Title: | Complexity of 2-rainbow total domination problem |
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Authors: | ID Kraner Šumenjak, Tadeja (Author) ID Tepeh, Aleksandra (Author) |
Files: | PDF - Presentation file, download (391,20 KB) MD5: 22D44F33D85AFC2D4B25C054EC78E837
URL - Source URL, visit https://link.springer.com/article/10.1007/s40840-024-01747-8
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Language: | English |
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Typology: | 1.01 - Original Scientific Article |
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Organization: | IMFM - Institute of Mathematics, Physics, and Mechanics
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Abstract: | In this paper,we extend the findings of recent studies on $k$-rainbow total domination by placing our focus on its computational complexity aspects. We show that the problem of determining whether a graph has a $2$-rainbow total dominating function of a given weight is NP-complete. This complexity result holds even when restricted to planar graphs. Along the way tight bounds for the $k$-rainbow total domination number of rooted product graphs are established. In addition, we obtain the closed formula for the $k$-rainbow total domination number of the corona product $G ∗ H$, provided that $H$ has enough vertices. |
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Keywords: | domination, rainbow domination, rooted product, NP-complete |
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Publication status: | Published |
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Publication version: | Version of Record |
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Publication date: | 01.09.2024 |
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Year of publishing: | 2024 |
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Number of pages: | 12 str. |
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Numbering: | Vol. 47, iss. 5, article no. 155 |
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PID: | 20.500.12556/DiRROS-20226 ![Link is opened in a new window New window](teme/dirros/img/NovoOkno.png) |
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UDC: | 519.17 |
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ISSN on article: | 0126-6705 |
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DOI: | 10.1007/s40840-024-01747-8 ![Link is opened in a new window New window](teme/dirros/img/NovoOkno.png) |
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COBISS.SI-ID: | 204512515 ![Link is opened in a new window New window](teme/dirros/img/NovoOkno.png) |
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Note: |
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Publication date in DiRROS: | 26.08.2024 |
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Views: | 5 |
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Downloads: | 0 |
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Metadata: | ![Export as DC-RDF DC-RDF](teme/dirros/img/icon_dc_rdf.gif) |
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