Results 41 to 50 of about 15,570,600 (248)
On the signed total Roman domination and domatic numbers of graphs
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openaire +3 more sources
Increasing the density of isolated manganese (Mn) atoms in carbon nitride (CNx) photocatalysts does not continuously improve performance. Instead, beyond a critical loading, the polymer support reorganizes, altering charge‐carrier dynamics and oxygen activation while preserving atomic dispersion.
Viktoria Velichko +14 more
wiley +2 more sources
On the Total Double Roman Domination
Let G = (V, E) be a simple graph. A double Roman dominating function (DRDF) on G is a function f from the vertex set V of G into {0, 1, 2, 3} such that if f (u) = 0, then u must have at least two neighbors assigned 2 or one neighbor assigned 3 under f ...
Zehui Shao +3 more
doaj +1 more source
Total roman domination in digraphs
Let D be a nite and simple digraph with vertex set V (D). A Roman dominating function (RDF) on a digraph D is a function f : V (D) → {0; 1; 2} satisfying the condition that every vertex v with f(v) = 0 has an in-neighbor u with f(u) = 2. The weight of an
Zhuang, Wei, Hu, Kangxiu, Hao, Guoliang
core
Molecular Basis of NPY Recognition and Ligand Selectivity at the Neuropeptide Y5 Receptor
Here, we present the first active structure of the neuropeptide Y5 receptor (NPY5R) in complex with its endogenous ligand NPY and the Gi1 protein. The cryo‐electron microscopy structure, validated by extensive mutagenesis studies, gives important insights into the molecular mechanisms underlying ligand binding and receptor activation.
Lisa Christin Peuker +8 more
wiley +2 more sources
Total Roman Domination of Kneser Graphs
The total Roman domination number of a graph is the smallest possible sum of the weights 0, 1, and 2 applied to vertices of the graph that satisfy certain rules originating from Roman military strategy.
Stainsby, Cole +6 more
core
Guest transport across metal–organic framework (MOF) single crystals disentangles transport occurring through the micropores from contributions at grain boundaries. Even guest molecules with identical kinetic diameters show drastically different transport behavior arising from the distinct modes of adsorption. Neither pore clogging nor surface collapse
Hochul Woo +2 more
wiley +2 more sources
Global total Roman domination in graphs
A total Roman dominating function (TRDF) on a graph [Formula: see text] is a function [Formula: see text] satisfying the conditions (i) every vertex [Formula: see text] for which [Formula: see text] is adjacent at least one vertex [Formula: see text ...
J. Amjadi +2 more
core +1 more source
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
doaj +1 more source
The Interplay of Curvature, Geometry, and Topology Shapes Tissue Organisation in Epithelial Shells
Purely geometric 3D Voronoi models predict the organisation of epithelial shells. The interplay of curvature, geometry, and topology enriches the number of pentagons in shells with lower number of cells. Small MDCK cysts and Mouse embryos match the top polygonal configurations in a compactness‐based ranking derived from the Voronoi model. In conclusion,
Laura Morato +9 more
wiley +1 more source

