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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 Jun 30 2022
Journal Name
International Journal Of Drug Delivery Technology
. Preparation and Characterization of Atorvastatin Calcium Trihydrate-cyclodextrin Inclusion Complex
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Atorvastatin calcium (ATR) is an antihyperlipidemic agent used for lowering blood cholesterol levels. However, it is very slightly soluble in water with poor oral bioavailability, which interferes with its therapeutic action. It is classified as a class II drug according to Biopharmaceutical Classification System (low solubility and high permeability).

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Publication Date
Mon Aug 03 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
أثر تطبيق الضريبة الانتقائية على السجائر في زيادة الحصيلة الضريبية: The effect of applying the selective tax on cigarettes on increasing the tax revenue
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The increasing rates of consumption of cigarettes harmful, to health in the world in general, and in Iraq in particular, and because of the costs borne by individuals, and the state as a result of addressing its damage, as well as Iraq's commitment, to international conventions against cigarettes, and demands of the World Health Organization, to raise prices to reduce consumption. Therefore, the tax Selectivity is one of the most important ways of regulating the consumption of this commodity on the one hand and increasing the tax revenue on the other. The research aims to shed light on the issue of selective tax on cigarettes and the impact of their application in increasing tax revenues and identify the effectiveness of the application

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Publication Date
Sun Jan 02 2022
Journal Name
Journal Of The College Of Languages (jcl)
Comparison between Ghassan Kanafani's Novel " Ma tabaqa lakom" and William Faulkner's "The Sound and the Fury" from the Perspective of the American School (the methodology of the novelistic theme and style): مقایسة دو رمان "ماتبقّي لكم"کنفانی و " خشم و هياهو"ی فاکنر بر اساس مكتب آمريكا (بررسی روش شناختی محتوایی و سبکی )
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     Being the meeting points of the world different languages and out of a scholarly perspective, comparative literature represents a cultural leap as well as an artistic and intellectual development or a global literary movement of both prose and poetry. Such homogenous literary structure requires a systematic and coherent study of the literary output of the people different cultures and civilizations. It also represents the theoretical approach of the present study that debates a systematic comparison between Ghassan Kanafani’s All That's Left to You and William Faulkner’s. The Sound and the Fury.  Within the perspective of the descriptive analysis approach, the present paper discusses th

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Publication Date
Wed Mar 01 2017
Journal Name
Journal Of Craniofacial Surgery
Lateral Ridge Splitting (Expansion) With Immediate Placement of Endosseous Dental Implant Using Piezoelectric Device
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Publication Date
Sun Jan 01 2017
Journal Name
International Mathematical Forum
On mildly-regular space
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In this paper mildly-regular topological space was introduced via the concept of mildly g-open sets. Many properties of mildly - regular space are investigated and the interactions between mildly-regular space and certain types of topological spaces are considered. Also the concept of strong mildly-regular space was introduced and a main theorem on this space was proved.

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Publication Date
Sat Apr 01 2023
Journal Name
Full Text Book Of Minar Congress8
REGULARITY VIA PRE- GENERALIZED OPEN SETS
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By use the notions pre-g-closedness and pre-g-openness we have generalized a class of separation axioms in topological spaces. In particular, we presented in this paper new types of regulαrities, which we named ρg­regulαrity and Sρg­regulαrity. Many results and properties of both types have been investigated and have illustrated by examples.

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Publication Date
Sun Oct 25 2020
Journal Name
المؤتمر العلمي الدولي الثالث لكلية التربية البدنية
دراسة مشكلات الاتصال بين طلبة الدراسات العليا وأعضاء هيئة التدريس في بعض كليات التربية البدنية وعلوم الرياضة العراقية من وجهة نظر الطلبة أنفسهم
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Publication Date
Mon Jan 23 2023
Journal Name
Arab Science Heritage Journal
الخلفية التاريخية النسبية والمذهبية لبني يفرن واماكن وجودهم في المغرب والاندلس من الفتح الاسلامي الى القرن الخامس الهجري/الحادي عشر الميلادي دراسة تاريخية
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The Berber tribes in the Islamic Maghreb and Andalusia had a distinct role in the future of states and entities .The Islamic Maghreb in terms of its stability,downfall,political relations and conflicts among them.Among these tribes was the Banu Yafran tribe, which is the subject of the study.

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Publication Date
Mon Dec 26 2022
Journal Name
Arab Science Heritage Journal
الخلفية التاريخية النسبية والمذهبية لبني يفرن واماكن وجودهم في المغرب والاندلس من الفتح الاسلامي الى القرن الخامس الهجري/الحادي عشر الميلادي دراسة تاريخية
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    The Berber tribes in the Islamic Maghreb and Andalusia had a distinct role in the future of states and entities .The Islamic Maghreb in terms of its stability,downfall,political relations and conflicts among them.Among these tribes was the Banu Yafran tribe, which is the subject of the study.

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Publication Date
Fri Jan 01 2016
Journal Name
Journal Of The College Of Languages (jcl)
Investigating English Composition Writing Problems Encountered by Preparatory School Students and Finding Solutions to These Problems through Schema- Based Approach
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Writing in English is one of the essential factors for successful                      EFL learning .Iraqi students at the preparatory schools encounter problems when using their background knowledge in handling subskills                                  of writing(Burhan,2013:164).Therefore, this study aims to investigate the 4thyear preparatory school students’ problems in English composition writing, and find solutions to these pro

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