Every Planar Graph with Maximum Degree 7 Is of Class 1

Every Planar Graph with Maximum Degree 7 Is of Class 1
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DOI:
10.1007/s003730070009
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发表时间:
2000-12
影响因子:
0.7
通讯作者:
Limin Zhang
Limin Zhang
中科院分区:
数学4区
文献类型:
--
作者:
Limin Zhang

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维津(V.G. Vizing)在1968年推测,每一个最大度为6或7的平面图都是1类。本文证明,对于最大次为7的平面图,Vizing猜想是成立的。
V.G. Vizing conjectured in 1968 that every planar graph with maximum degree 6 or 7 is of class 1. This paper shows that, for planar graphs with maximum degree 7, Vizing's conjecture is true.