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

The theater benefited from the concept of (hypertext) to create different virtual worlds. The four chapters of the research included the first (methodological framework), the second (theoretical framework) came in two sections (hypertext, its concepts and applications) and (hypertextual space in theatrical performance), and the investigations resulted in indicators, including:
1- Hypertext is interacting interactively, but it is organized by correlation as a basic feature that defines it with different manifestations.
2- The hypertext combines the word with other formative elements that reduce a set of tagged information (word, image, light, shadow, color, number).
In the third chapter (research procedures) (Lord play) was

The research aims to identify the requirements of banking Entrepreneurial in Saudi Arabia and Singapore, where banking Entrepreneurial is an important way to lead employees to acquire the experience and knowledge required by the banking environment, so we note the pursuit of the banking management to acquire new technology proactively and distinctively to compete with others through the introduction of modern technologies that help senior management to develop new banking methods adaptable to the surrounding environmental changes. The problem of research highlights the extent to which the requirements of banking Entrepreneurial are applied in Saudi Arabia and the Republic of Singapore and will be addressed through three investigation

Medication safety and effectiveness can be improved through interprofessional collaboration. The goals of this study were to measure the degree of physician–pharmacist collaboration within Iraqi governmental healthcare settings and to investigate factors influencing this collaboration.

The folkloric games widely considered as expressional forms of nations culture and their environment which can be an important element in Iraqi child theatre shows. For its moral and habits relation to the needs of children which present an effective mean to preserve the true identity of the society character and moral. The research concluded many topics considering the importance of folkloric games in the Iraqi child theatre, the first chapter studied the problem , the necessity , the aim of the research to clarify the importance of folkloric games in Iraqi child theatre, the second chapter is the theoretical part of the research that studied the concept of folkloric games and its implementation in Iraqi child theatre . the third chapte

Abstract:

The great expansion of teaching skills requires finding ways and methods to help teachers acquire experiences of all kinds. The researcher found in the subject of the teaching skills for teachers in public and private schools a fertile field for conducting a study that enables the measurement of these skills. Thus, the study aims to identify the skills of teaching lessons for teachers, the difference in teaching lesson skills for teachers according to the years of service, the differences in teaching lesson skills for teachers according to the specialized teachers and non-specialized teachers, the differences in teaching lesson skills for teachers according to the public and private school. The

The textile industries play a prominent role in reviving the national economy, but they are currently suffering from several problems, including the high costs of their activities, the low quality of their production processes, and accordingly, the hexagonal diffraction approach came to help analyze production activities to determine which of them are the most expensive and do not have a benefit or cost greater than Its benefit as a result of waste and losses that accompany its implementation. And by applying to the Iraqi mechanical carpet factory, the research reached several conclusions, the most important of which is the presence of several sources of waste and loss, such as activities and operations that do not add value, whi

 The current research (technical mediator in contemporary Iraqi painting) dealt with the concept of technical mediator in contemporary arts and its role in the qualitative transformation in art, the diversity of discoveries in technical media that artists use in their artistic achievement, and the extent of their impact on contemporary Iraqi painting, where the research problem was identified (what is The nature and role of technical media in showing works in contemporary Iraqi painting) and (What are the intellectual and aesthetic concepts of media and techniques as references for contemporary art in Iraq). The second topic dealt with technical media and their impact on the plastic arts, and the third topic focused on the technical med