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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
Wed Mar 10 2021
Journal Name
Baghdad Science Journal
linear equivalence determination of key-stream sequence using Z-Transform
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the research ptesents a proposed method to compare or determine the linear equivalence of the key-stream from linear or nonlinear key-stream

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Publication Date
Tue Oct 12 2021
Journal Name
Neuroquantology
Biochemical Aspects in Sera of Iraqi Patients with Trigeminal Neuralgia
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Trigeminal Neuralgia (TN) is one of the most commonly painful cranial neuralgia characterized by paroxysmal attacks as short lasting facial pain along the trigeminal nerve branches. The aim of the present study is to innovate a biochemical relationship between (melatonin, GALNT12 and Zn) and TN and also to examine the biochemical action of tegretol (carbamazepine) as a treatment on the above biochemical parameters. Blood samples were collected from fifty four (54) trigeminal neuralgia patients diagnosed by magnetic radiation image (MRI). Patients were classified into four groups: G3 (40- 70) years composed of (12) diagnosed male (without treatment), G4 (48- 75) years composed of (12) diagnosed female (without treatment), G5 (34- 76)

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Publication Date
Wed Aug 03 2016
Journal Name
Technology Reports Of Kansai University
Some statistical results for solution type of the Inequalities system
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Publication Date
Fri Dec 15 2023
Journal Name
Al-academy
Symbolic Connotations in the Works of the Artist Eugene Delacroix
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The use of symbols is considered an important part of visual expression since ancient civilizations till the present time, and detecting the significance of these symbols is a communication means between the artwork and the recipient. The current study aims to detect the clarification of the concept of symbolic connotations, and to detect their importance in the works of the artist Eugene Delacroix, through description and technical analysis, and trying to monitor the technical aspects of these connotations and using them in forming the artwork; This shows the importance of the study in trying to benefit the scholars in the field of visual arts and the analysis of artworks in particular.
The study used the descriptive analytical appr

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Publication Date
Fri Dec 20 2024
Journal Name
Al-qadisiyah Journal Of Pure Science
Weakly and Strongly Forms of Fibrewise Fuzzy ω--Topological Spaces
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Abstract This paper is devoted to introduce weak and strong forms of fibrewise fuzzy u-topological spaces, namely the fibrewise fuzzy q-u-topological spaces, weakly fibrewise fuzzy q-u-topological spaces and strongly fibrewise fuzzy q-utopological spaces. Also, Several characterizations and properties of this class are also given as well. Finally, we focused on studying the relationship between weakly fibrewise fuzzy q-u-topological spaces and strongly fibrewise fuzzy q-utopological spaces.

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Publication Date
Wed Oct 28 2020
Journal Name
Egyptian Journal Of Chemistry
Inhibition of Aluminum Alloy 7025 in Acid Solution Using Sulphamethoxazole
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Corrosion behavior of aluminum alloy 7025 was investigated in hydrochloric acid (pH=1) containing 0.6 mol.dm-3 NaCl in the existence and absence of diverse concentrations of sulphamethoxazole as environmentally friendly corrosion inhibitor over the temperature range (298-313)K. Electrochemical polarization method using potentiostatic technique was employed. The inhibition efficiency has been raised with increased sulphamethoxazole concentration but lessened at temperature increases. The highest efficiency value was 96.5 at 298 K and 2 x10-4 mol.dm-3 concentration of sulphamethoxazole. The sulphamethoxazole adsorption was agreed with Langmuir adsorption isotherm. Some thermodynamic parameter (△Gads) and activation energy (Ea) were determin

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Publication Date
Sat Jul 01 2023
Journal Name
المؤتمر العلمي الدولي الثاني للدراسات الإنسانية والاجتماعية
The Role of Digital Classroom in Education Trend and Concept
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A vital instrument to foster the long-term goal of high-quality education has developed in the form of digital technologies. The educational system has been found to be significantly impacted by these technologies. The recent COVID- Pandemic has strengthened the legitimacy of using digital tools in education. The entire educational system has undergone a paradigm shift as a result of these digital technologies. Along with sharing knowledge, it also serves as a mentor, an assessor, and a co-creator of information. Students' lives have been simpler as a result of educational technology advancements. Nowadays, students prepare presentations and projects utilizing a variety of software and tools rather than pen and paper. The weig

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Publication Date
Thu Feb 25 2010
Journal Name
International Conference On Geotechnical Engineering. 2010
Finite Elements Analysis of Hypar Shell footings on Elastic Foundations
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RM Abbas, AA Abdulhameed, AI Salahaldin, International Conference on Geotechnical Engineering, 2010

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Publication Date
Wed Jun 30 2004
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Formulation of Multi-Purpose Grease for Use under Severe Conditions
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Publication Date
Tue Sep 01 2020
Journal Name
Al-khwarizmi Engineering Journal
Arduino-Based Controller for Sequence Development of Automated Manufacturing System
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It has become necessary to change from a traditional system to an automated system in production processes, because it has high advantages. The most important of them is improving and increasing production. But there is still a need to improve and develop the work of these systems. The objective of this work is to study time reduction by combining multiple sequences of operations into one process. To carry out this work, the pneumatic system is designed to decrease\ increase the time of the sequence that performs a pick and place process through optimizing the sequences based on the obstacle dimensions. Three axes are represented using pneumatic cylinders that move according to the sequence used. The system is implemented and

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