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Minimum Neighborhood Domination of Split Graph of Graphs
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Let  be a non-trivial simple graph. A dominating set in a graph is a set of vertices such that every vertex not in the set is adjacent to at least one vertex in the set. A subset  is a minimum neighborhood dominating set if  is a dominating set and if for every  holds. The minimum cardinality of the minimum neighborhood dominating set of a graph  is called as minimum neighborhood dominating number and it is denoted by  . A minimum neighborhood dominating set is a dominating set where the intersection of the neighborhoods of all vertices in the set is as small as possible, (i.e., ). The minimum neighborhood dominating number, denoted by , is the minimum cardinality of a minimum neighborhood dominating set. In other words, it is the smallest number of vertices needed to form a minimum neighborhood-dominating set. The concept of minimum neighborhood dominating set is related to the study of the structure and properties of graphs and is used in various fields such as computer science, operations research, and network design. A minimum neighborhood dominating set is also useful in the study of graph theory and has applications in areas such as network design and control theory. This concept is a variation of the traditional dominating set problem and adds an extra constraint on the intersection of the neighborhoods of the vertices in the set. It is also an NP-hard problem. The main aim of this paper is to study the minimum neighborhood domination number of the split graph of some of the graphs.

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Publication Date
Sat Apr 30 2022
Journal Name
Pakistan Journal Of Medical And Health Sciences
Role of Progranulin and its Implication in Knee Osteoarthritis among Iraqi Patients
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Background: Osteoarthritis is a complicated, chronic disorder of cartilage and bone, associated with homeostasis of bio-elements. The current study aims to assess the role of serum progranulin levels among Iraqi patients with knee osteoarthritis. Patients and Methods: The study encompassed 50 patients aged 52.50 ± 3.12 years (25 males and 25 females), admitted to the at the Baghdad Medical City through the period from November 2021 to March 2022. All individuals were identified by physicians in a Rheumatology and Rehabilitation Outpatient Clinic and the clinical data was collected along with the assess¬ment of biochemical parameters. Fasting serum glucose, lipid profile, calcium, magnesium, alkaline phosphatase, vitamin D3, and p

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Publication Date
Sun Feb 01 2015
Journal Name
Journal Of Economics And Administrative Sciences
An analytical study at the General Company for the manufacture of batteries
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    This study carry’s out the correlation and the effect of two main variables, these variables are Job Satisfaction included six sub: wages - salaries and justice and yield, working  conditions    and services, pattern of supervision and the relationship with the manger, Relationship with colleagues, the content of the work and the variety of tasks, development and  promotion  opportunities available  to  an individual,   and Organizational Performance included  two sub variables:  Efficiency, Effectiveness.  This research was conducted using a questioner as a main tool, This questioner was distributed randomly to a research community composed of

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Publication Date
Wed Jan 01 2020
Journal Name
Ieee Access
Modified Elman Spike Neural Network for Identification and Control of Dynamic System
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Publication Date
Thu May 18 2017
Journal Name
Semiconductor Science And Technology
Improving the optoelectronic properties of titanium-doped indium tin oxide thin films
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Publication Date
Sun Jan 01 2017
Journal Name
Advances In Civil Engineering
Behavior of Strengthened Composite Prestressed Concrete Girders under Static and Repeated Loading
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The use of external posttensioning technique for strengthening reinforced concrete girders has been considerably studied by many researchers worldwide. However, no available data are seen regarding strengthening full-scale composite prestressed concrete girders with external posttensioned technique under static and repeated loading. In this research, four full-scale composite prestressed I-shape girders of 16 m span were fabricated and tested under static and repeated loading up to failure. Accordingly, two girders were externally strengthened with posttensioned strands, while the other two girders were left without strengthening. The experimental tests include deflection, cracking load, ultimate strength and strains at midspan, a

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Publication Date
Sat Nov 01 2025
Journal Name
Bulletin Of The Chemical Society Of Ethiopia
SYNTHESIS, CHARACTERIZATION, THERMAL PROPERTIES, AND BIOLOGICAL EVALUATION OF AZO-TRANSITION METAL COMPLEXES
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The coupling reaction between tryptamine and 8-hydroxyquinoline led to the formation of a new azo ligand. The synthesized ligand was characterized using CHN, FT-IR, UV-Vis, and NMR spectroscopic techniques. Complexes of the ligand with VO2+, Cr3+, Mn2+, and Mo6+ ions were prepared in a (1:2) ratio, with the general formula [M(L)2]. The obtained complexes were characterized using flame atomic absorption, CHN analysis, FT-IR, and UV-Vis spectroscopy, in addition to magnetic susceptibility and conductivity measurements. The findings suggest that the ligand functions as a bidentate, with the complexes exhibiting octahedral, square planar and square pyramidal geometries. All the complexes were identified as non-electrolytes. Their antioxidant ef

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Publication Date
Mon Jan 02 2023
Journal Name
Baghdad Science Journal
Synthesis, Characterization, and Thermal Analysis of a New Acidicazo Ligand's Metal Complexes
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The researchers wanted to make a new azo imidazole as a follow-up to their previous work. The ligand 4-[(2-Amino-4-phenylazo)-methyl]-cyclohexane carboxylic acid as a derivative of trans-4- (aminomethyl) cyclohexane carboxylic acid diazonium salt, and synthesis a series of its chelate complexes with metalions, characterized these compounds using a variety technique, including elemental analysis, FTIR, LC-Mass, 1H-NMRand UV-Vis spectral process as well TGA, conductivity and magnetic quantifications. Analytical data showed that the Co (II) complex out to 1:1 metal-ligand ratio with square planner and tetrahedral geometry, respectively while 1:2 metal-ligand ratio in the Cu(II), Cr(III), Mn(II), Zn(II), Ru(III)and Rh(III)complexes with octahed

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Publication Date
Wed Jan 01 2020
Journal Name
Methods And Objects Of Chemical Analysis
Predicting The Composition Of Qurna Crude Oil Fraction By Ternary Composition Diagram
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With a goal to identify, and ultimately removing from the oil fraction, the carcinogenic components, an oil fraction oil has been analyzed into a main three hydrocarbon groups, paraffins, aromatics, and polycyclic saturates. A multi-stage adsorption apparatus has been used. Four units of 300 g alumina each seems to be sufficient for removing the polynuclear aromatics from 75 g of an oil fraction boiling between 365-375 °C from Qurna crude oil. The usefulness of the ternary diagram for analyzing the oil fraction to the three hydrocarbons groups has been studied and verified. An experimentally based linear relationship of density and refractive index was established to enable of identifying the composition of an oil fraction using th

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Publication Date
Sat Feb 09 2019
Journal Name
Journal Of The College Of Education For Women
Community Structure of South Sudan state and its impact on national integration
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South Sudan is known by its tribal and racial variation .Tribal Perception represents the
procedure of dealings in Southern society .And that what make Sudan as a stable country that
suffer from divisions . Everybody wants to rule in spite of his inability and un qualification
which enables the establishment of an urbanized country .the frustration of the state in
handling the interior variety on religious, tribal and racial basis and contracting national
ideality in spared by shared ingredients between gathered groups in one state, all these reasons
make it hard to create a united national identity which is able to unite atheist and religious
parties together. Due to this ,the study is established to clarify the nat

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Publication Date
Sat May 01 2021
Journal Name
Journal Of Physics: Conference Series
Morphological study of bronchial tree and lung in Iraqi weasel (Herpestes javanicus)
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Abstract<p>The current study aimed to identify the morphological description and branches of the bronchial tree and lung for the weasel <italic>Herpestes javanicus</italic> as one of the Iraqi mammals inhabiting the Iraqi environment. In the current study, 10 samples with an mean weight of 288-564 g were used, trachea and lung were removed from the samples and confirmed using proven solutions and laboratory tests were conducted on 5 samples of the study to identify the branches of the bronchial tree using the technique of casting resin and then exposing the samples to erosion. Weasel has a pair of bright pink sponge lungs that occupy most of the thoracic cavity. The lungs look similar </p> ... Show More
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