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On the Minimum Eccentricity Isometric Cycle Problem

Abstract : In this paper we investigate the Minimum Eccentricity Isometric Cycle (MEIC) problem. Given a graph, this problem consists in finding an isometric cycle with smallest possible eccentricity k. We show that this problem is NP-Hard and we propose a 3-approximation algorithm running in O(n(m + kn)) time.
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Submitted on : Tuesday, January 7, 2020 - 3:06:39 PM
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Etienne Birmele, Fabien de Montgolfier, Léo Planche. On the Minimum Eccentricity Isometric Cycle Problem. Electronic Notes in Theoretical Computer Science, Elsevier, 2019, 346, pp.159-169. ⟨10.1016/j.entcs.2019.08.015⟩. ⟨hal-02430756⟩

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