The undirected feedback vertex set problem has a poly(k) kernel

被引：0
|
作者：
Burrage, Kevin [1 ]
Estivill-Castro, Vladimir
Fellows, Michael
Langston, Michael
Mac, Shev
Rosamond, Frances
机构：
[1] Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia
[2] Griffith Univ, Brisbane, Qld 4111, Australia
[3] Univ Newcastle, Sch EE & CS, Newcastle, NSW 2308, Australia
[4] Univ Tennessee, Dept Comp Sci, Knoxville, TN 37996 USA
[5] Oak Ridge Natl Lab, Div Math & Comp Sci, Oak Ridge, TN 37831 USA
[6] Retreat Arts & Sci, Newcastle, NSW, Australia
来源：
PARAMETERIZED AND EXACT COMPUTATION, PROCEEDINGS | 2006年 / 4169卷
关键词：
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Resolving a noted open problem, we show that the UNDIRECTED FEEDBACK VERTEX SET problem, parameterized by the size of the solution set of vertices, is in the parameterized complexity class Poly(k), that is, polynomial-time pre-processing is sufficient to reduce an initial problem instance (G, k) to a decision-equivalent simplified instance (G', k') where k' <= k, and the number of vertices of G' is bounded by a polynomial function of k. Our main result shows an O(k(11)) kernelization bound.
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页码：192 / 202
页数：11
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