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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
Mon Feb 16 2026
Journal Name
Journal Of Studies And Researches Of Sport Education
دوافع اعتراض اللاعبين على قرارات الحكام في لعبة كرة القدم
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Publication Date
Mon May 01 2017
Journal Name
مجلة العلوم التربوية والنفسية
تطوير التعليم الجامعي في العراق على وفق الاتجاهات التربوية المعاصرة
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الملخص - يهدف البحث الحالي الى تعرف اتجاهات مدرسي ومدرسات المدارس الثانوية نحو التربية الجنسية والتعرف على اثر متغير الجنس (ذكور، إناث) في تكوين اتجاهات تدريس التربية الجنسية في التعليم - الثانوي فضلاً عن تعرف التطبيقات التربوية للتربية الجنسية في المدارس الثانوية ، إذ ان التربية الجنسية واحدة من أهم فروع التربية في الإسلام , وهي ذات أهمية في نشر الوعي الديني والصحي والتربوي والاجتماعي والثقافي في المجتمع

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Publication Date
Sun Jan 01 2023
Journal Name
مجلة الدراسات المستدامة
عاهة العقل في المفهوم العلمي الحديث واثرها على المسؤولية الجزائية
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Publication Date
Tue Aug 15 2023
Journal Name
Journal Of Economics And Administrative Sciences
Industries Based on the Petrochemical Industry in Iraq-Plastics Industry as a Model
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This study came to discuss the subject of industries dependent on petrochemical industries in Iraq (plastic as a model) during the period 2005–2020, and the study concluded that the plastic industries contribute to areas of advancement and progress and opportunities to deal efficiently with the challenges posed by the new variables, the most important of which is the information revolution. communications and trade liberalization, and this is what contributes to the competitiveness of these industries. And because the petrochemical industry in Iraq has an active role in establishing plastic industrial clusters and clusters of micro, small, and medium industries by providing the necessary feedstock for these industries in various fields

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Publication Date
Tue Oct 05 2021
Journal Name
Arab Science Heritage Journal
فلسفة الحضارة تطبيق على حضارة اليمن القسم الثاني – فن العمارة
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One of the bases of civilization is architecture; the philosophy of applying architecture on the ground is considered the base of it's growth

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Publication Date
Sun Oct 07 2012
Journal Name
Journal Of Educational And Psychological Researches
Core Thinking skills for the kindergarten children, according to some variables
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The study aimed at the following:

    Identify the differences in average scores core  thinking skills kindergarten children by variable sex (male - female), and by variable age (5.6 - 5.11).

To achieve this researcher adopted a standardized test of core thinking skills for the kindergarten children, which was built and standardization by the researcher Meyada Asaad Mussa 2012 . applied test on a sample of (814) ) boys and girls who were randomly chosen form,  from directorates of Baghdad Education Adoption of the proportional distribution.

    

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Publication Date
Sun Jun 02 2013
Journal Name
مجلة حولية المنتدى
الثورات العربية واثرها على معادلة التحولات الاقليمية في الشرق الاوسط
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يعد موضوع الثورات العربية من الموضوعات التي تحظى بأهمية كبيرة على المستويين الاقليمي والدولي، لذا فقد طورت مؤسسات الابحاث الدولية ومراكز صنع القرار السياسي والاستراتيجي الاطر والمفاهيم الجديدة في مجال السياسة الدولية، نظرا للتطورات التي شهدتها المنطقة العربية والتي استدعت التطرق الى مجموعة من المفاهيم النظرية ذات العلاقة الوثيقة بما هو حاصل في المنطقة العربية من تغييرات مما تطلب الامر البحث والتدقيق ومن

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Publication Date
Sun Dec 17 2017
Journal Name
Al-khwarizmi Engineering Journal
Helical Piles Embedded in Expansive Soil Overlaying Sandy Soil
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In this study, the behavior of square helical piles models (5×5) mm2 embedded in expansive soil bed overlaying a layer of sandy soil was investigated. The sand layer 200mm thickness was compacted into four sub layers in a steel container with diameter 400mm in size. Sandy soil layer was compacted into two relative densities 40% and 80%. The bed of ثءحties 40% and 80%.The bed of o00mm in size.Sandy soil layer was compacted into two relative densities 40% and 80%.The bed of oexpansive soil 300mm thickness was compacted into six sub layers on sandy soil layer. Model tests are performed with helical pile length 350mm, 400mm and 450mm and with helix diameter 15mm and 20mm. Also, one helix and double helix were

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Publication Date
Wed Dec 30 2015
Journal Name
College Of Islamic Sciences
The Imam Al-Zayla'i's Tracks on Imam Mardini   In his Banner Monument
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The study of these selected traces shows that what Imam Mardini did on Imam al-Zayla'i and enabled him to graduate the hadiths of the book (guidance and conclusions) as well as in choosing the novel closest to Murad the work and not as described by al-Zayla'i .... never deserves descriptions.

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Publication Date
Mon Dec 11 2017
Journal Name
Al-khwarizmi Engineering Journal
Experimental and Numerical Research on Flow-Induced Vibration in Valves
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Abstract  

All central air conditioning systems contain piping system with various components, sizes, material, and layouts. If such systems in operating mode, the flow in piping system and its component such as valves can produce severe vibration due to some flow phenomenon’s. In this research, experimental measurements and numerical simulation are used to study the flow-induced vibration in valves. Computational fluid dynamics (CFD) concepts are included with one-way and two-way fluid-structure interaction concepts by using finite element software Package (ANSYS 14.57). Detection analysis is performed on flow characteristics under operation conditions and relations with structural vibration. Most of

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