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
Objective(s): To evaluate the level of Psychological Empowerment among Nurses as perceived by their Point of View, and identify the differences in nurses' Psychological Empowerment with regard to age, gender, graduation level, and years of work employment.
Methodology: A descriptive analytic design was conducted on nurses in Psycho-social health Units in Primary Health Care Centers in Kirkuk Governorate, to achieve the objectives of the study. A convenient (non-probability) sample of 84 nurses was selected. The data collected through self-report method for the period from 25th August to 10th October 2022. The questionnaire was adopted
... Show MoreThis study aimed identify the teachers of sociology. In the development of creative thinking. I have students in middle school .llvra literary. In schools. Second Karkh From the perspective of the teachers and the students themselves numbered (41), a teacher and a school. As The study population encompassed of some students the fourth and fifth preparatory stage in the Karkh II schools, totaling 200 male and female students. As the study sample were consisted of (7) and a teacher (34) and accented (85) of male students (115) were female student The researcher the questionnaire which consisted of (39) items And to achieve the objectives of the study it was ascertained sincerity And stability. And
... Show MoreThe research deals with the collection of Allamah Ali al-Nuri’s guidance on readings, which he included in his book (Ghaith al-Naf’ fi al-Qira’at al-Sabe) and singled out it in a separate study, commenting on what needs to be commented and a statement of his guidance, and it consists of an introduction, and three chapters, the first: for the translation of Allamah Sfaxi, and the second: To define the science of guidance, its origins and authorship, and the third: to mention the readings that Al-Safaqi drew from Surat Al-An’am to the end of Surat Hud, followed by the conclusion of the research, then the index of sources and references, and I followed the inductive-analytical method in the research.
Among his most important
... Show MoreThis research is a critical methodological study deals with some Quranic verses abrogative,abrogated.
by Ibn al-Jawzi (may Allah have mercy on him) in his book (Tafseer Zad al-Maseer) inin Surah Al-Baqara the in the holy Quraan.
The aim of this study to identity using Daniel's model and Driver’s model in learning a kinetic chain on the uneven bars in the artistic gymnastics for female students. The researchers used the experimental method to design equivalent groups with a preand post-test, and the research community was identified with the students of the third stage in the college for the academic year 2020-2021 .The subject was, (3) class were randomly selected, so (30) students distributed into (3) groups). has been conducted pretesting after implementation of the curriculum for (4) weeks and used the statistical bag of social sciences(SPSS)to process the results of the research and a set of conclusions was reached, the most important of which is t
... Show MoreThe research aims to measure the impact of the quality of the audit on the Earnings Quality, for a sample of private joint stock companies listed on the Iraq Stock Exchange, as the research sample included (14) private and listed joint stock companies in issuing their financial statements for the period from (2010-2018), as well as companies The audit offices in charge of auditing these companies, which number (18) companies or an audit office, and the research relied on two main models for measurement, as the first model reflects the assumed relationship between independent variables represented in the characteristics of external audit quality and measuring the extent of its impact on the dependent variable represented in the Ea
... Show MoreDiscussion dealt with the independent factors critical such us success factors and the risk management process, and dependent factor of the general competitive strategies, and began searching the dilemma of thought, as crystallized his problem in the light of the need for organizations to philosophy and deeper vision of a more comprehensive understanding of the concept of risk management, assessment and management to maximize the competitive strategies of public, and on this basis, Search queries formulated problem of the gap between the knowledge-based intellectual propositions farcical for the purposes of interpretation of the relationship between the critical success factors and the risk
... Show MoreThe research aims to determine the effectiveness of auditing in light of the relationship between the governance of investment policy and the cost of debt in companies listed on the Iraqi Stock Exchange. The problem of the research is to raise the question about the effect of the governance of investment policy and the cost of debt on the effectiveness of auditing and auditors. During the research, the most important of them were: the existence of an impact relationship on the effectiveness of auditing through the relationship between the governance of investment policy and the cost of debt. The companies listed in the Iraqi Stock Exchange lack an effective proposed guide or framework dealing with the governance of investment policy desp
... Show MoreThe collected premiums and the compensations paid are among the main variables that have a prominent role in determining the level of financial solvency of insurance companies, as the higher the financial solvency of the insurance company, the more attractive it is to the target audience to acquire the company's insurance services.
Hence the importance of the issue of the solvency of insurance companies, as it is one of the critical matters on which the effectiveness of the insurance company and its continuation in the labor market depend.
In this research, we try to clarify the role of collected premiums and compensations paid in determining the level of operational solvency of t
... Show MoreThe aim of this research is to construct a cognitive behavior program based on the theory of Meichenbaum in reducing the emotional sensitivity among Intermediate school students. To achieve the aims of the research, two hypotheses were formulated and the experimental design with equal groups was chosen. The population of research and its sample are determined. The test of negative emotional sensitivity, which is constructed by the researcher, was adopted. The test contains (20) items proved validity and reliability as a reliable test by presenting it to a group of arbitrators and experts in education and psychology. An educational program is constructed based on the theory of Meichenbaum. The test was applied to a sample of (60) second i
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