژورنال:
  • Contributions to Discrete Mathematics

دوره 1  شماره 

صفحات  -

تاریخ انتشار 2006