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Double Total Domination Number on Some Chemical Nanotubes [PDF]

open access: diamondKragujevac Journal of Mathematics
Suppose G is a graph with the vertex set V (G). A set D ⊆ V (G) is a total k-dominating set if every vertex v ∈ V (G) has at least k neighbours in D. The total k-domination number γkt(G) is the size of the smallest total k-dominating set. When k = 2 the total 2-dominating set is referred to as a double total dominating set.
Ana Klobučar, Antoaneta Klobučar
openalex   +3 more sources

Double total domination number in certain chemical graphs

open access: yesAIMS Mathematics, 2022
Let $ G $ be a graph with the vertex set $ V(G) $. A set $ D\subseteq V(G) $ is a total k-dominating set if every vertex $ v\in V(G) $ has at least $ k $ neighbours in $ D $.
Ana Klobučar Barišić   +1 more
doaj   +1 more source

On the inverse signed total domination number in graphs [PDF]

open access: yesOpuscula Mathematica, 2017
In this paper, we study the inverse signed total domination number in graphs and present new sharp lower and upper bounds on this parameter. For example by making use of the classic theorem of Turán (1941), we present a sharp upper bound on \(K_{r+1 ...
D. A. Mojdeh, B. Samadi
doaj   +1 more source

Psychosocial Outcomes in Patients With Endocrine Tumor Syndromes: A Systematic Review

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction The combination of disease manifestations, the familial burden, and varying penetrance of endocrine tumor syndromes (ETSs) is unique. This review aimed to portray and summarize available data on psychosocial outcomes in patients with ETSs and explore gaps and opportunities for future research and care.
Daniël Zwerus   +6 more
wiley   +1 more source

Total Roman Domination Number of Rooted Product Graphs

open access: yesMathematics, 2020
Let G be a graph with no isolated vertex and f:V(G)→{0,1,2} a function. If f satisfies that every vertex in the set {v∈V(G):f(v)=0} is adjacent to at least one vertex in the set {v∈V(G):f(v)=2}, and if the subgraph induced by the set {v∈V(G):f(v)≥1} has ...
Abel Cabrera Martínez   +3 more
doaj   +1 more source

A Comparative Study of Cerebral Oxygenation During Exercise in Hemodialysis and Peritoneal Dialysis Patients

open access: yesTherapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Cognitive impairment and exercise intolerance are common in dialysis patients. Cerebral perfusion and oxygenation play a major role in both cognitive function and exercise execution; HD session per se aggravates cerebral ischemia in this population. This study aimed to compare cerebral oxygenation and perfusion at rest and in mild
Marieta P. Theodorakopoulou   +10 more
wiley   +1 more source

Reciprocal control of viral infection and phosphoinositide dynamics

open access: yesFEBS Letters, EarlyView.
Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley   +1 more source

Minimum Randić Index of Trees with Fixed Total Domination Number

open access: yesMathematics, 2022
The Randić index is among the most famous degree-based topological indices in chemical graph theory. It was introduced due to its application in modeling the properties of certain molecular structures and has been extensively studied.
Ayu Ameliatul Shahilah Ahmad Jamri   +4 more
doaj   +1 more source

Total \(k\)-rainbow domination numbers in graphs

open access: yesCommunications in Combinatorics and Optimization, 2018
Summary: Let \(k\geq 1\) be an integer, and let \(G\) be a graph. A \(k\)-rainbow dominating function (or a \(k\)-RDF) of \(G\) is a function \(f\) from the vertex set \(V(G)\) to the family of all subsets of \({1,2,\ldots ,k}\) such that for every \(v\in V(G)\) with \(f(v)=\emptyset\), the condition \(\bigcup_{u\in N_{G}(v)}f(u)=\{1,2,\ldots,k\}\) is ...
Abdollahzadeh Ahangar, Hossein   +3 more
openaire   +2 more sources

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

open access: yesFEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho   +3 more
wiley   +1 more source

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