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Bounds for signed double Roman k-domination in trees
Let k ≥ 1 be an integer and G be a simple and finite graph with vertex set V(G). A signed double Roman k-dominating function (SDRkDF) on a graph G is a function f:V(G) → {−1,1,2,3} such that (i) every vertex v with f(v) = −1 is adjacent to at least two ...
Xiaosong Zhang +6 more
core +1 more source
Maximal double Roman domination in graphs
A maximal double Roman dominating function (MDRDF) on a graph G = (V, E) is a function f:V(G)→{0,1,2,3} such that (i) every vertex v with f(v)=0 is adjacent to least two vertices assigned 2 or to at least one vertex assigned 3, (ii) every vertex v with f(
Chellali, M. +10 more
core +1 more source
ABSTRACT In current dynamic time history assessment protocols, ground motion recordings are mostly oriented along fixed sensor directions. Consequently, the orientation of the principal resultant of rupture energy, which may control the maximum structural demand, remains undefined, precluding consistent correlation with physically detrimental ...
Santiago Londono‐Lopez +4 more
wiley +1 more source
Some Properties of Double Roman Domination
A double Roman dominating function on a graph G is a function f:VG⟶0,1,2,3 satisfying the conditions that every vertex u for which fu=0 is adjacent to at least one vertex v for which fv=3 or two vertices v1 and v2 for which fv1=fv2=2 and every vertex u ...
Xiaoqing Zhou, Hong Yang
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Total Perfect Roman Domination
A total perfect Roman dominating function (TPRDF) on a graph G=(V,E) is a function f from V to {0,1,2} satisfying (i) every vertex v with f(v)=0 is a neighbor of exactly one vertex u with f(u)=2; in addition, (ii) the subgraph of G that is induced by the
Ahlam Almulhim
core +1 more source
A reconstructed Pangea would result in lower biodiversity
Driven by globalization and climatic change, rates of biological invasion are on the increase. Although these increasing rates are widely expected to lead to increased rates of extinction, it has been argued that these ‘newly arrived' species might increase biodiversity.
John M. Halley, Gábor L. Lövei
wiley +1 more source
The signed total Roman domatic number of a digraph
Let [Formula: see text] be a finite simple digraph with vertex set [Formula: see text]. A signed total Roman dominating function (STRDF) on a digraph [Formula: see text] is a function [Formula: see text] such that (i) [Formula: see text] for every ...
J. Amjadi
core +1 more source
Edge domination in graphs of cubes [PDF]
summary:The signed edge domination number and the signed total edge domination number of a graph are considered; they are variants of the domination number and the total domination number.
Zelinka, Bohdan +3 more
core +1 more source
A new method compares both kilometer and sub‐kilometre weather model simulations with Doppler lidar observations to assess the representation of boundary‐layer turbulence. While bulk boundary‐layer properties are well represented, vertical velocity variance is strongly underestimated in both simulations.
Natalie J. Harvey +7 more
wiley +1 more source
Across the Maritime Continent, diurnal rainfall variability is governed by interactions between regional‐scale atmospheric drivers and local land–sea breeze circulations. Afternoon convection is initiated over land by surface heating and propagates offshore, whereas morning rainfall develops over adjacent seas and moves inland under low‐level northerly
Dony Christianto +3 more
wiley +1 more source

