| Naslov: | 2-rainbow independent domination in complementary prisms |
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| Avtorji: | ID Božović, Dragana (Avtor)
ID Radić, Gordana (Avtor)
ID Tepeh, Aleksandra (Avtor) |
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| Datoteke: |  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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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FERI - Fakulteta za elektrotehniko, računalništvo in informatiko
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| Opis: | 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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| Ključne besede: | graph theory, domination, 2-rainbow independent domination, complementary prism |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Poslano v recenzijo: | 30.08.2024 |
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| Datum sprejetja članka: | 15.03.2025 |
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| Datum objave: | 11.04.2025 |
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| Založnik: | Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) = Brazilian Society of Computational and Applied Mathematics (Springer) |
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| Leto izida: | 2025 |
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| Št. strani: | 13 str. |
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| Številčenje: | Vol. 44, [article no.] 235 |
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| PID: | 20.500.12556/DKUM-92600  |
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| UDK: | 519.17 |
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| COBISS.SI-ID: | 233075971 |
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| DOI: | 10.1007/s40314-025-03189-9 |
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| ISSN pri članku: | 1807-0302 |
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| Avtorske pravice: | © The Author(s) 2025 |
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| Datum objave v DKUM: | 23.04.2025 |
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| Število ogledov: | 181 |
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| Število prenosov: | 13 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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