Results 51 to 60 of about 1,275 (240)
, 2016 In this paper, we initiate the study of a variant of Roman dominating functions. For a graph G=(V,E), a Roman {2}-dominating function f:V→{0,1,2} has the property that for every vertex v∈V with f(v)=0, either v is adjacent to a vertex assigned 2 under f,
Haynes, Teresa W. +3 more
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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
Advanced Science, EarlyView.Our findings establish SUMOylation as a key post‐translational control layer in auxin signaling. We show that SIZ1‐mediated SUMOylation of LBD29 promotes its association with ARF7, stabilizing a transcriptional hub that governs lateral root development.
Jiaxuan Sui +7 more
wiley +1 more source
The study of Roman domination number [PDF]
, 2015 碩士在一個圖G=(V,E)上， 定義一個函數 f 將V對應到{0, 1, 2}，假如f滿足每一個對應到0 的點都有一個對應到2的鄰居，函數 f 稱為羅馬控制函數。函數f的權重為圖中所有點相應的權重總和，而所有可能的羅馬控制函數中權重最小者稱為圖 G 的羅馬控制數。一個蜘蛛圖 G(k_1,k_2,k_3,…,k_t )為含有共同端點的t個路徑〖 P〗_(k_1 ), 〖 P〗_(k_2 ), …, 〖 P〗_(k_t )所形成的圖。一個一般蜘蛛圖〖 C〗_t (k_1,k_2,k_3,…,k_t ...
許智雄; Xu, Zhi-Xiong
core
On the D-differential of a graph
AKCE International Journal of Graphs and Combinatorics, 2022 Let [Formula: see text] be a graph of order n(G). For a subset S of V(G), the boundary of S is defined as [Formula: see text] where N(S) is the open neighborhood of S.
Kijung Kim
doaj +1 more source
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
Graphs with Large Hop Roman Domination Number [PDF]
Computer Science Journal of Moldova, 2019 A subset $S$ of vertices of a graph $G$ is a hop dominating set if every vertex outside $S$ is at distance two from a vertex of $S$. A Roman dominating function on a graph $G=(V,E)$ is a function $f: V(G) \longrightarrow \{0, 1, 2\}$ satisfying the ...
E. Shabani, N. Jafari Rad, A. Poureidi
doaj
On The Co-Roman Domination in Graphs
Discussiones Mathematicae Graph Theory, 2019 Let G = (V, E) be a graph and let f : V (G) → {0, 1, 2} be a function. A vertex v is said to be protected with respect to f, if f(v) > 0 or f(v) = 0 and v is adjacent to a vertex of positive weight. The function f is a co-Roman dominating function if (i)
Shao Zehui +4 more
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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
Roman domination in direct product graphs and rooted product graphs1 [PDF]
, 2021 Let G be a graph with vertex set V(G). A function f : V(G) -> {0, 1, 2) is a Roman dominating function on G if every vertex v is an element of V(G) for which f(v) = 0 is adjacent to at least one vertex u is an element of V(G) such that f(u) = 2.
González Yero, Ismael +3 more
core +1 more source