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» Kernelization for Cycle Transversal Problems
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AAIM
2010
Springer
144views Algorithms» more  AAIM 2010»
13 years 9 months ago
Kernelization for Cycle Transversal Problems
Abstract. We present new kernelization results for the s-cycle transversal problem for s > 3. In particular, we show a 6k2 kernel for 4-cycle transversal and a O(ks−1 ) kernel...
Ge Xia, Yong Zhang
WG
2010
Springer
13 years 3 months ago
On the Small Cycle Transversal of Planar Graphs
We consider the problem of finding a k-edge transversal set that covers all (simple) cycles of length at most s in a planar graph, where s ≥ 3 is a constant. This problem, refe...
Ge Xia, Yong Zhang
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
11 years 7 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
STOC
2010
ACM
274views Algorithms» more  STOC 2010»
14 years 2 months ago
Odd Cycle Packing
We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that th...
Ken-ichi Kawarabayashi and Bruce Reed
APPROX
2008
Springer
142views Algorithms» more  APPROX 2008»
13 years 7 months ago
Approximating Maximum Subgraphs without Short Cycles
We study approximation algorithms, integrality gaps, and hardness of approximation, of two problems related to cycles of "small" length k in a given graph. The instance f...
Guy Kortsarz, Michael Langberg, Zeev Nutov