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Parameterized Dynamic Variants of Red-Blue Dominating Set

Abu-Khzam, Faisal; Bazgan, Cristina; Fernau, Henning (2020), Parameterized Dynamic Variants of Red-Blue Dominating Set, in Chatzigeorgiou, Alexander; Dondi, Riccardo; Herodotou, Herodotos, SOFSEM 2020: Theory and Practice of Computer Science, Springer, p. 236-247. 10.1007/978-3-030-38919-2_20

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Type
Communication / Conférence
Date
2020
Conference title
46th International Conference on Current Trends in Theory and Practice of Informatics
Conference date
2020-01
Conference city
Limassol
Conference country
Cyprus
Book title
SOFSEM 2020: Theory and Practice of Computer Science
Book author
Chatzigeorgiou, Alexander; Dondi, Riccardo; Herodotou, Herodotos
Publisher
Springer
ISBN
978-3-030-38918-5
Number of pages
723
Pages
236-247
Publication identifier
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Author(s)
Abu-Khzam, Faisal
Bazgan, Cristina
Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Fernau, Henning
Abstract (EN)
We introduce a parameterized dynamic version of the Red-Blue Dominating Set problem and its partial version. We prove the fixed-parameter tractability of the dynamic versions with respect to the (so called) edit-parameter while they remain W[2] -hard with respect to the increment-parameter. We provide a complete study of the complexity of the problem with respect to combinations of the various parameters.
Subjects / Keywords
Dynamic problems; Reoptimization; Parameterized complexity; Set cover; Hitting set