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Title:Complexity of the game connected domination problem
Authors:ID Iršič Chenoweth, Vesna (Author)
Files:.pdf PDF - Presentation file, download (2,00 MB)
MD5: 0373E69595C391F11AD370DCAA9742F3
 
URL URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0304397525004979
 
Language:English
Typology:1.01 - Original Scientific Article
Organization:Logo IMFM - Institute of Mathematics, Physics, and Mechanics
Abstract:The connected domination game is a variant of the domination game where the played vertices must form a connected subgraph at all stages of the game. In this paper we prove that deciding whether the game connected domination number is smaller than a given integer is PSPACE-complete using log-space reductions for both Dominator- and Staller-start connected domination game.
Keywords:connected domination game, complexity, PSPACE-complete
Publication status:Published
Publication version:Version of Record
Publication date:01.12.2025
Year of publishing:2025
Number of pages:11 str.
Numbering:Vol. 1057, article no. 115559
PID:20.500.12556/DiRROS-23810 New window
UDC:519.17
ISSN on article:0304-3975
DOI:10.1016/j.tcs.2025.115559 New window
COBISS.SI-ID:251830531 New window
Note:
Publication date in DiRROS:06.10.2025
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Downloads:95
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Record is a part of a journal

Title:Theoretical computer science
Shortened title:Theor. comp. sci.
Publisher:Elsevier
ISSN:0304-3975
COBISS.SI-ID:26525952 New window

Document is financed by a project

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:Z1-50003
Name:Igra policajev in roparja na grafih in geodetskih prostorih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:P1-0297
Name:Teorija grafov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0218
Name:Prepletanje geometrije, topologije in algebre v strukturni in topološki teoriji grafov

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0285
Name:Metrični problemi v grafih in hipergrafih

Funder:ARIS - Slovenian Research and Innovation Agency
Project number:N1-0355
Name:Prirejanja, transverzale in hipergrafi

Funder:EC - European Commission
Project number:101071836
Name:KARST: Predicting flow and transport in complex Karst systems
Acronym:KARST

Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

Language:Slovenian
Keywords:povezana dominacijska igra, zahtevnost, PSPACE-polno


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