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On the Complexity of the Upper r-Tolerant Edge Cover Problem

Abstract : We consider the problem of computing edge covers that are tolerant to a certain number of edge deletions. We call the problem of finding a minimum such cover r-Tolerant Edge Cover (r-EC) and the problem of finding a maximum minimal such cover Upper r-EC. We present several NP-hardness and inapproximability results for Upper r-EC and for some of its special cases.
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https://hal.inria.fr/hal-03165379
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Submitted on : Wednesday, March 10, 2021 - 4:05:05 PM
Last modification on : Thursday, March 11, 2021 - 3:35:31 AM

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Ararat Harutyunyan, Mehdi Ghadikolaei, Nikolaos Melissinos, Jérôme Monnot, Aris Pagourtzis. On the Complexity of the Upper r-Tolerant Edge Cover Problem. 3rd International Conference on Topics in Theoretical Computer Science (TTCS), Jul 2020, Tehran, Iran. pp.32-47, ⟨10.1007/978-3-030-57852-7_3⟩. ⟨hal-03165379⟩

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