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.
An experimental study is carried out on the effect of vortex generators (Circular and square) on the flow and heat transfer at variable locations at (X = 0.5, 1.5, 2.5 cm) ahead of a heat exchanger with Reynolds number ranging from 62000< Re < 125000 and heat flux from 3000 ≤ q ≤ 8000 W/m2 .
In the experimental investigation, an apparatus is set up to measure the velocity and temperatures around the heat exchanger.
The results show that there is an effect for using vortex generators on heat transfer. Also, heat transfer depends on the shape and location. The circular is found t
... Show MoreThe aim of this investigation was to study the impact of various reaction parameters on wastewater taken from Al-Wathba water treatment plant on Tigris River in south of Baghdad, Iraq with sodium hypochlorite solution. The parameters studied were sodium hypochlorite dose, contact time, initial fecal coliform bacteria concentration, temperature, and pH. In a batch reactor, different concentrations of sodium hypochlorite solution were used to disinfect 1L of water. The amount of hypochlorite ions in disinfected water was measured using an Iodimetry test for different reaction times, whereas the Most Probable Number (MPN) test was used to determine the concentration of coliform bacteria. Total Plate Count (TPC) was utilized in this study to
... Show MoreThis research is based on the idea of showing the extent to which the public relies on satellite channels as sources for news of the demonstrations in Iraq .This was the essence of the problem for which the researcher set several goals, including knowing the public’s confidence in the news of these satellite channels and comparing them with others. The researcher chose an available intended sample of (117) respondents in Baghdad - Karkh and Rusafa by adopting the survey method and applying a questionnaire form and the theory of media dependence for the period from 15/11/2019 to 1/1/2021 . By using statistical methods, the researcher reached many results, the most important of which are: Satellite channels are a source for 79% of the pu
... Show MoreThe current problem is summarized in what is called the development failing experience
in comprehencing the studying materials , so the students will feel worry of repeating failure
in he future , so he would seek blind keeping on heart for the studying material bond this isbad due to the forgetting in the future , one side of thesis research problem is that there is
many contradictory researches result in relation to the learning styles which impose the
nessicity to find results lessen this contradiction . the importance of the research is
summarized in the importance of the subject under the study , in that the researcher ( as in
her knowledge ) did not find a thesrs tackling the subject of the distinguished students
ان استمرارية دول منطقة الشرق الاوسط بالسعي نحو حيازة القدرات النووية تعد في حد ذاتها كابحاً او محدداً اساسياً حيال انشاء منطقة خالية من اسلحة الدمار الشامل، فضلا عن عدم توافر الضمانات الكفيلة لا رساء مقومات الامن فيما بين دول الشرق الاوسط، مما ينعكس بالمحصلة سلبا على مقتربات الامن الاقليمي والدولي لمنطقة الشرق الاوسط، وبما يؤدي بطبيعة الحال الى ان تنتهج دولها سياسات امنية متعارضة ازاء بعضها البعض ضمن اطار
... Show MoreTransparency is considered as one of the modern administrational terms which started to be largely used in the last period, because of its political, economical, social and cultural dimensions. As well as, its administrational dimension that helps to create a work environment marked by order and flawless from wrong practices and Transparency provides credibility to the sides that pursue it in their practices, till it became a mean of distinction. The choice of the subject of the research ((Transparency and its effect on quality of message announcement of Insurance company)), which aims to measure the effect of Transparency on the announcement message quality of Insurance services. Came in the time when many countries tend to depend on se
... Show MoreCorpus linguistics is a methodology in studying language through corpus-based research. It differs from a traditional approach in studying a language (prescriptive approach) in its insistence on the systematic study of authentic examples of language in use (descriptive approach).A “corpus” is a large body of machine-readable structurally collected naturally occurring linguistic data, either written texts or a transcription of recorded speech, which can be used as a starting-point of linguistic description or as a means of verifying hypotheses about a language. In the past decade, interest has grown tremendously in the use of language corpora for language education. The ways in which corpora have been employed in language pedago
... Show Moreان الاستثمار في راس المال البشري االمتمثل بالقوى العاملة مرتبط بالتنمية المستدامة وان الانسان هو الثروة الحقيقية للأمم. والانفاق على التعليم تكون له انعكاسات ايجابية على الواقع الاقتصادي ووالاجتماعي والسياسي. ومن اجل تحديد العوامل المؤثرة على القوى العاملة تم تحليل العلاقة السببية (كرانجر) بين القوى العاملة و عدد الخريجين والسكان وعدد الجامعات والناتج المحلي الاجمالي والانفاق على االتعليم العالي ، بوجو
... Show MoreThe aim of the present research is to know the following :
What are the Science and technology, society and environment issues (S.T.S.E) which included in the content of the chemistry Book third grade intermediate ?
And to achieve the objective of search The two researchers has prepares a list of science and technology, society and environment issues (STSE) consisted of (9) key issues namely ( Air quality and the atmosphere, sustainable development, water security, health and preventive security, mineral resources investment, pollution of various kinds, energy, food industry, production of weapons technology ) and from which (70) sub-issues emerge, Arbitrators competent agreement has been received . Then, the two re
... Show Moreان المشكلة البحثية تتحدد في ان المهام والادوات التي تملكها السلطة التنفيذية، من الصعوبة تركها من دون رقابة، والرقابة والتقييد ياتي من اطراف عدة، واهمها: السلطة التشريعية، فالبرلمان في العراق منح اختصاصات للنظر في اعمال واداء السلطة التنفيذية بما يضمن تقيدها بالدستور الاتحادي. والهدف من هذا البحث هو الاشارة الى اهمية الاختصاصات الممنوحة للبرلمان العراقي، بما يضمن التاسيس لدولة القانون، اي وجود مرجعية قانو
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