Three-coloring Klein bottle graphs of girth five
نویسندگان
چکیده
We prove that every graph of girth at least five which admits an embedding in the Klein bottle is 3-colorable. This solves a problem raised by Woodburn, and complements a result of Thomassen who proved the same for projective planar and toroidal graphs. 15 July 1998, Revised 26 April 2004. To appear in J. Combin. Theory Ser. B. 1 Partially supported by NSF under Grant No. DMS-9623031 and by NSA under Grant No. MDA90498-1-0517. 2 Partially supported by NSA under Grant No. MDA904-98-1-0517.
منابع مشابه
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عنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 92 شماره
صفحات -
تاریخ انتشار 2004