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Properties of double Roman domination on cardinal products of graphsKlobučar, Antoaneta, 1963- ; Klobučar, Ana, matematičarkaDvojna rimljanska dominacija je krepkejša verzija rimljanske dominacije, ki podvaja zaščito. Območja imajo zdaj 0, 1, 2 ali 3 legije. Vsako napadeno območje potrebuje 2 legiji za svojo obrambo, in to ... bodisi lastni bodisi izposojeni od 1 ali 2 sosednih območij, ki pa morata še vedno ohraniti najmanj 1 legijo zase. Minimalno število legij na vseh območjih skupaj je enako dvojnemu rimljanskemu dominacijskemu številu. V tem članku določimo zgornjo mejo in spodnjo mejo za dvojno rimljansko dominacijska števila kardinalnih produktov poljubnih dveh grafov. Prav tako določimo natančne vrednosti dvojno rimljanskih dominacijskih števil grafov ▫$P_2 \times G$▫ (za mnoge vrste grafa ▫$G$▫). Prav tako najdemo dvojno rimljansko dominacijsko število grafov ▫$P_2 \times P_n$▫, ▫$P_3 \times P_n$▫, ▫$P_4 \times P_n$▫, za grafa ▫$P_5 \times P_n$▫ in ▫$P_6 \times P_n$▫ pa predstavimo zgornji in spodnji meji. Nazadnje predstavimo študijo primera za določitev učinkovitosti dvojne zaščite. Primerjali bomo dvojno rimljansko dominacijo in rimljansko dominacijo na ta način, da bomo pognali simulacijo bitke.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 19, no. 2, 2020, str. 337-349)Type of material - article, component part ; adult, seriousPublish date - 2020Language - englishCOBISS.SI-ID - 44983555
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| Klobučar, Antoaneta, 1963- | ![]() |
| Klobučar, Ana, matematičarka | ![]() |
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