Hamilton paths in toroidal graphs

نویسندگان

  • Robin Thomas
  • Xingxing Yu
  • Wenan Zang
چکیده

Tutte has shown that every 4-connected planar graph contains a Hamilton cycle. Grünbaum and Nash-Williams independently conjectured that the same is true for toroidal graphs. In this paper, we prove that every 4-connected toroidal graph contains a Hamilton path. Partially supported by NSF grant DMS-9970514 Partially supported by NSF grants DMS-9970527 and DMS-0245530 Partially supported by RGC grant HKU7109/01P

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عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 94  شماره 

صفحات  -

تاریخ انتشار 2005