Exact algorithm for the maximum induced planar subgraph problem

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Abstract

We prove that in an n-vertex graph, an induced planar subgraph of maximum size can be found in time O(1.7347n ). This is the first algorithm breaking the trivial 2 n nO(1) bound of the brute-force search algorithm for the Maximum Induced Planar Subgraph problem. © 2011 Springer-Verlag Berlin Heidelberg.

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Fomin, F. V., Todinca, I., & Villanger, Y. (2011). Exact algorithm for the maximum induced planar subgraph problem. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6942 LNCS, pp. 287–298). https://doi.org/10.1007/978-3-642-23719-5_25

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