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On Fine-Grained Exact Computation in Regular Graphs

08/20/2020

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by Saeed Akhoondian Amiri, et al.

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We show that there is no subexponential time algorithm for computing the exact solution of the maximum independent set problem in d-regular graphs, for any constant d>2, unless ETH fails. We also discuss the extensions of our construction to other problems and other classes of graphs, including 5-regular planar graphs.

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