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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
Sun Jan 05 2020
Journal Name
Annals Of Tropical Medicine And Public Health
THE EFFECT OF THE TRAINING CURRICULUM ON DEVELOPING KINETIC AND TRANSITIONAL RESPONSE SPEED, ACCURACY OF THE STOPPING WALL PERFORMANCE, AND DEFENDING THE STADIUM IN VOLLEYBALL
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Publication Date
Wed Nov 16 2022
Journal Name
Res Militaris
Public Relations Employment of Foreign Oil Corporate Social Responsibility Programs Operating in Iraq Analytical Study of Programs from 1/1/2013 to 31/12/2021
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This research addresses the employment of public relations for foreign oil corporate social responsibility programs operating in Iraq. It is a study of the programmes of six petroleum companies operating in Basra Governorate, which were selected for research as the highest production of Iraqi oil, as well as its enjoyment of strategic oil stores in Iraq.It contains the largest oil fields operatedby major international companies. This study aims at a number of objectives, notably the following:1)Recognize the most prominent corporate social responsibility projects and initiatives the companies have introduced to the local public.2)Investigate the extent to which the Iraqi publ

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Publication Date
Wed Nov 16 2022
Journal Name
Res Militaris
The contents of the campaign (your health is a trust) of the World Health Organization in Iraq to prevent infection with the Covid 19 virus
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This study examines the analysis of the contents of the international public relations campaign in confronting the Covid-19 virus, which was taken from the (Your Health is a Trust) campaign for the World Health Organization, Iraq office.The research problem revolves around a main question that is, what are the axes of the campaign (Your Health is a Trust) established by the World Health Organization (Iraq office) in the prevention of Covid 19 virus?From this main question, several sub-questions emerged that this study answered on their Facebook page, and the communication activities of the Covid-19 awareness campaign. In the content analysis form, as this form included a number of main themes and main categoriesthat were adopted in analyzin

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Publication Date
Sun Feb 15 2026
Journal Name
Journal Of Baghdad College Of Dentistry
Effects of time delay and tension system application after final flask closure on the vertical displacement of acrylic and porcelain teeth in maxillary complete dentures
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Background: The displacement of artificial teeth during complete denture construction presents major processing errors in the occlusal vertical dimension which were verified at the previous trial denture stage. The aim of this study was to assess the effect of delay in processing after final flask closure and tension application on the vertical acrylic and porcelain teeth displacement of complete dentures constructed from heat cured acrylic and the results were compared with the conventional processing method. Materials and methods: forty samples of identical maxillary complete dentures were constructed from heat polymerized acrylic resin. These samples were subdivided into the following experimental subgroups in which each subgroup contai

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Publication Date
Fri Jan 31 2020
Journal Name
Indian Journal Of Forensic Medicine & Toxicology
A comparative study to evaluate the effect of ultrasonic agitation on push-out bond strength of three root-end filling materials: An in vitro study
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Aim: To evaluate the effect of ultrasonic agitation for retrograde biodceramic root repair, MTA and biodentine filling materials on push-out bond strength to dentine walls. Materials and Methods: Ninety extracted human teeth with single straight roots were selected randomly. After disinfection and cleaning, the coronal portions were sectioned to standardize the root canal length at 15mm. following root canal shaping, obturation and apical roots resection, retrograde cavities were prepared. Teeth were categorized depending on the filling material used into three groups, 30 teeth each. Group A filled with bioceramic root repair material, B with MTA and C with Biodentine material. These groups were divided in to three subgroup (n= 10). Subgrou

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Publication Date
Tue Oct 18 2022
Journal Name
Revista Iberoamericana De Psicología Del Ejercicio Y El Deporte.
The effect of HIIT exercises on some physiological and physical indicators in reducing competition anxiety and performance of some offense skills for young Badminton athletes
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The research aimed to use HIIT exercises, and to know the effect of HIIT exercises on some physiological and physical indicators of the young badminton players, and to identify the degree of competition anxiety and the performance of some offense skills among the young badminton players. The research community (the young badminton players), the research sample and its selection method (the research sample was chosen by the intentional method (8) badminton player from the Athwari Club), the scientific method (the experimental method with pre and post tests), measurement tools: physiological tests (high and low blood pressure) , pulse, and physical exams (explosive force of arms and legs) and the offense skills and the scale of competition an

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Publication Date
Sun Feb 15 2026
Journal Name
Iraqi Journal Of Humanitarian, Social And Scientific Research
The effect of special exercises with training tools in teaching the skill of circular sloping on the parallel apparatus in men's artistic gymnastics
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Publication Date
Sun Feb 15 2026
Journal Name
Journal Of Physical Education
The Effect of Special Exercises Using with Assisting Aids According to Differentiated Learning (Visual Learners) in Learning Crescent Kick in Fighters of Specialized Taekwondo schools
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Publication Date
Wed Jun 21 2006
Journal Name
College Of Languages
A Semantico-Syntactic Study of Verbs of Eating in English with Reference to Arabic دراسة دلالية نحوية لأفعال الاكل باللغة الانكليزية مع الاشارة الى العربية
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This study is an attempt to investigate the semantic and syntactic features of English and Arabic verbs of eating. After surveying the literature on the meaning of verbs in both languages, three chapters address the major issues in this subject. The problem to be investigated in this study can be summarized in the following points: 1. The overlapping of semantic and syntactic features within the category of verbs of eating in English and Arabic. 2. Which semantic classification is more accurate and through which method? 3. Which classification, the semantic or the syntactic, is more important? This study hypothesized the following: 1. The semantic features are more influential in analyzing the category of verbs of eating than the syntactic

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Publication Date
Mon Jan 01 2018
Journal Name
World Journal Of Dentistry
Differential Expression of Toll-like Receptor 4 and Nuclear Factor κB of Primary Rat Oral Keratinocytes in Response to Stimulation with<i>Fusobacterium nucleatum</i>
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