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.
The research's purpose is to highlight the role that the Approach of the strategic decision play in universities' governorships, assuming that the universities' governorship are definite result that can be reached by modern universities through their active strategic decisions that they take based on the correct way of thinking and the appropriate entrance that achieve the strategic goal of these decisions. The current research depended on two curriculums necessitated by the research requirement which are the analytical description curriculum and compare curriculum, the field research was done in the (Baghdad and Al-Mustansiriya) universities, the samples that were selected were the president, assistants and members of the board'
... Show MoreAssyrian merchants established in the second millennium BC Assyrian commercial settlements in Anatolia, and these settlements had a great cultural value
استهدف البحث الحالي عزل بعض الجراثيم المرضية المشتركة وشملت Listeria monocytogenes و Salmonella spp. و Brucella abortus من أنسجة أعمار مختلفة من الأغنام العواسية المحلية . أخذت عينات من الكبد والكلى والدم ومن محتويات منتصف أمعاء ثلاث مجاميع عمرية من الأغنام العواسية من مجزرة الشعلة ببغداد شملت أعمار اقل من سنة واحدة وسنة إلى سنتين وأكثر من ثلاث سنوات . بينت النتائج عزل جراثيم Listeria monocytogenes و Salmonella spp. و Brucella abortus من كافة المجاميع
... Show MoreChekhov is well known and perceived in Arab countries. His stories and plays are very popular. They translated it into Arabic by different translators from different languages of the world Many of his stories require new translation solutions to achieve partial, if not complete, equivalence. Chekhov's works are a very difficult subject to analyze and interpret, which is explained by the fact that Chekhov's collections are constantly republished in foreign languages. It is impossible to preserve in translation all the elements of the original text containing historical and national details but, of course, the reader should have the impression that they represent the historical and national situation. When translating, it makes sense to prese
... Show MoreKHalaf Alhmar and what we get from his poem
الحمد لله خالق الأكوان، وبارئ الإنسان، عظيم الشأن والإحسان، والصلاة والسلام على خاتم الأنبياء والمرسلين الصادق الأمين محمد وعلى آله الطيبين الطاهرين وعلى من سار على هديه بإحسان إلى يوم الدين.
أما بعد ...
فالقرآن الكريم هو ذروة الفصاحة والإعجاز والسلامة اللغوية يمثل بقراءاتهِ القرآنية المتعددة: المتواترة والشاذة والآحاد أصلا أصيلا للنحو العربي يحتج به في إقامة
... Show MoreCare and attention to the structure in the sixties of the last century replaced the mark, and if the structure of Ms. pampered in research and studies, it has become the mark is also a spoiled lady .. But the relationship between the structure and the mark was not a break and break, but the relationship of integration, His themes are structural analysis, and these are intellectual themes that can not be surpassed in contemporary research, especially since semiotics have emerged from the linguistic inflection.
We have tried to distinguish between text and speech, which is a daunting task, as it seems that whenever the difference between them is clear and clear, we come back to wonder whether the text is the same discourse, and is
... Show MoreA mathematical model is developed which predicates the performance of cylindrical ion exchange bed involving comparing of axial dispersion model for cation exchange column with different assumption, this model permits the performance to predicate the residence time within the bed with the variance, axial dispersion and Pecklet No. to indicated deviation from plug flow model.
Two type of systems are chosen for positive ions first with divalent ions (Ca+2) to exchange with resin of Na+1form used as application in water softener units and second with monovalent ions (Na+1) to exchange with resin of H+1 form used as application in deionize water units &n
... Show MoreIslamic civilization derived its religious law from Quran and sunnah which took care of human as a benefit person in life and how it treat with it , and because the civilization takes care of human , it would take also in his health , manners ,body and this is the aim of Islamic civilization ,all religious emphasize on Islamic laws and on helping poor people or weakness one.
كانت المجالس وما ا زلت تعقد فػي البيػوت او الػدواويف الرسػمية ينػاقش فيهػا المجتمعػوف امػوره الخاصػػة والعامػػة وقػػد اخػػذت هػػذ المجػػالس عمػػ عاتقهػػا نشػػر عمػو العممػػا والقصائد الشعرية والاخبار السياسية والفكاهية وكاف يحضرها مختمؼ ش ا رئح المجتمع ساعدت هػذ المجػالس عمػ حفػظ التػ ا رث العربػي الاسػلامي مػف مثُػؿ وقػي خمقيػة لكػف بسبب الفػتف المذهبيػة التػي سػادت المجتمػع فػي القػرف الخػامس الهجػري
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