Results 41 to 50 of about 1,275 (240)
Double Roman reinforcement number in graphs
AKCE International Journal of Graphs and Combinatorics, 2021 For a graph a double Roman dominating function is a function having the property that if f(v) = 0, then vertex v must have at least two neighbors assigned 2 under f or one neighbor w with f(w) = 3, and if f(v) = 1, then vertex v must have at least one ...
J. Amjadi, H. Sadeghi
doaj +1 more source
On the strong Roman domination number of graphs [PDF]
, 2017 Based on the history that the Emperor Constantine decreed that any undefended place (with no legions) of the Roman Empire must be protected by a “stronger” neighbor place (having two legions), a graph theoretical model called Roman domination in graphs ...
Álvarez Ruiz, María del Pilar +4 more
core +1 more source
Total double Roman domination in graphs [PDF]
Communications in Combinatorics and Optimization, 2020 Let $G$ be a simple graph with vertex set $V$. A double Roman dominating function (DRDF) on $G$ is a function $f:V\rightarrow\{0,1,2,3\}$ satisfying that if $f(v)=0$, then the vertex $v$ must be adjacent to at least two vertices assigned $2$ or one ...
Guoliang Hao +2 more
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Total roman domination in digraphs [PDF]
, 2021 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
, 2016 For a graph G=(V,E), a double Roman dominating function is a function f:V→{0,1,2,3} having the property that if f(v)=0, then vertex v must have at least two neighbors assigned 2 under f or one neighbor with f(w)=3, and if f(v)=1, then vertex v must have ...
Haynes, Teresa W. +2 more
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Restrained double Roman domination of a graph [PDF]
, 2022 For a graph G = (V, E), a restrained double Roman dominating function is a function f : V → {0, 1, 2, 3} having the property that if f(v) = 0, then the vertex v must have at least two neighbors assigned 2 under f or one neighbor w with f(w) = 3, and if f(
Doost Ali Mojdeh +2 more
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Lower and upper bounds on independent double Roman domination in trees
Electronic Journal of Graph Theory and Applications, 2022 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 ∈ N(v) having f(x)=f(y ...
M. Kheibari +3 more
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Advanced Materials, EarlyView.This work develops bias‐triggered conductivity relaxation as a novel technique to study oxygen reactions in mixed ionic‐electronic conducting thin films by integrating electrochemical titration and electrical conductivity relaxation to achieve synchronous multi‐parameter characterization, providing simultaneous electronic, ionic, and extraordinarily ...
Alexander Stangl +4 more
wiley +1 more source
On the roman domination number of generalized Sierpiński graphs [PDF]
, 2017 A map f : V?(0,1,2) is a Roman dominating function on a graph G = (V,E) if for every vertex v ? V with f(v)=0, there exists a vertex u, adjacent to v, such that f(u)=2. The weight of a Roman dominating function is given by f(V)=?u?V f(u).
E.D. Rodríguez-Bazan +2 more
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Advanced Science, EarlyView.A novel multiscale MD/DFT framework to elucidate microenzyme adsorption and electron transfer is reported. This method reveals distinct configurations for microperoxidase‐11 on graphene and those best suited for electron transfer. Rate constants align with the limited experimental data, establishing this framework as a tool for optimizing microenzyme ...
Milan Mijajlovic +6 more
wiley +1 more source