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.
أهمية البحث ومشكلته:- تعد الطفولة من أهم المراحل العمرية في حياة الإنسان اذ يكون فيها الطفل غضاً من النواحي الجسمية والعقلية والنفسية، شديد القابلية للتأثر بالعوامل المختلفة المحيطة به الأمر الذي يبرز أهمية السنوات الخمس الأولى في تكوين شخصيته بصورة تترك طابعها فيه طيلة حياته. ومن أهم سمات هذه المرحلة نمو القوى العقلية والجسمية والنفسية، ومن جوانب نمو الطفل العقلية هي المفاهيم ا
... Show MoreIn this work, an experimental analysis is made to predict the thermal performance of the natural-convection phenomenon from a heated vertical externally finned-tube to surrounding air through an open-ended enclosure. Two different configurations of longitudinal rectangular fin namely, continuous and interrupted are utilized with constant thickness, different numbers, and different heights are extended radially on the outer surface of a heated tube. The tube is heated electrically from inner surface with five varied power input magnitudes. The effect of fins configuration, fins number, fins height, and heat flux of the inner tube surface on the thermal performance of natural c
... Show MoreThe aim of the present research is to construct a model to evaluate the software engineering subject in the third grade department of Computing, in colleges of education. Then, evaluating the software Engineering subject from the view point of staff members by applying the constructed model, and in order to achieve the second aim of the present research the researcher has to find answers to the following questions:- 1. What is the presence of the proposed evaluating model fields, which was prepared by the researcher for the third grade Soft Ware Engineering subject from the view point of staff members? 2. What is the presence of the items for the proposed evaluating model, which was prepared by the researcher for the third grade Soft War
... Show MoreTelevision culture has become the most dangerous of our time. It manipulates with minds and hearts together; and forms consciousness. It transforms societies into actual forces rejecting certain principles by guiding the media landscape through visible connotations acceptable to the public; or provokes the citizen against elements that put a burden on the viewer or the public in order to create a positive reaction to the subject of combating terrorism by combining these ads in line with what the public wants of security and tranquility and a decent living after suffering from terrorism in the past years.
Therefore, this research deals with television advertisements as one of the most important fo
... Show Moreيعتبر مفهوم المجتمع المدني من بين سلة المفاهيم التي حملت لوائها واعادت رفعها حركات الموجة الثالثة من الديمقراطية في العالم التي نادت بالتعددية والانتخابات الحرة ...الخ .
Dengke Naniura is a traditional food from Sumatera Utara, Indonesia, that is produced through fermenting process, and this food is believed to contain high probiotics. The objective of the current research is to determine the potential of LAB as a probiotic that has been obtained from Dengke Naniura. Dengke Naniura was traditionally prepared from Cyprinus carpio. Four LABs have been successfully isolated from Dengke Naniura, such as D7DA3, D7B3, D7DBF and D7DN3. Those four LAB isolates were identified as Lactobacillus sp. This result has been confirmed by the non-spore forming bacterium, non-motile, and Gram-positive. Also, it has been supported by biochemical test, for the example Voges Proskauer, catalase test, Methyl
... Show MoreThe period of the reign of King Ghazi saw many disorders in most parts of the country and the management disrupted and imbalanced, besides tribal unrests and political conflict and collision with British interests, Such as bad management in some regions and loss of government control over some administrative units, due to the position of the weak governments towards these problems, so it was necessary to change these Governments and Ministers to solve such problems. In contrast, the Iraqi government has focused on the army as the basis for a strong state and the protector on the existence of an external threat for the safety of the country, King Ghazi has helped in the development of competencies of the military, bringing the officers ex
... Show MoreNatural convection in a trapezoidal enclosure with partial heating from below and symmetrical cooling from the sides has been investigated numerically. The heating is simulated by a centrally located heat source on the bottom wall, and four different values of the dimensionless heat source length, 1/5, 2/5, 3/5, 4/5 are considered. The laminar flow field is analyzed numerically by solving the steady, two-dimensional incompressible Navier-Stokes and energy equations. The Cartesian velocity components and pressure on a collocated (non-staggered) grid are used as dependent variables in the momentum equations discretized by finite volume method; body fitted coordinates are used to represent the trapezoidal enclosure, and grid generatio
... Show MoreIt was the sayings of Andalusia scholars in agriculture based on experiments and theories that helped a lot in the success and development of agriculture in the Andalusia ,and also The divisions of the soil and out types and forms it helped a lot of to know arable of non-arable land earth and all off the determination of the color of repentance is important often discovered by agricultural scientists and that helped in the cultivation of certain crops in certain land without another land.and though each particular agricultural crops specific soil in which to live and not live in other soil ,
This paper presents a fully computerized method to backup the router configuration file. The method consists of a friendly graphical interface programmed by Java programming language.
The proposed method is compared with the two existing methods, namely: TFTP server method and Copy/Paste method. The comparison reveals that the proposed method has many advantages over the existing ones. The proposed method has been implemented on Cisco routers (series 2500, 2600 and 2800).