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.
King Ghazi (1933-1939) was of the Arabic characters that characterized national and
patriotic spirit and that faced the British policy in all its aspects.
King Ghazi distinguished as of Arab nationalist tendencies and called for the
liberalization of Arab lands which were under the rule of the Ottoman Empire. He called for
reunification under the one Arab country, Hence came the King invitations to liberate Kuwait
from the British protectorate and consolidated with Iraq.
King Ghazi established a private radio station in the royal palace (AL zzaahoor) palace
and provided special programs to return of Kuwait to Iraq, this radio station was The
prominent role in the revitalization of the Kuwaiti National Movement, an
Abstract
The research was limited to those whom Imam Abu Dawood
described in his Sunan as weak, so this research does not include
narrators who carried descriptions indicating weakness such as
ignorance or others, nor does it include hadiths that the Imam
described as weak.
The number of narrators whom Imam Abu Dawood described as
weak has reached six narrators, and my methodology was to
mention the words of Imam Abu Dawood, then transfer the
sayings of other advanced scholars, as well as the sayings of
Imam Abu Dawood in his other books, if any, to show the extent
of compatibility between these sayings.
I have reached the following resul
... Show MoreThis paper deals with the nations of British American Struggle in Caribbean. It
explains British Navy attitude of American expansion in Caribbean. Then continuation of
American expansion in the same place and Britain failure to limit it. This paper high lights the
beginning of acceptance between Britain's and United state, especially after British
submission to United States in Caribbean. Then we study the Anglo – American harmony and
the affection on the Anglo – American relation.
This paper concludes that American influences in Americans which is a truth.
The research aims to highlight on the reasons of financial & managerial corruption phenomena and to suggest systems & methods that promote controlling and developing the mechanism to combat corruption it also highlights on the ways that should available to enable the three regulatory agencies to reduce this phenomenon. The research depends on the following hypothesis "the governance of state institutions and the application of electronic government with depending on a correct mechanism to crossing auditing and the equilibrium performance model well help to reduce corruption phenomenon in Iraq" the two researchers have been concluded some conclusions the main one is that so many reasons of corruption starting from the bad
... Show MoreIn fact, the main idea of the manuscript is to deal with subdivision science of Islamic jurisprudence, it has a touch of ambiguity that attract all knowledge men , many students like to study it according to its ambiguity and trying to solve
أن تحديد أحداث أيلول 1970 في الحقيقة يعود الى الشمولية التي سارت عليها الحكومات العراقية بعد ثورة 14 تموز 1958 ومن ثم بعد انقلاب 8 شباط 1963 وهيمنة التيار القومي على دفة السلطة ثم الانقلاب الثاني في 17 تموز 1968 ليهيمن على الساحة السياسية وعلى تقييد الصحافة والتي أصبحت تتناغم مع فلسفة النظام الحاكم. أن الصحافة العراقية تقسم الى صحف تابعة للحكومة كصحيفة رسمية وهي تمثل سياسة الدولة وفلسفتها ورؤيتها وأيديولوجيتها تجاه الا
... Show MoreThe research aims to characterize the strategic plan of the Educational Professional Development Center, to reveal the most important training needs for teachers from this center, to reveal the extent to which this center meets those needs, and to identify the differences between teacher responses about the degree of importance, availability of those needs according to variables of sex, specialization, and years of experience. This descriptive study adopted a questionnaire applied to (256) teachers in the K.S.A. The results of the study showed that all training needs ranged in the degree of importance from large to very large and that the most important were the skills associated with communicating with members of the learning community.
... Show MoreThis research dealt with the impact of internal control on tax performance using balanced scorecard indicators because of its special importance in improving tax performance and reform. The internal control system is a safety valve for senior management in all organizations, it plays an important role in the regularity and development of work and the fight against corruption To provide reliable and accurate data and information, follow up on compliance with laws, regulations and instructions. The aim of this research is to demonstrate how control affects tax performance and how to adapt internal control components to improve tax performance. In the General Authority for taxes and its branches,. The research resulted in a number of conclu
... Show MoreOf the importance of the concept of ownership of real estate as the basic basis from which various projects are launched in various economic, tourism, and urban areas .... The need to research the diagnosis of real estate reality went astray in the difficulties, which played a decisive role in the process of urban development.
This leads us to the research problem of the difficulty of implementing urban development plans in many cases due to the absence of a clear methodology for organizing and modernizing the ownership of real estate and its coordination with the management of urban land and to achieve the objective
... Show MoreAbstract The Object of the study aims to identify the effectiveness of using the 7E’s learning cycle to learn movement chains on uneven bars, for this purpose, we used the method SPSS. On a sample composed (20) students on collage of physical education at the university of Baghdad Chosen as two groups experimental and control group (10) student for each group, and for data collection, we used SPSS After collecting the results and having treated them statistically, we conclude the use 7E’s learning cycle has achieved remarkable positive progress, but it has diverged between to methods, On this basis, the study recommended the necessity of applying 7E’s learning cycle strategy in learning the movement chain on uneven bar
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