
Independent Set Reconfiguration Parameterized by Modular-Width
Belmonte, Rémy; Hanaka, Tesshu; Lampis, Michael; Ono, Hirotaka; Otachi, Yota (2019), Independent Set Reconfiguration Parameterized by Modular-Width, in Sau, Ignasi; Thilikos, Dimitrios M., Graph-Theoretic Concepts in Computer Science, Revised Papers, Springer International Publishing : Berlin Heidelberg, p. 285-297. 10.1007/978-3-030-30786-8_22
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Type
Communication / ConférenceDate
2019Conference title
45th International Workshop on Graph-Theoretic Concepts in Computer ScienceConference date
2019-06Conference city
Vall de NúriaConference country
SpainBook title
Graph-Theoretic Concepts in Computer Science, Revised PapersBook author
Sau, Ignasi; Thilikos, Dimitrios M.Publisher
Springer International Publishing
Published in
Berlin Heidelberg
ISBN
978-3-030-30785-1;978-3-030-30786-8
Number of pages
394Pages
285-297
Publication identifier
Metadata
Show full item recordAuthor(s)
Belmonte, Rémyautre
Hanaka, Tesshu
Lampis, Michael

Laboratoire d'analyse et modélisation de systèmes pour l'aide à la décision [LAMSADE]
Ono, Hirotaka
Department of Mathematical Informatics
Otachi, Yota
Kumamoto Gakuen University
Abstract (EN)
Independent Set Reconfiguration is one of the most well-studied problems in the setting of combinatorial reconfiguration. It is known that the problem is PSPACE-complete even for graphs of bounded bandwidth. This fact rules out the tractability of parameterizations by most well-studied structural parameters as most of them generalize bandwidth. In this paper, we study the parameterization by modular-width, which is not comparable with bandwidth. We show that the problem parameterized by modular-width is fixed-parameter tractable under all previously studied rules TAR, TJ, and TS. The result under TAR resolves an open problem posed by Bonsma [WG 2014, JGT 2016].Subjects / Keywords
Reconfiguration; Independent set; Modular-widthRelated items
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