Results 51 to 60 of about 2,551 (252)
On the double Roman domination number in oriented trees
, 2023 Abstract Note: Please see pdf for full abstract with equations. Let D = (V,A) be a digraph. A double Roman dominating function on a digraph D is a function ƒ :V → {0, 1, 2, 3} such that every vertex u for which ƒ(u) = 0 has an in-neighbor v for which ƒ(v) = 3 or at least two in-neighbors assigned 2 under ƒ, while if ƒ(u) = 1, then the vertex u ...
Lyes Ouldrabah +2 more
openaire +1 more source
On the domination of triangulated discs [PDF]
, 2023 summary:Let $G$ be a $3$-connected triangulated disc of order $n$ with the boundary cycle $C$ of the outer face of $G$. Tokunaga (2013) conjectured that $G$ has a dominating set of cardinality at most $\frac 14(n+2)$.
Abd Aziz, Noor A'lawiah +2 more
core +1 more source
[k]-Roman Domination in Digraphs
, 2023 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&
Ruijuan Li, Xinhong Zhang, Xin Song
core +1 more source
On the {2}-domination number of graphs [PDF]
, 2022 [EN] Let G be a nontrivial graph and k ¿ 1 an integer. Given a vector of nonnegative integers w = (w0,...,wk), a function f : V(G) ¿ {0,..., k} is a w-dominating function on G if f(N(v)) ¿ wi for every v ¿ V(G) such that f(v) = i. The w-domination number
Cabrera Martínez, Abel +2 more
core +1 more source
A Borane Sandwich Analogue of Ferrocene
Angewandte Chemie, EarlyView.The first ferrocene analogue with two boron‐based ligands is identified through a global exploration of the FeB10H20 potential energy surface. The η5,η5‐Fe(B5H10)2 complex emerges as the global minimum, showing that metal coordination inverts borane stability and enables aromatic boron rings inaccessible in isolation.
Viviana Roman‐Ventura +8 more
wiley +2 more sources
Restrained condition on double Roman dominating functions
, 2022 We continue the study of restrained double Roman domination in graphs. For a graph $G=\big{(}V(G),E(G)\big{)}$, a double Roman dominating function $f$ is called a restrained double Roman dominating function (RDRD function) if the subgraph induced by $\{v\
Samadi, Babak +12 more
core +1 more source
Domination parameters with number 2: interrelations and algorithmic consequences [PDF]
, 2016 In this paper, we study the most basic domination invariants in graphs, in which number 2 is intrinsic part of their definitions. We classify them upon three criteria, two of which give the following previously studied invariants: the weak $2$-domination
Safe, Martin D. +4 more
core +2 more sources
Advanced Electronic Materials, EarlyView.In dynamic driving scenarios, the proposed approach ensures only temporally aligned sensor inputs to make driving decisions, preventing false activations. By enabling selective hardware‐level learning, it achieves fast, reliable responses under noisy conditions.
Kapil Bhardwaj +4 more
wiley +1 more source
Advanced Experiment Design Strategies for Drug Development
Advanced Intelligent Discovery, EarlyView.Wang et al. analyze 592 drug development studies published between 2020 and 2024 that applied design of experiments methodologies. The review surveys both classical and emerging approaches—including Bayesian optimization and active learning—and identifies a critical gap between advanced experimental strategies and their practical adoption in ...
Fanjin Wang +3 more
wiley +1 more source
Archaeological Prospection, EarlyView.ABSTRACT This study presents a multi‐method non‐invasive investigation of an approximately 4‐ha area associated with the long‐occupied coastal settlement of Rocavecchia (Apulia, southern Italy), situated between the prehistoric fortified peninsula and the Hellenistic‐Messapian walls.
Giuseppe Guarino +3 more
wiley +1 more source