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.
Summary of the research Family violence, its causes and effects on society (women and children). Search Goal: The current research aims to identify: 1. Causes of family and social violence (for children and women). 2. How to process. research importance : Domestic violence is a major and devastating problem that has a negative and direct impact on children in particular and women or mothers in general. The problem of domestic violence is linked to many factors and individual, social, economic, psychological and environmental variables, which makes one theory that claims to be inaccurate. It is difficult to understand the nature of family violence without linking it to some of the concepts related to it. The negative effects that may lead
... Show MoreThe searchers opinions are variant in determining the extent of impacting political risk in the host country on foreign direct investment decision. (Aharoni,1966) found, in his questionary study for group of foreign companies operating in India, that a political stability is one of the two most important factors, besides the market size, in the attraction of foreign investment, and its availability means that whether this specific country is good for foreign investment. On the other side, (Green and Benntt, 1972) are present a variant opinion to Aharonis opinion. They are reach to result state that a political instability do not impact on the general distribution of foreign i
... Show MoreEach school of Islamic jurisprudence has principles and rules upon which the diligent work in these schools is based. This is due to the view of sanctification of these rulings, as they are divine rulings. Therefore, the goal is to reach a ruling that represents the intent of the legislator as much as possible.
Hence, these schools of thought established rules for issuing fatwas with the intention of restricting the performance of a fatwa to the hands of those who are qualified for it and have met its conditions, so they gave priority to the most knowledgeable person over others to perform the fatwa. In the Hanafi school of thought, for example, the saying of Imam Abu Hanifa (may God have mercy on him) is given precedence over others,
Liquefied petroleum gas (LPG), Natural gas (NG) and hydrogen were all used to operate spark ignition internal combustion engine Ricardo E6. A comparison of CO emissions emitted from each case, with emissions emitted from engine fueled with gasoline as a fuel is conducted.
The study was accomplished when engine operated at HUCR for gasoline n(8:1), was compared with its operation at HUCR for each fuel. Compression ratio, equivalence ratio and spark timing were studied at constant speed 1500 rpm.
CO concentrations were little at lean ratios; it appeared to be effected a little with equivalence ratio in this side, at rich side its values became higher, and it appeared to be effected by equivalence ratio highly, the results s
... Show MoreObjectives: the study aims to findout the effectiveness of educational program concerning infection control guideline on nurses, and to find out the relationship between effectiveness of program and types of hospital unit, age, level of education, and years of experience of nurses. Methodology: A quasi-experimental design study was carried out in Baghdad teaching hospital in the wards, for the period of December, 20th 2013 to September, 30th of July 2014, The study samples is composed of (60) nurses who have been actually working in the medical ward, blood disease, psychiatric ward, and neurological war
Profiles of indignation and indiscretion in pre-Islamic poetry
The aim of the research is to identify the methods of achieving mental health from an Islamic perspective by using an analytical approach. The methods that were explained: strengthen the spiritual side to control the motives and emotion s overcome the whims of the soul, fear of God and treat mental illness from an Islamic point of view by recognizing self, assurance, foresight, learning and acquiring new trends. Conclusion: we can achieve mental health by optimism, not despair, the compatibility of the Muslim with himself and with others, Consistency, emotional balance, and patience in difficult situations. Islam has attributes that make an individual feels psychological security. Thus, all these elements achiev
... Show Moreفدهي قوس يف ةيداصتقلاا تادحولا ضعب يف نيرمثتسملا تارارق ىلع ءارضخلا ةبساحملا ريثأت ةسارد ىلا ثحبلا نم يلمعلا بناجلا تانايب عمج ىلع دامتعلااب ناثحابلا ماق ثحبلا فده قيقحتلو ، ةيلاملا قارولأل قارعلا نايبتسا ميمصت للاخ ىلا اهميدقتو يف ) نيرمثتسملاو , نييلخادلا نيققدملاو , نيبساحملاو , نييلاملا ءاردملا( ثحبلا ةنيع يف ةلجسملا تاكرشلا ضعب ةيلاملا قارولأل قارعلا قوس متو ثحبلا ناونعب قلعتت يتلا جئاتنلا جارخت
... Show Moreهدف البحث إلى معرفة تقويم الكفاءة الادارية لأعضاء اللجان المشرفة على التطبيقات التدريسية في كليات التربية بجامعة بغداد من وجهة نظر التدريسيين المشرفين عليها. اعتمد البحث المنهج الوصفي التحليلي. وتكون مجتمع البحث من (162) مشرفاً على التطبيقات التدريسية من كليات التربية/ جامعة بغداد، واختيرت عينة البحث بالطريقة العشوائية البسيطة، وبلغ عدد أفراد العينة (120) مشرفاً من الكليات آنفة الذكر. وتم بناء استبانة تضمنت (35)
... Show MoreThe research aims to measure the impact of managerial ability on income persistence for the industrial sector companies listed in the Iraqi Stock Exchange. The managers of these companies have managerial ability that may have an impact on achieving their objectives, setting their future policies and investing opportunities. Which may be reflected in many areas, including the level of profitability achieved and the possibility of continuity or sustainability? A model was used to measure managerial ability as well as a model to measure the income persistence in order to determine the relationship between them, The researchers found the absence of a statistically significant between managerial ability and the income persistence, which requi
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