Circular Chromatic Number of Planar Graphs of Large Odd Girth
نویسنده
چکیده
It was conjectured by Jaeger that 4k-edge connected graphs admit a (2k + 1, k)-flow. The restriction of this conjecture to planar graphs is equivalent to the statement that planar graphs of girth at least 4k have circular chromatic number at most 2 + 1 k . Even this restricted version of Jaeger’s conjecture is largely open. The k = 1 case is the well-known Grötzsch 3-colour theorem. This paper proves that for k ≥ 2, planar graphs of odd girth at least 8k− 3 have circular chromatic number at most 2 + 1 k .
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عنوان ژورنال:
- Electr. J. Comb.
دوره 8 شماره
صفحات -
تاریخ انتشار 2001