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.
In fact, the main idea of the manuscript is to take note of a branch of Islamic jurisprudence, which is the science of jurisprudential jurisprudence and this manuscript in its title and subject dealt to the men of knowledge of jurisprudence because of its ambiguity calls for thinking, and the brainstorming mood to test the intelligence of jurisprudence, Of students of knowledge jurisprudence. This section contains (14) questions starting with the question (26) and ending with (39) in the doors of pray.
This research is dealing with Islamic creed faith which would be the prophecy concept. The prophecies subject one greatest creed doors with God’s - high ranking – fortunate - messengers faith is one faith’s six pillars ; though no correct faith to adorer , until the adored completely faith in God’s angels , holly books
تقدمت احداث النصف الاخير من القرن الماضي من تاريخ العالم الاقتصادي صور كثيرة من التكتلات والاليات التعاونية والتشاركية القائمة على مصادر مختلفة للتجمع الاقتصادي من اهمها شكل الشراكات التجارية والاقتصادية ولها امثلة كثيرة على المستوى الاقتصادي الدولي ومنها الشراكة الاورومتوسطية التي تمثل منطقة حيوية في حسابات التبادل الدولي تجاريا وراسماليا ولكن هذا التشكيل التكتلي يحتاج الى وقفه تخص
... Show MoreThis study aims at investigating the partial Islamic rules of preparing and distributing cartoons in order to issue an overall Islamic rul. To reach an end, descriptive and analytical approaches are adopted to clarify the nature of cartoons and other related concepts. The researcher, as well, with reference to verses of the Holy Quran, tradition (Hadith) and Islamic jurists, adopts a deductive approach to issue Islamic rules related to the industry of cartoons and it's distribution
The study consists of three sections. The first Section addresses the following issues: Definition animation; and related wordy. The second Section: Origin of Cartoon's history and it's negative and positive effects. The third Section: Islamic rules related
An ancient iraq man lived under sever shadow which led him to be creative for providing instruments that ables him to keep his life with who are near to him, this matter led to appear humanity civilization
The aim of the research is to diagnose the methods of enhancing the value of citizenship in children through the interactive life process in educational institutions; the descriptive approach was used to achieve the objective by identifying social theories that corresponded to the national value or the theoretical principles of citizenship education. The study focused on educational activities and their role in establishing values, national educational philosophy in interactive activities, as well as the presentation of previous studies on the subject of citizenship, and maps of each of the strategies of active learning, skills in the process of interactive life in the field of education, Institutions that have the responsibility to prom
... Show MoreThis study aimed to reveal the degree possession of secondary teachers for effective teaching skills from the perspective of the teachers themselves in the Mafraq governorate .To achieve the objective of the study(45) teachers were chosen randomly, also a questionnaire composed of 17 was prepared spread over three skill areas (planning, implementation, evaluation).
After application of the tool on the sample results of the study showed that the degree of ownership ranged between medium and high.
The results showed no differences in the degree of ownership due to the variables of sex in favor of females and variable qualification for the benefit of people with qualified Master higher, while differences are attributed to the experien
ABSTRACT
The current research aims at highlighting the role of engagement of a sample of employees who works in some of the Iraqi private banks in terms of their interaction , commitment and enthusiasm and the positive impact they own regarding their job and devote their efforts to achieve the core purpose which is customer loyalty. The problem was expressed through a number of intellectual and practical questions.
In order to achieve the aim of the research the quantitative analytical method was used depending on a questionnaire as a basic tool to collect research data and the qualitative survey method depending on semi-structured interviews which were distrib
... Show MoreThe research aims to; identify the management of conflict as perceived by secondary school managers toward the directors of directorates of education in wassat province, identify functional performance as perceived by secondary school managers toward the directors of directorates of education in wassat province. Besides, explore the relationship between Conflict management and functional performance among the directors of directorates of education in wassat province. A descriptive approach deemed more appropriate with study design. As a tool to collect the data of current research, the author used a questionnaire. Spss tools were used for data analysis
The current research aimed to analyze the importance, correlation and the effect of independent variables represented by marketing variables on the dependent variable represented by local brand, through taking ENIEM as a model for this study, which represents a sensitive sector for the Algerian consumer. The results of the study evinced that the Algerian consumer has a positive image toward the brand ENIEM given marketing variables which has acquired considerable importance to this consumer. Also, the results of this study showed a statistically significant correlation between marketing variables and good perception toward the brand ENIEM, at the same time, the existence of a statistically significant effect for each of these variables o
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