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.
A new generalizations of coretractable modules are introduced where a module is called t-essentially (weakly t-essentially) coretractable if for all proper submodule of , there exists f End( ), f( )=0 and Imf tes (Im f + tes ). Some basic properties are studied and many relationships between these classes and other related one are presented.
In this paper, the Azzallini’s method used to find a weighted distribution derived from the standard Pareto distribution of type I (SPDTI) by inserting the shape parameter (θ) resulting from the above method to cover the period (0, 1] which was neglected by the standard distribution. Thus, the proposed distribution is a modification to the Pareto distribution of the first type, where the probability of the random variable lies within the period The properties of the modified weighted Pareto distribution of the type I (MWPDTI) as the probability density function ,cumulative distribution function, Reliability function , Moment and the hazard function are found. The behaviour of probability density function for MWPDTI distrib
... Show Moreتتركز مشكلة البحث في ضعف كثير من المربين معلمين كانوا أو مدرسين في التعامل مع أخطاء المتعلمين في ضوء السنة النبوية مما يؤدي إلى تعلم غير منتظم، ومن أهم أسباب هذه المشكلة قلة الإطلاع على الأساليب العملية التي ينبغي أن يتعامل بها المربي مع أخطاء المتعلمين، ولا سيما الأساليب المستمدة من القرآن الكريم والسنة النبوية، وهذا ما لمسه الباحث واقعاً من خلال ممارسته لعملتي التعليم والتدريس لمدة خمس عشرة سنة، ومن خ
... Show Moreملامح من فكرة القانون الطبيعي في حضارة العراق القديم
هدف الدراسة معرفة التأثير السمي التراكمي للأعلاف الملوثة بالحنطة المتفحمة على أفراخ فروج اللحم .اجري هذا البحث في مختبرات الصحة الحيوانية التابعة لوزارة العلوم والتكنولوجيا استعمل 78 فرخاً لهذه التجربة قسمت إلى ستة مجاميع ربيت في أقفاص خاصة أعدت لهذا الغرض. تم تغذيتها يوميا على أعلاف ملوثة حسب برامج التغذية المتبعة , تمثلت المجموعة الأولى بمجموعة السيطرة والتي غذيت على عليقه تحوي الحنطة
المستخلص : هدفت البحث الحالي إلى بناء برنامج التدخل المبكر نموذج مجموعة المهارات الاجتماعية الفورد بيكر على وفق أساليب معرفية سلوكية، والتعرف على اثر البرنامج في خفض التوحد الافتراضي لدى الأطفال والتحقق من هذا الهدف وضعت الباحثة الفرضية الآتية لا توجد فروق ذو دلالة إحصائية بين متوسط رتب درجات أفراد المجموعة التجريبية في التطبيقين القبلي والبعدي على المقياس (CARS2-QPC). وقد اقتصر البحث الحالي على الأطفال من ذوي
... Show MoreAfter word war ll, the United States of America pursued a policy of containment aimed at preventing the Soviet Union from penetrating into the countries of the world, especially the regions of the Middle East, Therefore, it worked to emphasize the establishment of relations that include various political, economic and even cultural aspects, and focused its policy in his aspect on Turkey due to its geopolitical position. At a time when Turkey was undergoing developments at various levels and a change in govemment policy after the Demccratic Party came to power, which focused in its foreign policy on strengthening reltions with the West in general and the United States America in particular. The US government was the supporter of Democrat
... Show MoreIn many applications such as production, planning, the decision maker is important in optimizing an objective function that has fuzzy ratio two functions which can be handed using fuzzy fractional programming problem technique. A special class of optimization technique named fuzzy fractional programming problem is considered in this work when the coefficients of objective function are fuzzy. New ranking function is proposed and used to convert the data of the fuzzy fractional programming problem from fuzzy number to crisp number so that the shortcoming when treating the original fuzzy problem can be avoided. Here a novel ranking function approach of ordinary fuzzy numbers is adopted for ranking of triangular fuzzy numbers with simpler an
... Show MoreThe research aims to shed light on the financing structure, which is one of the important pillars of financial management in the commercial banking sector, which enhances its financial position through financing its various investments, which is one of the pillars of the successful economy of the commercial banking sector. in which country. The contents of the research variables, which were represented by the independent variable, financing structure, the dependent variable, and investment decisions in commercial banks, which the researcher tried to address, as the research began with a basic variable that depends on diagnosing the impact of the financin
... Show MoreThe aim of this study is to identify the effect of enabling the effectiveness of the work of the audit committees in private commercial banks and to identify the extent of awareness of the importance of empowerment in the work of these committees, especially as it is known that these committees, especially the inspection committees that go to private banks and from various sources including committees of the Central Bank of Iraq Committees of the Securities Commission and finally committees of the external audit offices, through an analysis of the determinants of empowerment in the performance of the most important work of the audit committees, namely: supervising the process of preparing reports, supervising the system of intern
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