Results 11 to 20 of about 12,297,225 (161)

Total Roman {2}-Dominating Functions in Graphs [PDF]

, 2022
A Roman {2}-dominating function (R2F) is a function f : V → {0, 1, 2} with the property that for every vertex v ∈ V with f(v) = 0 there is a neighbor u of v with f(u) = 2, or there are two neighbors x, y of v with f(x) = f(y) = 1.
Chellali, M., Ahangar, H. Abdollahzadeh, Sheikholeslami, S.M., Valenzuela-Tripodoro, J.C.   +3 more
core   +1 more source

Total Minimal Dominating Signed Graph [PDF]

, 2010
Cartwright and Harary considered graphs in which vertices represent persons and the edges represent symmetric dyadic relations amongst persons each of which designated as being positive or negative according to whether the nature of the relationship is ...
Reddy, Siva Kota, Vijay, S.
core   +1 more source

Singed Total Domatic Number of a Graph [PDF]

, 2010
The maximum number of functions in a signed total dominating family on G is the signed total domatic number of G. In this paper, some properties related signed total domatic number and signed total domination number of a graph are studied and found the ...
Shailaja S. Shirkol, Walikar, H.B., Kishori P.Narayankar   +2 more
core   +1 more source

Smarandache Directionally n-Signed Graphs — A Survey [PDF]

, 2013
For graph theory terminology and notation in this paper we follow the book [3]. All graphs considered here are finite and simple.
P. Siva Kota Reddy, Reddy, P.Siva Kota
core   +1 more source

The signed total Roman domatic number of a digraph

, 2018
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

Twin signed Roman domatic numbers in digraphs [PDF]

, 2017
Let $D$ be a finite simple digraph with vertex set $V(D)$. A twin signed Roman dominating function on the digraph $D$ is a function $f:V(D)\rightarrow\{-1,1,2\}$ satisfying the conditions that (i) $\sum_{x\in N^-[v]}f(x)\ge 1$ and $\sum_{x\in N^+[v]}f(x)\
Seyed Mahmoud Sheikholeslami, Sheikholeslami, Seyed Mahmoud, Volkmann, Lutz, Lutz Volkmann   +3 more
core   +1 more source

Halogen Surface Terminations in Ti3C2 MXenes for Interface Engineering in Perovskite Solar Cells

Advanced Materials Interfaces, EarlyView.
Controlled halogen surface terminations in Ti3C2${\rm Ti}_3{\rm C}_2$ MXenes enable the isolation of structure‐property relationships, revealing how –Cl and –Br terminations influence interlayer spacing, electronic behavior, and work function. When incorporated into IT‐4F‐based interfacial layers, these MXenes modulate interfacial processes and device ...
Morgana Müller de França, Sara Pescetelli, Antonio Agresti, Jhionathan de Lima, Martin Ignacio Broens, Aditya Sharma, Maiara de Jesus Bassi, Cristiano Francisco Woellner, Hanna Pazniak, Aldo di Carlo, Lucimara Stolz Roman   +10 more
wiley   +1 more source

On signed majority total domination in graphs [PDF]

, 2005
summary:We initiate the study of signed majority total domination in graphs. Let $G=(V,E)$ be a simple graph. For any real valued function $f\: V \rightarrow \mathbb{R}$ and ${S\subseteq V}$, let $f(S)=\sum _{v\in S}f(v)$.
Sun, Liang, Chen, Xue-Gang, Xing, Hua-Ming   +2 more
core   +1 more source

Smart Antibacterial Coatings: Harnessing Bacterial Redox Activity for Infection Control

Advanced Materials Interfaces, EarlyView.
In this study, we have shown that ceftazidime‐loaded poly(3,4‐ethylenedioxythiophene) (PEDOT@CAZ) functions as a smart, redox‐responsive antibacterial coating that couples bacterial electrical activity with localized antibiotic delivery. Shewanella oneidensis and Pseudomonas aeruginosa induced distinct redox responses in PEDOT, reflecting their ...
Abdullah, Szymon Smołka, Kamran Ayaz, Sara Shakibania, Sajida Maryam, Taral Patel, Roman Turczyn, Ewa Zabłocka‐Godlewska, Katarzyna Krukiewicz   +8 more
wiley   +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