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Survey on Roman {2}-Domination

Mathematics
The notion of Roman {2}-domination was introduced in 2016 as a variant of Roman domination, a concept inspired by a defending strategy used by the emperor Constantine (272–337 AD) to protect the Roman Empire.
Ahlam Almulhim, Bana Al Subaiei, Saiful Rahman Mondal   +2 more
doaj   +1 more source

Triple Roman domination subdivision number in graphs [PDF]

Computer Science Journal of Moldova, 2022
For a graph $G=(V, E)$, a triple Roman domination function is a function $f: V(G)\longrightarrow\{0, 1, 2, 3, 4\}$ having the property that for any vertex $v\in V(G)$, if $f(v)
Jafar Amjadi, Hakimeh Sadeghi
doaj  

A study on roman domination lower deg-centric graphs

Journal of Combinatorial Mathematics and Combinatorial Computing
The lower deg-centric graph of a simple, connected graph \(G\), denoted by \(G_{ld}\), is a graph constructed from \(G\) such that \(V(G_{ld}) = V(G)\) and \(E(G_{ld}) = \{v_iv_j: d_G(v_i,v_j) < \deg_G(v_i)\}\).
Timmy Tomy Thalavayalil
semanticscholar   +1 more source

On the total Roman domination in trees

Discussiones Mathematicae Graph Theory, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amjadi Jafar, Sheikholeslami Seyed Mahmoud, Soroudi Marzieh   +2 more
openaire   +2 more sources

Stacking Fault Complexions in AgSbTe2 Thermoelectrics With Enhanced Electrical Conductivity

Advanced Functional Materials, EarlyView.
Atomic‐scale characterization resolves stacking fault complexion in AgSbTe2, showing Te and Sb segregation along with lattice dilation. Their enhanced effects on phonon scattering are modeled analytically. Although most defects also impede electron transport, local four‐point‐probe measurements reveal higher electrical conductivity at stacking fault ...
Lamya Abdellaoui, Hanna Bishara, Eleonora Isotta, Cynthia Rodenkirchen, Sergei Grazhdannikov, Yuan Yu, Ruben Bueno‐Villoro, Chanwon Jung, G. Jeffrey Snyder, Baptiste Gault, Yaron Amouyal, Oana Cojocaru‐Mirédin, Christina Scheu, Siyuan Zhang   +13 more
wiley   +1 more source

Some Progress on the Double Roman Domination in Graphs

Discussiones Mathematicae Graph Theory, 2019
For a graph G = (V,E), a double Roman dominating function (or just DRDF) is a function f : V → {0, 1, 2, 3} having the property that if f(v) = 0 for a vertex v, then v has at least two neighbors assigned 2 under f or one neighbor assigned 3 under f, and ...
Rad Nader Jafari, Rahbani Hadi
doaj   +1 more source

Deterministic Nucleation of Nanocrystal Superlattices on 2D Perovskites for Light‐Funneling Heterostructures

Advanced Materials, EarlyView.
This work investigates the heterogeneous nucleation of CsPbBr3${\rm CsPbBr}_3$ nanocrystal superlattices along the faces of 2D PEA2PbBr4${\rm PEA}_2{\rm PbBr}_4$ layered perovskite microcrystals. Core–crown and core–shell heterostructure morphologies are obtained.
Umberto Filippi, Alexander Schleusener, Simone Lauciello, Roman Krahne, Dmitry Baranov, Liberato Manna, Masaru Kuno   +6 more
wiley   +1 more source

Notes on double Roman domination edge critical graphs

RAIRO Oper. Res.
Given a graph G=(V,E), a double Roman dominating function (DRDF) on a graph G is a function f:V→{0,1,2,3} satisfying the condition that every vertex u for which f(u)=0 is adjacent to at least one vertex v for which f(v)=3 or two vertices v₁ and v₂ for ...
A. Omar, A. Bouchou
semanticscholar   +1 more source

Multiscale Modelling of the Electrocatalysis of Microenzymes: Insights Into the Performance of Microperoxidase at an Aqueous/Graphene Interface and Their Exploitation to Improve Performance

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, Cheng Hu, Yuhui Sun, Matthew J. Penna, Meisam V. Kiamahalleh, Wenrong Yang, Mark J. Biggs   +6 more
wiley   +1 more source

Wafer‐Scale Atomically‐Thin Gold: Transferable Platform for Flexible Optoelectronics, Thermal Management and Bio‐Interfaces

Advanced Science, EarlyView.
Combining template stripping with a graphene‐inspired transfer yields continuous, transferable gold films at 6‐inch wafer scale with thicknesses approaching the atomic limit. The atomically smooth, near‐bulk‐quality films offer above 86% transmittance and sub‐20 Ω/square sheet resistance, serving as a universal platform for flexible optoelectronics ...
Dmitry Yakubovsky, Mikhail Mironov, Georgy Ermolaev, Aleksandr Khrebtov, Aleksandr Slavich, Prashant Narute, Pritom Chowdhury, Roman Kirtaev, Igor Khramtsov, Anton Minnekhanov, Gleb Tselikov, Dmitriy Grudinin, Maria Sidorova, Nikolay Pak, Pavel Maslov, Andrey Vyshnevyy, Hongkai Zhou, Vasyl G. Kravets, Alexander N. Grigorenko, Ivan Kruglov, Nikita Orekhov, Dmitry Kireev, Aleksey Arsenin, Kostya S. Novoselov, Valentyn Volkov   +24 more
wiley   +1 more source