| Tartalmi leírás: |
The Bipartite Contraction problem is to decide, given a graph G and a parameter k, whether we can obtain a bipartite graph from G by at most k edge contractions. The fixed-parameter tractability of the problem was shown by Heggernes et al. [13], with an algorithm whose running time has double-exponential dependence on k. We present a new randomized FPT algorithm for the problem, which is both conceptually simpler and achieves an improved 2O(k2)nm running time, i.e., avoiding the double-exponential dependence on k. The algorithm can be derandomized using standard techniques. © 2013 Elsevier B.V.
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