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Minimum Neighborhood Domination of Split Graph of Graphs
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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.

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Publication Date
Mon Apr 19 2021
Journal Name
Turkish Journal Of Computer And Mathematics Education (turcomat)
The Impact Of Innovative Matrix Strategy And The Problem Tree Strategy On The Mathematical Proficiency Of Intermediate Grade Female Students
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The research aims to know the impact of the innovative matrix strategy and the problem tree strategy in teaching mathematics to intermediate grade female students on mathematical proficiency. To achieve the research objectives, an experimental approach and a quasi-experimental design were used for two equivalent experimental groups. The first is studied according to the innovative matrix strategy, the second group is studied according to the problem tree strategy. The research sample consisted of (32) female students of the first intermediate grade, who were intentionally chosen after ensuring their equivalence, taking into several factors, most notably (chronological age, previous achievement, and intelligence test). The research tools con

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Publication Date
Fri May 15 2020
Journal Name
Egyptian Journal Of Chemistry
Application of Response Surface Methodology for Optimization of Phenol Removal from Simulated Wastewater using Rotating Tubular Packed bed Electrochemical Reactor
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Publication Date
Thu Apr 17 2008
Journal Name
Anbar Journal Of Agricultural Sciences 6 (2)‏
Influence of foliar sprays with Copper and Zinc on the resistance of citrus rootstocks to gumosis caused by Phytophthora citropthora. ‏
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Publication Date
Sun Oct 13 2013
Journal Name
Journal Of Advances In Chemistry
Effect of Aqueous Extract of Vitis Vinifera l. Leaf on the Rabbit Females Have Highly Thyroxine Induced by Levothyroxine Sodium‏
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L-Thyroxine(T4) and triiodothyronine(T3)are iodine-containing hormones produced from thyroglobulin in the thyroid follicular cells. The stimulation of metabolic rate and regulation of growth and development by these hormones appear to be due to their effects on DNA transcription and, thus, protein synthesis. The aqueous extract of vitis vinifera L. was investigated for its effect on hormones in rabbits. The aqueous extract of plant at a dose level of 50µg/rabbit showed highly significant (p<0.05)on levels of hormones T4, TSH but TSH no significant. L-thyroxine sodium treated group showed a highlysignificant increase in T3 and T4 while there was a highly significant decrease in TSH. From the above results, it is concluded for the first time

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Publication Date
Mon Jul 01 2024
Journal Name
Ecological Engineering &amp; Environmental Technology
Use of Nano Co-Ni-Mn Composite and Aluminum for Removal of Artificial Anionic Dye Congo Red by Combined System
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The removal of congo red (CR) is a critical issue in contemporary textile industry wastewater treatment. The current study introduces a combined electrochemical process of electrocoagulation (EC) and electro-oxidation (EO) to address the elimination of this dye. Moreover, it discusses the formation of a triple composite of Co, Mn, and Ni oxides by depositing fixed salt ratios (1:1:1) of these oxides in an electrolysis cell at a constant current density of 25 mA/cm2. The deposition ended within 3 hours at room temperature. X-ray diffractometer (XRD), field emission scanning electron microscopy (FESEM), atomic force microscopy (AFM), and energy dispersive X-ray (EDX) characterized the structural and surface morphology of the multi-oxide sedim

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Publication Date
Mon Dec 09 2019
Journal Name
Periodicals Of Engineering And Natural Sciences
The philosophy of the workplace spirituality in the third millennium organizations: A field study at the ministry of health center
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Purpose: The research aims to build an integrated knowledge framework for the basic research topic. The spirituality of the workplace is through access to the most important scientific proposals on these topics. In management thought framing, the knowledge within them in a serious attempt is to provide the appropriate answers about the intellectual dilemma of research by diagnosing the nature of the relationship with the influential elements and its historical development . Methodology: The study is relied on the analytical survey method. The research sample targeted (88) managers in the center of the Iraqi Ministry of Health exclusively from the researched senior leaders (general manager, assistant general manager, and head of department),

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Publication Date
Sat Jan 01 2022
Journal Name
Technologies And Materials For Renewable Energy, Environment And Sustainability: Tmrees21gr
Non-thermal plasma effects on of structural and optical properties of Nio:Li thin films prepared by the spray pyrolysis technique
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In this research ,Undoped Nio and 1%Li doped Nio thin films were deposited utilizing chemical spray pyrolysis on the glass substrates heated (450C). The effects of non-thermal plasma on the structural and optical properties were studied. XRD measurement shows that Nio and Nio:1%Li films were found to be polycrystalline and have cubic structure with a preferred orientation (111). Decreased crystal size after exposure especially at (7) sec. AFM data indicate that the surface roughness average and (RMS) values of the prepared doped films are increasing after exposure to plasma, the transmittance increases after doped samples exposure to plasma, it was found that the energy gap value decreased when doped samples exposure to plasma, also, thickn

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Publication Date
Sun Jun 01 2014
Journal Name
Alustath Journal For Human And Social Sciences
Obstacles to the application of electronic management in university libraries: the universities of Baghdad and Al-Mustansiriya as a model.
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The research aims to identify the obstacles facing the application of electronic management in our university libraries, including the central library of the University of Baghdad and the central library of Al-Mustansiriya University, the research sample, as they are among the main libraries that used electronic technologies in managing some of their work and in providing their services, and they have a website via the Internet. The research relied on the case study method to identify the obstacles by visiting the two libraries, interviewing their managers and employees responsible for the departments, and answering inquiries about the obstacles that prevent the application of electronic management in order to identify them and find appropr

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Publication Date
Sat Oct 01 2016
Journal Name
Arpn Journal Of Engineering And Applied Sciences
Numerical and experimental analysis of transient temperature and residual thermal stresses in friction stir welding of aluminum alloy 7020-T53
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Publication Date
Fri Dec 15 2017
Journal Name
Journal Of The College Of Education For Women
The Effect of Using Authentic Materials on ESP Students’ Achievement at College of Physical Education and Sciences Sport for Women
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Authentic materials are the most important tools that the teacher could use in class in order to make teaching go smoothly and effectively in transmitting the necessary knowledge to all students. This research has investigated experimentally the effect of using authentic materials in teaching English as a foreign Language, because a number of studies point out that the use of authentic materials is regarded a useful means to motivate learners, arouse their interest and expose them to the real language they will face in real life situations.

It is hypothesis that there is no statistical significance difference between the experimental group who taught English as a foreign language by using the authentic materials with those  

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