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.
يعد موضوع السلام ونبذ العنف وقبول الآخر من الموضوعات الحیویة التي اخذت تصعد على سلم الأولویات فى نهایات القرن الماضي وبداية الالفية الجديدة ، ولازال یلقى الاهتمام الكبیر من الدول نظراً للنجاحات التي حققها السلام من حیث الإعمار والمساعدة فى رسم الخطط التنمویة طویلة المدى، وتنبع ألاهمیة من صیاغة الوجدان للإنسان العراقي عبر نشر ثقافة السلام.
The subject of the research is the collective words = Jawami Al-kalim. Those who wants to know this subject to be aware of the benefit of "Al-Ejaz and Al-iktisar " and to cover the Rhetoric of signal should think carefully the abbreviations because the collective words because it is the a face of the important faces represented by the abbreviation of shortness as it is and old subject where it can be found in every source of rhetoric books which were old or modern. But what attracts attention is that this subject did not take all its range in study in the way that discover its beauty concerning style, words, sentences and meaning. This cause
... Show Moreالجمود المؤسسي واثره في فشل التنمية السياسية : محاولة من اجل بناء مفهوم
Contemporary art has been widely affected by technology, and ceramics production is no exception. As an ancient art that originates from clay and other humble materials found in the ground, ceramics is considered one of the most adaptable art forms. Once it is realised how flexible ceramics as a material is, it can be easily altered into endless forms and shapes. Therefore, it is vital for ceramics practitioners to find a relationship between this wonderful material and the media of contemporary art, culture and modelling software or technology in general so that they can take their deformable art pieces to a whole new level. Such a relationship is worth investigating. Thus, for the purposes of this research, several ceramic pieces were
... Show MoreUndesirable behaviors among students are consider one of the danger problems threating societies and educational and scientific institutions of countries because its one of the way to express aggression , so the instructors consider one of the most important people could be trust their evaluation and logical view , therefore the present research aimed to :
- Recognize undesirable behavior in students of University by the view of their instructors
- Measure the level of undesirable behavior in students of university by the view of their instructors
- Recognize more common undesirable behavior in students of University by the view o
The research deals with Iraq's position of the Lebanese civil war and the Efforts made by Iraq in order to stop the bleeding of this war, the research also deals with the nature of regime in Lebanon and the developments that preceded the war and the positions of the internal and external competing forces, as weu as handling the Iraqi Syrian disagreement and it's impaet on the situation of Lebanon and the war developments.
The research focused on the Iraq's position towards the externd proposed solutions to solve the Lebanese civil war.
The caliphs of Tukalti Able III (Tiglath-pileser) sustained their extension and enclosure strategy whom they were highly talented with outstanding potentialities. They performed their political plan of extinguishingthe ambitions of the upper class and the internal uprisings. The Assyrian Kingdom, in the eighth century BC reached to the highest degree of expansion that no other ancient Iraqi kingdom had reached It dominated the whole near eastbut it did not have absolute command due to the subsequent uprisings that out bursted in the regions attached to the kingdom near the borders.
هدف البحث التعرف على الذكاء الروحي لدى عينة من طلبة جامعة بغداد فضلا عن التعرف على الفروق بين الطلبة في الذكاء الروحي وفق متغير النوع ( الذكور- الإناث) ، ومتغير التخصص الدراسي ( علمي – إنساني) ومتغير المرحلة الدراسية ( المرحلة الأولى-المرحلة الرابعة) تألفت عينة البحث من (300) طالباً وطالبة ، وتم تطبيق - مقياس الذكاء الروحي وهو ( من إعداد الباحثة) ، وقد اسفرت نتائج البحث عن:--إن طلبة جامعة بغداد( عينة البحث) تمتعوا بمست
... Show MoreExpired drug Metoclopramide was investigated as an antibacterial corrosion inhibitor for carbon steel in 0.5M H3PO4 solution using the electrochemical method at 30oC and 60oC. The results showed that this drug is an efficient inhibitor for carbon steel and the efficiency reached to 82.244 % for 175 ppm at 30oC and 76.146% for 225 ppm at 60oC. The adsorption of drug on carbon steel surface follows Langmuir adsorption isotherm with small values of adsorption-desorption constant. The polarization plots revealed that Metoclopramide acts as mixed-type inhibitor. Some parameters of inhibition process were calculated and discussed. The surface morphology of the carbon steel speci
... Show MoreThe research endeavored to single out the problems, difficulties and obstacles faced by the members of the staff of Baghdad University. The importance of research, then, depends upon the importance of the university lecturers and their vital role in developing the society. The goals of the research are summarized in knowing the main problems facing those university lectures and relative weight of these problems in addition to identifying the differences in their opinions to these problems according to the specializations variables (scientific, humanistic), the gender (males, females) and the Scientific grade (professor, assistant professor, lecturer, assistant lecturer.
The research is limited
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