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.
إن المعتقدات الخاصة بالسحر والعرافة قديمة جدا كون الإنسان عرف الكثير منها ومارس أنواع من الأساليب السحرية منذ أقدم العصور ومن أكثر العلوم التي حرم تعليمها ونشرها هو علم السحر والسيمياء أو الكيمياء والشعبذة والحيل . ومع ذلك عرف السحر من قبل سكان بلاد وادي الرافدين ولاسيما في بابل والسحر يمثل أقدم مرحلة في تطور العقل البشري .
Under major developments in the field of business environment, the use of traditional budgets do not fit into these developments and adversely affect the future performance of the enterprises, which requires the transition to modern systems in the preparation of the budgets of activity based budgeting ABB because they provide a more accurate and objective estimates based on scientific foundations and practical avoided arising from the use of traditional budgeting problems, Where ABB is working better allocation of resources based on the activities of an enterprise and this positively affects the performance of the administration for the purpose of evaluating their performance according to responsibility centers and decision-making govern
... Show MoreTh paper scientifically deals with the Syrian crisis events erupted in 2011 using the historical descriptive and analytical approaches. The importance of the paper comes from the serious crisis that occurred in a region rich of historical crises, and natural resources attracting the attention of the major countries. The paper aims to show the Syrian crisis, its importance to Russia, the United States, and the regional countries, its impact on Russia economically and politically after the intervention, and Russia’s achievements on a global level holding the influential power on international decisions and other global events. The new Russian strategy has proven its worth in preserving its strategic interests as it could help the Syrian
... Show Moreتهدف الدراسة إلى معالجة مشكلة تداعيات الأزمة المالية العالمية على أداء الاستثمار الأجنبي المباشر لكل من تونس والجزائر، ومن خلال ما يفرضه النظام العالمي المعولم فانه من المؤكد أن الاستثمارات الأجنبية المباشرة لدول الدراسة ستتأثر سلبا بهذه الأزمة لكن بدراجات متفاوتة نظرا لخصوصية كل اقتصاد ودرجة ارتباطه بالاقتصاد العالمي . وقد خلصت الدراسة إلى أن الأزمة المالية العالمية غيرت خارطة توزيع الاستثمارات الأجنب
... Show Moreالخلاصة ر ة التبخي رة بطريق ة المحض الرقيق ZnSe درس تأثير التلدين الحراري في بعض الخواص التركيبية والبصرية لأغشية ود ة حي لال تقني ن خ اعتين م دة س 373,473 ) م )K راوح رارة تت درجات ح ة ب 550±20 ) والملدن ) nm مك راري بس الح ة الاشعة السينية درست الخواص التركيبية واظھرت بأن الاغشية تمتلك طبيعة بلورية (تركيب مكعب). وبعد اجراء المعامل واص ا ا
... Show MoreThe paper deals with claims in construction projects in Iraq and studies their types, causes, impacts, resolution methods and then proposes a management system to control the impacts of claims. Two parts have been done to achieve the research objective (theoretical part and practical part). The findings showed that the main types of the claims are extra work claims, different site condition claims, delay claims and the main causes of the claims are variation of the orders, design errors and omission, delay in payments by owner, variation in quantities and scheduling errors. The claims have bad impacts on the cost by increasing (10% to 25%) and also on the duration of the project by increasing from (25% to 50%).The negotiation is the main
... Show MoreObjective: To identified the relationship between general and spinal Anesthesia upon breastfeeding and (demographic &reproductive) : Comparative Study. Methodology: The present study employs a descriptive comparative design held at the labor and delivery room , operational room for cesarean section and maternity word in maternity department at Al Emamain Al Kadhamain Medical City in Baghdad city. Data collection was initiated on 2nd January to end of March /2014. Purposive sample consisted of (150) mother and her neonate, The study sample divided into three groups:(50) under general anesthesia , (50) under
The study area is witnessing divergence where I am North wind North East wind as we find that the north wind is getting replicated as we move from the south, The reason can be attributed to the nature of the surface of the region, with at least repeat this wind the northern region to the presence of mountain ranges, while we find that energizes the surface in the center and south helped to increase repeat this wind gusts, It also finds that the North wind East prevail in the northern region and least replicated as we move from the north to the south and to the fact that North stations are within blowing this wind sites for the circles near the display of high pressure located centers to the north-east, north and distancing itself from pa
... Show MoreArtificial pancreas is simulated to handle Type I diabetic patients under intensive care by automatically controlling the insulin infusion rate. A Backstepping technique is used to apply the effect of PID controller to blood glucose level since there is no direct relation between insulin infusion (the manipulated variable) and glucose level in Bergman’s system model subjected to an oral glucose tolerance test by applying a meal translated into a disturbance. Backstepping technique is usually recommended to stabilize and control the states of Bergman's class of nonlinear systems. The results showed a very satisfactory behavior of glucose deviation to a sudden rise represented by the meal that increase the blood glucose
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