Approximability and parameterized complexity of multicover by c-intervals

Approximability and parameterized complexity of multicover by c-intervals

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Article ID: iaor201527219
Volume: 115
Issue: 10
Start Page Number: 744
End Page Number: 749
Publication Date: Oct 2015
Journal: Information Processing Letters
Authors: , , , , ,
Keywords: approximation, covering problems, interval arithmetic
Abstract:

A c‐interval is the disjoint union of c intervals over N equ1. The cInterval Multicover problem is the special case of Set Multicover where all sets available for covering are c‐intervals. We strengthen known APX‐hardness results for cInterval Multicover, show W[1]‐hardness when parameterized by the solution size, and present fixed‐parameter algorithms for alternative parameterizations.

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