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Signed double Roman domination in graphs
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Hossein Abdollahzadeh Ahangar +2 more
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Human participants with early‐ or chronic‐stage tendinopathy and healthy controls are investigated using ultrasound Doppler, 3T and 7T MRI, and tendon biopsies. Tendon swelling and hyperperfusion are evident early, while vascular growth and extracellular matrix changes are most pronounced in chronic tendinopathy. Early intervention may provide superior
Max F. R. Merkel +11 more
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The Distance Roman Domination Numbers of Graphs
Let k be a positive integer, and let G be a simple graph with vertex set V (G). A k-distance Roman dominating function on G is a labeling f : V (G) → {0, 1, 2} such that for every vertex with label 0, there is a vertex with label 2 at distance at most k ...
Aram Hamideh +2 more
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The device platform, which utilizes a photo‐crosslinked ionic gel electrolyte with a broad range of oxidation and reduction capabilities, can effectively evaluate and screen the thermoelectric material candidates with high potential across a wide range of doping levels, thereby minimizing the effort required to identify dopants compatible with ...
Sunbin Hwang +2 more
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Roman domination excellent graphs: trees
A Roman dominating function (RDF) on a graph $G = (V, E)$ is a labeling $f : V \rightarrow \{0, 1, 2\}$ such that every vertex with label $0$ has a neighbor with label $2$. The weight of $f$ is the value $f(V) = _{v\in V} f(v)$. The Roman domination number, $ _R(G)$, of $G$ is the minimum weight of an RDF on $G$. An RDF of minimum weight is called a
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Selective Mg doping in O3‐layered NaNi0.2Fe0.4Mn0.4O2 unlocks fast Na⁺ transport, stable anionic redox, and structural resilience. At 5% substitution, the cathode delivers improved capacity retention and high‐rate performance, while suppressing oxygen loss.
Akanksha Joshi +11 more
wiley +1 more source
Climate Change Agricultural Comparative Advantage and the US Trade Balance
ABSTRACT Current science indicates that warming and elevated atmospheric CO2 will have ambiguous results for crop productivity depending on crop type and geographic location, whereas increased heat stress makes livestock and human labor less productive.
Elizabeth A. Fraysse +2 more
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Weak signed Roman k-domination in digraphs [PDF]
Let \(k\geq 1\) be an integer, and let \(D\) be a finite and simple digraph with vertex set \(V(D)\). A weak signed Roman \(k\)-dominating function (WSRkDF) on a digraph \(D\) is a function \(f \colon V(D)\rightarrow \{-1,1,2\}\) satisfying the condition
Lutz Volkmann
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Dominating the Direct Product of Two Graphs through Total Roman Strategies
Given a graph G without isolated vertices, a total Roman dominating function for G is a function f:V(G)→{0,1,2} such that every vertex u with f(u)=0 is adjacent to a vertex v with f(v)=2, and the set of vertices with positive labels induces a graph of ...
Abel Cabrera Martínez +3 more
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Quasi-total Roman Domination in Graphs [PDF]
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Suitberto Cabrera García +2 more
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