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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 Apr 09 2014
Journal Name
Chemical And Process Engineering Research
Analytical Profile of 4 - (4-Nitro Benzene Azo) - 3 - Amino Benzoic Acid on a Surface of Natural Granulated Calcined Iraqi Montmorillonite Clay Mineral, via Columnar Method
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The adsorption ability of Iraqi initiated calcined granulated montmorillonite to adsorb of 4-(4-Nitrobenzeneazo) 3-Aminobenzoic Acid from aqueous solutions has been investigated through columnar method. The azo dye adsorption found to be dependent on adsorbent dosage, initial concentration and contact time. All columnar experiments were carried out at three different pH values (5.5, 7and 8) using buffer solutions at flow rate of (3 drops/ min.), at room temperature (25±2) °C. The experimental isotherm data were analyzed using Langmuir, Freundlich and Temkin equations. The monolayer adsorption capacity is 6.4066 mg Azo ligand per 1g calcined Montmorillonite. The experiments showed that highest removal rate 90.5 % for azo dye at pH 5.5.The

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Publication Date
Sun Feb 15 2026
Journal Name
Journal Of Baghdad College Of Dentistry
Evaluation of olive oil as a separating medium and its effect on some physical properties of processed acrylic resin denture base (A comparative study). Part one
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Back ground: During acrylic resin processing, the mold must be separated from the surface of the gypsum to prevent liquid resin from penetrating into the gypsum, and water from the gypsum seeping into the acrylic resin. For many years, tin foil was the most acceptable separating medium, and because it's difficult to apply, a tin-foil substitute is used. In this study, olive oil is used as an alternative to tin foil separating medium for first time, so the aim of the study was to evaluate its effect as a separating medium on some physical properties such as (surface roughness, water sorption and solubility) of acrylic resins denture base comparing it with those processed using tin-foil and tin foil substitute such as (cold mold seal) separat

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Publication Date
Mon Feb 01 2021
Journal Name
International Medical Journal
Use of immunohistochemistry and silver in situ hybridization (Sish) in evaluation of human epidermal growth factor receptor2 (HER2/neu) status in Iraqi patients with breast cancer
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Breast cancer is the commonest cause of cancer related death in women worldwide. Amplification or over-expression of the ERBB2 (HER/neu) gene occurs in approximately 15-30% of breast cancer cases and it is strongly associated with an increased disease recurrence and a poor prognosis. Determination of HER2/neu status is crucial in the treatment plan as that positive cases will respond to trastuzumab therapy. It has been used to test for HER2/neu by immunohistochemistry as a first step and then to study only the equivocal positive cases (score 2+) by in situ hybridization technique. The aim of our study is to compare between immunohistochemistry and silver in situ hybridization (SISH) in assessment of human epidermal growth factor (HER2/neu)

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Publication Date
Fri Jun 01 2018
Journal Name
Journal Of The College Of Languages (jcl)
Символичность деревни (( Джикора )) в лирике иракского поэта Бадра Шакера ас-Саййаба Symbolism of Jekor Village in the Poetry of the Iraqi Poet Badr Shakir as-Sayyab
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Аннотация

       В данном исследовании рассматривается символичность (( Джикора )) в лирике иракского поэта ас-Саййаба и перевода лирики o деревне и городе с арабского на русский. Русский читатель пока не имеет возможности познакомиться с стихотворениями Бадра Шакера.

Abstract

     The paper aims at making the Russian reader acquainted with the Iraqi Poet Badr Shakir as-Sayyab, and showing the effect of the village an

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Publication Date
Wed May 05 2021
Journal Name
Mustansiriyah Journal Of Sports Science
The Effect of Parachute Exercises and Cloud Pockets in the Water Ocean on Some Special Physical Abilities and the Achievement of 50-Meter Swimming for Youth
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ولاء طارق حميد, Mustansiriyah Journal of Sports Science, 2021

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Publication Date
Sun May 10 2015
Journal Name
Al-academy
The system and Disorder of shape and content in Interior Design Educational halls in the Ministry of Labor and Social Affairs (Analytical study): رجاء سعدي لفتة
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Dealing with this study to find a link principle in the construction of the system and disorder to the promise of the principles and concepts of intellectual and philosophical form and content in the act of interior design of the halls education in the Ministry of Labor and Social Affairs , which leads to a reaction design objective and functionally and to increase the strength of the effect on users of the coaches and trainers . As it informs the side cognitive and developmental study of the design of the interior spaces . So it was the goal of research in the detection of the nature of the system and disorder with Focus indicators and the type of regulations and privacy and what constitutes the framework of knowledge in order to explai

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Publication Date
Sun Feb 03 2019
Journal Name
Journal Of The College Of Education For Women
Relation of the Prophet Muhammad (May Peace be Upon Him) with the Byzantines from the Revelation to the Trance of the Mu'ta (8 A.H. / 629 A.D)
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Relations of the prophets Muhammad (May peace be upon him) with by
gantlines from the revelation to the trance of al-hdybya 6 A.H/610 A.C.
This research is concerned with Islamic historical events, particularly dunning
the time of the prophet Muhammad. It also explores relations of the apostle of god
with the rums and their allies the Arabs of Syria.
During the first years of revelation Muslim had achieved great victories
against the unbelievers. This accomplishm-ent had draw attention of some foreign
forces such as the Arabs of Syria, who became snapicions of this new and active
power. Their hostile attend was demonstrated by striking an economical siege against
Muslims. They attacked the nabtins merchants who

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Publication Date
Wed Jan 02 2019
Journal Name
International Journal Of Agricultural & Statistical Sciences
RESPONSE OF OLIVE SEEDLINGS TO HUMIC ACID AND INOCULATION BY FUNGI (TRICHODERMA SSP) AND THE INTERACTION OF THEM AND IRRIGATION BY SALT WATER ON VEGETATIVE GROWTH.
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Publication Date
Tue Mar 10 2020
Journal Name
Journal Of Research On The Lepidoptera
Study of the Association of Glucagon like Peptide-1 Receptors (GLP-1R) Gene Polymorphism and GLP-1 Hormone Levels in Type 2 Diabetics Patients in Iraq
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Publication Date
Wed Jun 30 2021
Journal Name
College Of Islamic Sciences
العربية Atheism A study in the most important foundations of atheism, and the most prominent suspicions of its advocates: دراسة في أهمّ مرتكزاته، وأبرز شبهات دُعاته
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Atheism is one of the most dangerous absurd doctrines that have swept the world in the modern era. Its strength lies in the bodies that stand behind it and adopt its ideologies which are accompanied by the tremendous media momentum of the theses of its supporters based on scientific and non-scientific levels. And since the denial of the existence of the Creator is the main focus and central point which the atheists based their view towards the universe, life and man, this humble research came to discuss the claim of the existence of the world by pure chance, and try to explain this scientifically through the theory of natural selection and survival of the fittest developed by the English biologist Charles Darwin. The resea

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