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.
The linguistic researcher reads a systematic crisis, idiomatic problems within the linguistic term coming to the Arab culture. Where most of them return back to problems of receiving these sciences which are represented by phenomena like the multiplicity linguistic term, disturbance translated idiomatic concept and its duality.
Aims of the research :
1-Initializing new textbooks to form linguistic project and Arabic linguistic theory.
2-Determination adjusted knowledge, concepts of Arabian heritage linguistics subject
3-Observation the causes of disturbance crisis of linguistic term and its relation to
... Show MoreIn this study we examine variations in the structure of perovskite compounds of LaBa2Cu2O9, LaBa2CaCu3O12 and LaBa2Ca2Cu5O15 synthesized using the solid state reaction method. The samples’ compositions were assessed using X-ray fluorescence (XRF) analysis. The La: Ba: Ca: Cu ratios for samples LaBa2Cu2O9, LaBa2CaCu3O12 and LaBa2Ca2Cu5O15 were found by XRF analysis to be around 1:2:0:2, 1:2:1:3, and 1:2:2:5, respectively. The samples’ well-known structures were then analyzed using X-ray diffraction. The three samples largely consist of phases 1202, 1213, and 1225, with a trace quantity of an unknown secondary phase, based on the intensities and locations of the diffraction peaks. According to the measured parameters a, b, and c, every sa
... Show MoreThe present study aims to isolate and identify ectoparasites, specifically hard ticks, that infest both domestic and wild rabbits. This research is motivated by the heightened sensitivity of rabbits to infestations by hard ticks, which are recognized as the primary vectors of certain blood-borne diseases, particularly Viral Hemorrhagic Fever (VHF). The study areas were spread across five provinces in Iraq: Baghdad, Karbala, Wasit, Mosul, and Al-Anbar. A total of 85 hard ticks (42 male and 43 female) were infested by 57 rabbits (Leporidae Family), including 19 wild rabbits (hare) with an infestation rate of 100% and 38 domestic rabbits with an infestation rate of 18.42%. Total of infestation was 45.61%. The current results are the oc
... Show MoreThe alluvial fan of Mandali located between latitude 30˚45’00” N longitude 45˚30’00” E in east of Diyala Governorate, Iraq. Thirty-five wells were identified in the study area with average depth of 84 m and estimated area of 21550 ha. A three-dimensional conceptual model was prepared by using GMS program. From wells cross sections, four geological layers have been identified. The hydraulic conductivity of these layers was calculated for steady state condition, where the water levels for nine wells distributed over the study area were observed at same time. Afterward, PEST facility in the GMS was used to estimate the aquifer hydraulic characteristics. Other characteristics such as storage coefficient and specific yield have
... Show MoreResearch summary
Westernization is a term not familiar to our scholars at the beginning of the emergence of translation from Western literature, sciences and arts in its detailed form now.
Westernization was not an issue that those Greeks, Persians, Romans, Indians and others worked on translating those sciences and cultures. Rather, it was a process of transferring a new philosophy and logic that had not been previously seen by the Arabs, so they were affected by it in a strange way, to the point of fascination by some of them. For this reason, this research came to clarify these issues and address them within the scientific methodology.
Background: Clinicians and investigators consider the normal range of bowel habit and frequency as between 3 to 21 motions per week . Stool frequency out side the normal range may be unusual but may not be abnormal in the sense of a disease . And according to the consistency, the normal stool ranges from porridge like to hard and pellety .Objectives: To establish a basic data about the bowel habits (consistency and frequency) in a sample of healthy Iraqi population; in addition to learn about their definition of constipation and diarrhea.Methods: Prospective study from Jan 2000- Jun 2000 at Al-Yarmouk teaching hospital, Baghdad. Questionnaires were distributed to 950 healthy persons of different age group .The questionnaire included: Det
... Show MoreThe theatrical performance has an aesthetic, artistic, technical and intellectual vision presented by the theatrical director according to the dualities of theatrical form and content, which depend on the uniformity and interconnection of theatrical elements, as the vision is integrated through the harmony and fusion of these elements and the flow of their coordination with an aesthetic system within the framework of the aesthetic space of the theatrical performance, and when the heritage is presented in the performance, as there will certainly be different readings of that heritage and moving away from the iconization of the event and highlighting it in a manner that is in line with the spirit of the age.
the (researcher) tries, t
Concert place high school in the community Keep pace with societal change and what is going through Iraqi society from the wars and occupation and the sectarian and ethnic conflict and authoritarian policies and Dictator ship .
This is the circumstance of the most important historical stages that require .
Precision sons is Keep up with the progress and development and the advancement of the educational march .
The school is a social institution that organizes the members of society all walks of life and their habitats working on crafting members of the extraordinary alve of progress At the multiplicity of functions and tasks school pequires members qualified scientific and practical Becomes complementary members seek progress a