Planar Graphs of Maximum Degree Six without 7-cycles are Class One
نویسندگان
چکیده
It is conjectured by Vizing (1965) that every planar graphs graph G with maximum degree 6 ⩽ ∆ ⩽ 7 is class one. The case ∆ = 7 was confirmed independently by Sanders and Zhao (2001), and by Zhang (2000). In this paper, we prove that every planar graph G with ∆ = 6 and without 7-cycles is class one.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 19 شماره
صفحات -
تاریخ انتشار 2012