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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
Wed Jan 21 2026
Journal Name
مجلة العميد
Portryal of Imam Ali (Peace be upon him) in the Poetry of Ibn Abi Al-Hadeed Al-Mo`atazali : Seventh `Alawiat Poems
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For poets to pay a great attention to the Islamic figures and their symbolism in Islam come as a prominent phenomenon in our literature . As there is an impact of them on the brilliant history commemorated by littérateurs . As a matter of fact ، the chronicle of Imam Ali Ibin Abi Talib (peace be upon him) falls in the orbit of the focus Ibn Abi Al-Hadid Al-Mu'tazili steers to in his poems . The current research study is to trace the portrayal of Imam Ali (peace be upon them) in the poetry of Ibn Abi Al-Hadid Al-Mu'tazili ، Seventh Alwiite Poems ، as there is no a study tacking such a conjecture before. In the article there are two axes : the introduction comes as first axis portraying Imam Ali Ibn Abi Talib (peace be upon him) in the wa

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Publication Date
Fri Sep 01 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Synthesis, Characterization and Studying the Enzyme Activity of New Benzothiazole Schiff Base Ligand (HL) and Its Complexes with Some of Metal Ions
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Publication Date
Thu Oct 24 2024
Journal Name
Scientific Reports
Effectiveness of high-frequency vibration, cotton rolls and elastomeric wafers in alleviating debonding pain of orthodontic metal brackets: a randomized clinical trial
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Publication Date
Tue Feb 01 2022
Journal Name
International Journal Of Nanoscience
Study of the Transition State of SnO<sub>2</sub> Cluster with NO<sub>2</sub> Gas Molecule via Density Functional Theory
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Density functional theory (DFT) with B3LYP level and 6-311G[Formula: see text] basis sets for light atoms like N and O and SDD basis sets for heavy atoms like Sn is used to examine the interaction of tin dioxide nanocrystals with nitrogen dioxide as a function of temperature from 273[Formula: see text]K to 373[Formula: see text]K through a Gaussian 09W software program. Gibbs free energy, enthalpy, and entropy of activation and reaction are calculated. The situation of transition of SnO2 clusters toward nitrogen dioxide is investigated. According to the findings, the activation energy of SnO2 clusters with nitrogen dioxide increases as the temperature rises (in negative value). Gauss view 0

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Publication Date
Wed Jan 01 2020
Journal Name
Systematic Reviews In Pharmacy
Anti-Oxidoreductive stress Effects of Iraqi Olea Europaea L. Leaves extract against low double doses of alloxan induced diabetes mellitus in rats
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Olive leaves extract is famous for its antioxidant and protective effects. In this study, the aqueous extract of Iraqi Olea europaea L. Leaves was investigated for its anti-diabetic effects against low double doses of alloxan induced Diabetes Mellitus in rats. Low double doses (75 mg\Kg body weight) of alloxan were injected intraperitoneally at day 1&29 of the experimental period in rats, whereas an aqueous extract of Iraqi Olea europaea L. Leaves was added continuously to their drinking water. Serum malondialdehyde concentration, total oxidative stress and oxidative stress index as oxidoreductive stress biomarker, activities of certain antioxidoreductive stress enzymes (glutathione peroxidase, super oxide dismutase and catalase) and concen

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Publication Date
Thu Jul 27 2023
Journal Name
Al-rafidain Journal Of Medical Sciences ( Issn 2789-3219 )
Clinicopathological Features of Colorectal Cancer in the Iraqi Population Focusing on Age and Early-Onset of Malignancy: A Descriptive Cross-Sectional Study
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Background: Colorectal cancer (CRC) is one of the top ten most common cancers worldwide. There are multiple risk factors for CRC, one of which is aging. However, in recent years, CRC has been reported in children. Objective: To describe the main characteristics and symptoms of CRC as well as highlight pathologic data for early-onset CRC. Methods: 79 CRC patients were recruited from the Oncology Teaching Hospital in the period February–December 2022. A questionnaire was used to collect demographic and clinical data. Results: 25 (31.6%) of patients were below 50 years of age. 52 (65.8%) patients had tumors in the colon. The most common symptom is bleeding per rectum in both age groups. There was no significant difference in patholog

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Publication Date
Tue Dec 26 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
A Comparative Study of Blood Levels of Manganese, Some Macroelements and Heavy Metals in Obese and Non-Obese Polycystic Ovary Syndrome Patients
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Polycystic ovary syndrome (PCOS) is a prevalent condition in women of reproductive age. It is characterized by androgen excess and chronic anovulation. Some trace elements, macroelements, and heavy metals have been linked to pathophysiological mechanisms of PCOS .

To study the alterations in the serum levels of the trace element manganese (Mn), some macroelements, magnesium(Mg) and calcium (Ca), and the heavy metals cadmium (Cd) and lead (Pb), in obese and non-obese PCOS patients; and the association of these alterations with some of the hormonal changes occurring in PCOS.

The study was carried out at Kamal Al-Samarrai Hospital (Center for Infertility treatment and in vitro Fertilization "IVF") Baghdad- Iraq. Eig

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Publication Date
Sat Jan 01 2022
Journal Name
Materials Today: Proceedings
Comparative study between the individual, dual and triple addition of (SF), (TGP) and (PVA) for improving Local Plaster of Paris (LPOP) properties
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Publication Date
Wed May 10 2017
Journal Name
Journal Of The College Of Languages (jcl)
Factores lingüísticos y extralingüísticos de la evolución semántica de los términos Linguistic and non-linguistic factors of the semantic evolution of terms
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La disciplina sémantica siendo una rama de la lingüística y relacionada con los significados que residen detrás de los vocablos sería muy intereseante ser estudiada y investigada, sobre todo cuando tratamos de penetrarnos dentro de la evolución semántica y los motivos por los que se suceden estos cambios. Pues, es injusto dejar de dar una definición aclaratoria sobre esta disciplina y sus componentes.

El significado de los léxicos que se forma por un conjunto de semas o rasgos significativos mínimos. Sin embargo, no todos esos semas son igualmente intervenidos por los hablantes de una comunidad lingüística, sino que hay algunos de ellos que siempre están presentes, mientras que otros varían. Es decir, el significado

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Publication Date
Wed Jan 21 2026
Journal Name
Journal Of Baghdad College Of Dentistry
An in vitro evaluation of shear bond strength of chemical and light-cured bonding materials with stainless steel, ceramic, and sapphire brackets
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