Small feedback vertex sets inplanar digraphs

被引:0
|
作者
Esperet, Louis [1 ]
Lemoine, Laetitia
Maffray, Frederic
机构
[1] CNRS, G SCOP, Grenoble, France
来源
ELECTRONIC JOURNAL OF COMBINATORICS | 2017年 / 24卷 / 02期
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a directed planar graph on nn vertices, with no directed cycle of length less than g >= 4. We prove that G contains a set X of vertices such that G-X has no directed cycle, and |X|<= 5n-5/9 if g = 4, |X| <= 2n-5/4 if g = 5, and |X| <= 2n-6/g if g >= 6. This improves recent results of Golowich and Rolnick.
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页数:5
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