Results 11 to 20 of about 706 (195)
Signed double roman domination of graphs
In this paper we continue the study of signed double Roman dominating functions in graphs. A signed double Roman dominating function (SDRDF) on a graph G = (V,E) is a function f : V(G) {-1,1,2,3} having the property that for each v V(G), f [v] ≥
Hossein Ahangar Abdollahzadeh +2 more
openalex +2 more sources
[k]-Roman Domination in Digraphs
Let D=(V(D),A(D)) be a finite, simple digraph and k a positive integer. A function f:V(D)→{0,1,2,…,k+1} is called a [k]-Roman dominating function (for short, [k]-RDF) if f(AN−[v])≥|AN−(v)|+k for any vertex v∈V(D), where AN−(v)={u∈N−(v):f(u)≥1} and AN−[v]=
Xinhong Zhang, Xin Song, Ruijuan Li
semanticscholar +1 more source
Double Roman Domination: A Survey
Since 2016, when the first paper of the double Roman domination appeared, the topic has received considerable attention in the literature. We survey known results on double Roman domination and some variations of the double Roman domination, and a list ...
Darja Rupnik Poklukar, J. Žerovnik
semanticscholar +1 more source
Acid‐ and Nucleophile‐Gated Photoisomerization of Phosphaindirubin
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
DOUBLE ROMAN DOMINATION NUMBER OF MIDDLE GRAPH
For any graph G(V, E), a function f : V (G) 0, 1, 2, 3 is called Double Roman dominating function (DRDF) if the following properties holds, If f (v) = 0, then there exist two vertices v1, v2 ∈ N (v) for which f (v1) = f (v2) = 2 or there exist ...
Shailaja S. Shirkol +2 more
semanticscholar +1 more source
A vapor‐based porous coating applied within nitinol tubes demonstrated complete suppression of cellular and tissue ingrowth, overcoming a major limitation of implantable interstitial fluid collection devices. Molecular channeling and diffusion are analyzed with probe molecules, showing reliable transport in vitro and in vivo. The coating also achieved >
Yu‐Ming Chang +8 more
wiley +1 more source
Double Roman Domination in Generalized Petersen Graphs P(ck, k)
A double Roman dominating function on a graph G=(V,E) is a function f:V→{0,1,2,3}, satisfying the condition that every vertex u for which f(u)=1 is adjacent to at least one vertex assigned 2 or 3, and every vertex u with f(u)=0 is adjacent to at least ...
D. R. Poklukar, J. Žerovnik
semanticscholar +1 more source
Giant Berry‐phase‐Driven X‐Ray Beam Translations in Strain‐Engineered Semiconductor Crystals
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
We demonstrate an adaptive Si field‐effect transistor featuring a negative differential transconductance (NDT) mode alongside run‐time switchable PMOS and NMOS operation. This is achieved by precisely controlling the charge carrier type in the transistor by electrostatic gating.
Andreas Fuchsberger +3 more
wiley +1 more source
Lower and upper bounds on independent double Roman domination in trees
For a graph G = ( V, E ) , a double Roman dominating function (DRDF) f : V → { 0 , 1 , 2 , 3 } has the property that for every vertex v ∈ V with f ( v ) = 0 , either there exists a neighbor u ∈ N ( v ) , with f ( u ) = 3 , or at least two neighbors x, y ∈
M. Kheibari +3 more
semanticscholar +1 more source

