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.
Abstract
The research study about the empowerment as an independent variable, in which details include (training and improvement, incentives, information sharing, trust, and delegation), has also focused on the performance of the service organization as a dependent variable in all dimensions which include (improve work efficiency, building the core competencies, focus on the beneficiary of the service, increasing the feeling of satisfaction of the employees, and the organizational support commitment). The research has been based on the opinions of a chosen sample of 75 service officers of the Ministry of Interior who work at the General Directorate of Traffic. The research problem has been identified by t
... Show MoreThis research deals with the risks of non-compliance and its impact on the profitability of Islamic banks. Research variables were measured and analyzed as the risk of non-compliance as an independent variableand profitability as a dependent variable. The profitability was measured by three indicators ((rate of return on assets, rate of return on equity and rate of return on Total deposits)) The results of the research showed a significant relationship between the risk of non-compliance and the rate of return on assets and rate of return on total deposits, while there was no relationship between the risk of non-compliance and rate of return on ownership. The research recommended that the senior management of the Islamic Investment Bank s
... Show MoreThis research investigates the meanings and significance of the verse and the concluded educational purports. The expression “And in the heaven is your provision” signifies the deism of Allah. This research introduces the what have been said by Quran Explainers about meaning of Heaven & Provision. It introduces also the meaning of the sentence “which you are promised” and its concluded educational purports. This research discuses the role of educational institutions as well as the family and mosques in connecting Muslims and their children with the promise given by Allah.
Provision is guaranteed for all people if moral and material causes have been considered.
Key Words:
Purports – Educational – Co
... Show MoreThroughout this paper, three concepts are introduced namely stable semisimple modules, stable t-semisimple modules and strongly stable t-semisimple. Many features co-related with these concepts are presented. Also many connections between these concepts are given. Moreover several relationships between these classes of modules and other co-related classes and other related concepts are introduced.
يهدف البحث لمحاولة دراسة واقع ادارة الوقت لدى عينه من رؤوساء الأقسام العلمية في كليات ومعاهد هيئة التعليم التقني اذ بلغ حجم العينة (47% ) فرداً تم احتيارهم عشوائياً من (15) كلية ومعهد موزعة في (69 من محافظات القطر وبلغ حجم عينة البحث (17%) من عدد رؤوساء الاقسام العلمية في الهيئة ، ولغرض جمع البيانات تم أعداد استمارة استبيان تمت صياغتها بشكل يؤمن توثيق الوقت الفعل
... Show Moreاستخلص عامل التلزن من E. faecalis EM1 بعد تكسير بالكرات الزجاجية والترسيب بالكحول الاثيلي , واجري فحص التلزن وقياسه لمستخلص لخلايا E. faecalis مع انواع من البكتريا السالبة لصبغة غرام تضمنت Escherichia coli و Klebsiella pneumonia و Serratia marcescens و Pseudomonase aeruginosa و Salmonella typhi , بينت النتائج ان اعلى نسبة تلزن للخلايا والمستخلص تكون مع بكتريا ٍK. Pneumonia حيث بلغ66.5 % مقارنة بالسيطرة79.5 % , واوطا قيمة للتلز
... Show MoreThis study was carrid out to produce animal gelatin from chicken skin. Gelatin was prepared by the chemical method using HCl 2% and extraction at the temperature degree 70, 80, 90 c° and at the period of time 4, 6, 8 hours, calculated the yield, functional and sensory characteristics were measured at. The result also demonstrated that the produced gelatin have good functional properties in solubility, viscosity, gelling capacity, water absorpation, lipid binding, emulsification. viscosity was higher in gelatin prepared at 70 c° and period of extraction 8 hours and reached 1.0846 cp. Gelatin prepared were featured by highe gelling capacity at 1% for all extraction time periods. The produced gelatin was characterized by good sensory qual
... Show Morethis research has discussed some social phenomena in lslamic society through the book of the unique contract of lbn abed rabbi al-andalusi. ln the beginning , he gave an account of his life.
Parmi les oeuvres d'Albert Camus, qui s'éloignent un peu de sa
tendance générale qui traite les thèmes de l'absurde ,du néant et de la
question de la mort , on trouve son recueil "l'Exil et le Royaume" 1957
qui contient six nouvelles qui sont d'une invention moins épouvantable
(le Renégat , la Femme adultère , les Muets , le Pierre qui pousse , l'Hôte
et Jonas). Ces nouvelles , à l'exception du "Renégat" , ne provoquent pas
les questions philosophiques et dialectiques qui dominent la plupart des
oeuvres d'Albert Camus , Mais ces nouvelles traitent tout simplement la
question d'homme exilé dans son existence et sa recherche perpétuelle
de son royaume.
The research problem revolves around the Iraqi public's use of digital television and cinematic websites، and their importance to the academic study and society، as it examines the public's relationship with these websites، usage habits، and the reasons for their interaction with them. And for the prevalence of this phenomenon of use، it was necessary to address the intensity، intentionality، and timing of use to theoretically root the subject of the study، which is one of the modern studies in Iraq and the Arab world. The survey approach، where the research was based on the theory of uses and gratifications that confer positivity and activity on the mass media audience.
The researchers designed
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