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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
Thu Mar 30 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Effects of Abuse of Anabolic Androgenic Steroids on Iraqi Athletes
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Anabolic androgenic steroids (AAS) are man-made derivatives of the male sex hormone testosterone, originally designed for therapeutic uses to provide higher anabolic potency with lower androgenic effects. Increasing numbers of young athletes are using these agents illicitly to enhance physical fitness, appearance, and performance despite their numerous side effects and worldwide banning.  Today, their use remains one of the main health problems in sports because of their availability and low price.  The present study focuses on investigating the adverse effects of anabolic androgenic steroid abuse on sex hormones, liver and renal function tests, fasting glucose levels and lipid metabolism in Iraqi male recreational bodybuilders

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Publication Date
Sun Jan 01 2023
Journal Name
مجلة البحوث التربوية والنفسية
Perceptions Of Iraqi EFL Pre-Service Teachers Of Sustainable Development
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Sustainable development (SD) is an improvement that meets present needs but jeopardizes the ability of new populations to do the same. It is vital to acquaint EFL students with the terminology and idiomatic expressions of this discipline. Nowadays, sustainable development and the environment have been prioritized in every aspect of life. Since culture and the teaching of Foreign language English cannot be separated, the English language becomes the mean of communication in health, economics, education, and politics. Thus, integrating sustainable development goals within language learning and teaching is very important. This descriptive quantitative study aims to investigate the perception of EFL pre-service teachers of sustainable developme

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Publication Date
Tue Jan 01 2002
Journal Name
Annals Of Saudi Medicine
Treatment of viral warts by intralesional injection of zinc sulphate
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KA Sharquie, AA Al-Nuaimy, Annals of Saudi Medicine, 2002 - Cited by 48

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Publication Date
Tue Apr 20 2021
Journal Name
Journal Of Optical Communications
Analyzing of UVLC system considering the effect of water depth
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Abstract<p>This paper presents a new approach to discover the effect of depth water for underwater visible light communications (UVLC). The quality of the optical link was investigated with varying water depth under coastal water types. The performance of the UVLC with multiple input–multiple output (MIMO) techniques was examined in terms of bit error rate (BER) and data rate. The theoretical result explains that there is a good performance for UVLC system under coastal water.</p>
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Publication Date
Wed Jul 30 2025
Journal Name
Methodsx
New Modifications of ADM with Applications in Kind of PDEs
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This paper presents seven modified Adomian Decomposition Method (ADM) techniques for efficiently solving initial value problems, especially those involving non-homogeneous and nonlinear differential equations. While the classical ADM is effective for linear homogeneous cases, it has difficulties solving more complex problems. The proposed modifications—from MADM1 to MLADM—include Maclaurin and Taylor expansions, Laplace transforms, and single-step iterations.• These modifications enhance convergence, reduce complexity, and improve accuracy.• Each method offers specific advantages, such as accelerating convergence (MADM2, RADM4), simplifying computation (TSADM5), and achieving higher accuracy (MLADM).• Numerical examples confirm th

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Publication Date
Tue Jul 11 2023
Journal Name
Journal Of Educational And Psychological Researches
Perceptions of Iraqi EFL Pre-service Teachers of Sustainable Development
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Sustainable development (SD) is an improvement that meets present needs but jeopardizes the ability of new populations to do the same. It is vital to acquaint EFL students with the terminology and idiomatic expressions of this discipline. Nowadays, sustainable development and the environment have been prioritized in every aspect of life. Since culture and the teaching of Foreign language English cannot be separated, the English language becomes the mean of communication in health, economics, education, and politics. Thus, integrating sustainable development goals within language learning and teaching is very important. This descriptive quantitative study aims to investigate the perception of EFL pre-service teachers of sustainable develo

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Publication Date
Wed Dec 30 2020
Journal Name
Al-kindy College Medical Journal
Various types of Alopecia and the options of the treatment
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Alopecia (Baldness) is very usual trouble in current time. It is accompanied by an intensive weakening of the scalp's hair and follows a specific pattern. Hereditary predisposition plays a very important role in alopecia despite not completely understood. Alopecia can be typed to various categories according to etiology, may be due to hereditary factors, autoimmune disease, and drugs or chemicals. There are many options of strategies of treatment according to the type and causes of alopecia. Chemical or synthetic medications apply for the management of hair loss are accompanied by a wide range of undesirable effects. Naturally occurring drugs also play important role in alopecia management with minimal side effects.

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Publication Date
Sat Jun 30 2018
Journal Name
College Of Islamic Sciences
Violators of the law of God   (Between platforms and intimates)
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Al-Manas and Al-Muhais are two words in a close sense of the strange words of the Holy Quran. The word Al-Manas was mentioned once in the Holy Qur'an in Surat (PBUH). ) / 36 .. What we will see in the folds of the search, God willing.

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Publication Date
Fri Dec 22 2006
Journal Name
Journal Of Planner And Development
Planning of the Arab-Islamic city of privacy and modernity
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Each Arab Islamic city is distinguished by its distinctive characteristics dictated by the nature of its location and its characteristics, as we see it mountainous in the mountains, deserts in the deserts, and coastal in the coasts, and this is reflected in the models of its buildings and designs and even in its structure. However, this uniqueness did not stand in the way of the emergence of characteristics and common characteristics of these cities over time, the factors derived from the core of the life of the community habits and traditions and beliefs and living requirements and environmental conditions that all piled in the process of building and construction of the Arab Islamic city to draw The features and lines of life of the co

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Publication Date
Sat Jan 01 2022
Journal Name
Geotechnical Engineering And Sustainable Construction
Evaluation of Live Load Distribution Factors of a Highway Bridge
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