| Title: | 2-rainbow independent domination in complementary prisms |
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| Authors: | ID Božović, Dragana (Author)
ID Radić, Gordana (Author)
ID Tepeh, Aleksandra (Author) |
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| Files: |  s40314-025-03189-9.pdf (366,59 KB)
MD5: A2CAEA14B34529029F11313265737FA1
 https://link.springer.com/article/10.1007/s40314-025-03189-9#additional-information
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | FERI - Faculty of Electrical Engineering and Computer Science
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| Abstract: | A function f that assigns values from the set to each vertex of a graph G is called a 2-rainbow independent dominating function, if the vertices assigned the value 1 form an independent set, the vertices assigned the value 2 form another independent set, and every vertex to which 0 is assigned has at least one neighbor in each of the mentioned independent sets. The weight of this function is the total number of vertices assigned nonzero values. The 2-rainbow independent domination number of G, , is the minimum weight of such a function. Motivated by a real-life application, we study the 2-rainbow independent domination number of the complementary prism of a graph G, which is constructed by taking G and its complement , and then adding edges between corresponding vertices. We provide tight bounds for , and characterize graphs for which the lower bound, i.e. , is attained. The obtained results can, in practice, enable the prediction of the cost estimate for a given communication or surveillance network. |
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| Keywords: | graph theory, domination, 2-rainbow independent domination, complementary prism |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Submitted for review: | 30.08.2024 |
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| Article acceptance date: | 15.03.2025 |
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| Publication date: | 11.04.2025 |
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| Publisher: | Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) = Brazilian Society of Computational and Applied Mathematics (Springer) |
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| Year of publishing: | 2025 |
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| Number of pages: | 13 str. |
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| Numbering: | Vol. 44, [article no.] 235 |
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| PID: | 20.500.12556/DKUM-92600  |
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| UDC: | 519.17 |
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| ISSN on article: | 1807-0302 |
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| COBISS.SI-ID: | 233075971 |
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| DOI: | 10.1007/s40314-025-03189-9 |
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| Copyright: | © The Author(s) 2025 |
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| Publication date in DKUM: | 23.04.2025 |
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| Views: | 180 |
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| Downloads: | 13 |
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| Metadata: |    |
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| Categories: | Misc.
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