Eiben, E, Ganian, R, Kanj, I et al. (2 more authors) (2022) Finding a Cluster in Incomplete Data. In: Chechik, S, Navarro, G, Rotenberg, E and Herman, G, (eds.) Proceedings of 30th Annual European Symposium on Algorithms (ESA 2022). 30th Annual European Symposium on Algorithms (ESA 2022), 05-07 Sep 2022, Postdam, Germany. Leibniz International Proceedings in Informatics (LIPIcs), 244 . Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik , 47:1-47:14. ISBN 978-3-95977-247-1
Abstract
We study two variants of the fundamental problem of finding a cluster in incomplete data. In the problems under consideration, we are given a multiset of incomplete d-dimensional vectors over the binary domain and integers k and r, and the goal is to complete the missing vector entries so that the multiset of complete vectors either contains (i) a cluster of k vectors of radius at most r, or (ii) a cluster of k vectors of diameter at most r. We give tight characterizations of the parameterized complexity of the problems under consideration with respect to the parameters k, r, and a third parameter that captures the missing vector entries.
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Copyright, Publisher and Additional Information: | © Eduard Eiben, Robert Ganian, Iyad Kanj, Sebastian Ordyniak, and Stefan Szeider. This is an open access conference paper under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. | ||||
Keywords: | Parameterized complexity, incomplete data, clustering | ||||
Dates: |
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Institution: | The University of Leeds | ||||
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Computing (Leeds) | ||||
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Depositing User: | Symplectic Publications | ||||
Date Deposited: | 21 Jul 2022 13:43 | ||||
Last Modified: | 07 Aug 2023 09:28 | ||||
Status: | Published | ||||
Publisher: | Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik | ||||
Series Name: | Leibniz International Proceedings in Informatics (LIPIcs) | ||||
Identification Number: | https://doi.org/10.4230/LIPIcs.ESA.2022.47 |