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We study the computational complexity of graph planarization via edge contraction. The problem Contract asks whether there exists a set S of at most k edges that when contracted produces a planar graph. We work with a more general problem called P-RestrictedContract in which S, in addition, is required to satisfy a fixed MSOL formula P(S,G). We give an FPT algorithm in time O(n2f(k)) which solves...
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