, 2016 For a graph (Formula presented.), a Roman dominating function (Formula presented.) has the property that every vertex (Formula presented.) with (Formula presented.) has a neighbor (Formula presented.) with (Formula presented.).
Haynes, Teresa W. +4 more
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Roman Domination Cover Rubbling [PDF]
, 2019 In this thesis, we introduce Roman domination cover rubbling as an extension of domination cover rubbling. We define a parameter on a graph $G$ called the \textit{Roman domination cover rubbling number}, denoted $\rho_{R}(G)$, as the smallest number of ...
Carney, Nicholas
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Warm Soil, Westerly Wind, and Wet Feet: Feeling and Measuring Ecological Time in the Roman World. [PDF]
Geohealth, 2023 Tally-Schumacher KJ.
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Bounds on the Hop Double Roman Domination Number of Graphs.
In this paper, we establish sharp upper and lower bounds for this parameter. These results provide the first systematic study of hop double Roman domination and lay the foundation for future investigations into its structural and computational aspects.
Mohammad Marvic +6 more
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Emerging Glass Industry Patterns in Late Antiquity Balkans and Beyond: New Analytical Findings on Foy 3.2 and Foy 2.1 Glass Types. [PDF]
Materials (Basel), 2022 Balvanović RV, Šmit Ž.
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Trees with equal Roman {2}-domination number and independent Roman {2}-domination number
, 2019 A Roman {2}-dominating function (R{2}DF) on a graph G =(V, E) is a function f : V → {0, 1, 2} satisfying the condition that every vertex u for which f(u) = 0 is adjacent to either at least one vertex v with f(v) = 2 or two vertices v1, v2 with f(v1) = f ...
Zepeng Li +3 more
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Signed double Roman k-domination in digraphs
Let D be a finite simple digraph with vertex set V(D), and let k≥1 be an integer. A signed double Roman k-dominating function (SDRkDF) on a digraph D is a function f: V(D) → {-1,1,2,3} satisfying certain conditions.
Zverovich, Vadim, Volkmann, Lutz
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On the occasion of the centennial of the Nobel Prize in Physiology or Medicine, 1923: Nicolae C. Paulescu-between scientific creativity and political fanatism. [PDF]
Acta Diabetol, 2023 de Leiva-Hidalgo A, de Leiva-Pérez A.
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Triple-Knockout, Synuclein-Free Mice Display Compromised Lipid Pattern. [PDF]
Molecules, 2021 Guschina IA +4 more
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Roman game domination subdivision number of a graph [PDF]
, 2013 A {em Roman dominating function} on a graph $G = (V ,E)$ is a function $f : Vlongrightarrow {0, 1, 2}$ satisfying the condition that every vertex $v$ for which $f (v) = 0$ is adjacent to at least one vertex $u$ for which $f (u) = 2$. The {em weight} of a
Seyed Mahmoud Sheikholeslami +7 more
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