Results 31 to 40 of about 72,011 (256)
Complexity of Roman {2}-domination and the double Roman domination in graphs
AKCE International Journal of Graphs and Combinatorics, 2020 For a simple, undirected graph a Roman {2}-dominating function (R2DF) has the property that for every vertex with f(v) = 0, either there exists a vertex with f(u) = 2, or at least two vertices with The weight of an R2DF is the sum The minimum weight of ...
Chakradhar Padamutham +1 more
doaj +1 more source
A Note on the Edge Roman Domination in Trees [PDF]
, 2017 A subset $X$ of edges of a graph $G$ is called an \textit{edgedominating set} of $G$ if every edge not in $X$ is adjacent tosome edge in $X$. The edge domination number $\gamma'(G)$ of $G$ is the minimum cardinality taken over all edge dominating sets of
Rad, N. J. (Nader)
core +2 more sources
Opiate of Christ; or, John's Gospel and the Spectre of Class [PDF]
, 2016 This article applies a Libertarian Marxist lens to the Gospel of John. In doing so, it highlights the agrarian-aristocratic class struggle that is refracted in the text and also seeks to problematize hierarchi- cal and authoritarian ideologies. Its point
Robert Myles
core +2 more sources
Quasi total double Roman domination in graphs
AKCE International Journal of Graphs and CombinatoricsA quasi total double Roman dominating function (QTDRD-function) on a graph [Formula: see text] is a function [Formula: see text] having the property that (i) if f(v) = 0, then vertex v must have at least two neighbors assigned 2 under f or one neighbor w
S. Kosari +4 more
doaj +1 more source
On the weak Roman domination number of lexicographic product graphs
, 2018 A vertex $v$ of a graph $G=(V,E)$ is said to be undefended with respect to a function $f: V \longrightarrow \{0,1,2\}$ if $f(v)=0$ and $f(u)=0$ for every vertex $u$ adjacent to $v$.
Pérez-Rosés, Hebert +2 more
core +1 more source
Acid‐ and Nucleophile‐Gated Photoisomerization of Phosphaindirubin
Angewandte Chemie, EarlyView.Triply gated isomerization: In polar solvents, a phosphorus‐containing indirubin photoswitch undergoes visible‐light‐driven Z→E isomerization only when protonated, and reverts thermally via nucleophile‐catalyzed back‐isomerization. This three‐way control by light, acid, and nucleophile enables reversible photoisomerization.
Jacob Jan van der Wal +8 more
wiley +2 more sources
Strong Equality of Perfect Roman and Weak Roman Domination in Trees [PDF]
, 2019 Let G=(V,E) be a graph and f:V⟶{0,1,2} be a function. Given a vertex u with f(u)=0, if all neighbors of u have zero weights, then u is called undefended with respect to f.
Alhevaz, Abdollah +3 more
core +1 more source
Advanced Materials, EarlyView.Glass, historically valued for its purity and durability, has long inspired artists and societies. This article introduces the concept of “Archeo‐Inspiration”, drawing on cultural and historical contexts of glass to guide future material innovations.
Eva von Contzen +3 more
wiley +1 more source
Some Progress on the Double Roman Domination in Graphs
Discussiones Mathematicae Graph Theory, 2019 For a graph G = (V,E), a double Roman dominating function (or just DRDF) is a function f : V → {0, 1, 2, 3} having the property that if f(v) = 0 for a vertex v, then v has at least two neighbors assigned 2 under f or one neighbor assigned 3 under f, and ...
Rad Nader Jafari, Rahbani Hadi
doaj +1 more source
Giant Berry‐phase‐Driven X‐Ray Beam Translations in Strain‐Engineered Semiconductor Crystals
Advanced Materials, EarlyView.Due to the Berry‐phase effect, X‐rays propagating in deformed crystals undergo large translations, interesting for X‐ray optics applications. Here, the lattice expansion observed upon H irradiation of dilute‐nitride semiconductors is exploited to engineer the deformation landscape of selectively hydrogenated GaAsN epilayers.
Marco Felici +9 more
wiley +1 more source