8 search results - page 1 / 2 » On the Small Cycle Transversal of Planar Graphs |
WG
2010
Springer
13 years 2 months ago
2010
Springer
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...
AAIM
2010
Springer
13 years 9 months ago
2010
Springer
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...
DAM
2008
13 years 4 months ago
2008
For each constant k, we present a linear time algorithm that, given a planar graph G, either finds a minimum odd cycle vertex transversal in G or guarantees that there is no transv...
STOC
2010
ACM
14 years 1 months ago
2010
ACM
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...
SODA
2012
ACM
11 years 7 months ago
2012
ACM
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...