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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
Sat Sep 01 2012
Journal Name
Journal Of Economics And Administrative Sciences
Petroleum Derivatives in Iraq The phenomenon of Renewable or Passing crisis
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     Iraq economy suffered, nor , still many difficulties and problems , including oil derivatives crisis that emerged in 2004 and was the most prominent features of the inability of local production to meet the needs of the increasing growth of consumption, the crisis has cast a shadow on the growth of national in general, and citizen living in particular. Therefore, the real test of crisis and challenge to the capacity of government agencies to manage the crisis and control and reduce its harmful effects, which disappear in a region or sector, even begin to appear in another, given the multiplicity and complexity of third-party solution for remedying the negative consequences of deliberate.

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Publication Date
Sat Jun 05 2021
Journal Name
Al Ustath
he Treatment of 9/11 Trauma in Don DeLillo'sFalling Man (2007)
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The danger of the attacks of 9/11 in America, mainly on the WorldTrade Center at Ground Zero, had brought America into a position thatnever seen before. People who lived there faced a historical calamity marked a turning point in history and a beginning of a new era. Thepaper examines the behavior of traumatized individuals in relation tosociety that trauma involves both. The socio cultural approach willachieve the goal. It studied the responses of the individuals to the event and the motives behind these reactions. Don DeLillo, a member of apost 9/11 group of writers, an American novelist of Italian origin, through his portrayal of the characters, tries to present a vivid image t

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Publication Date
Mon Jan 01 2024
Journal Name
Journal Of Surgery
Evaluation of using double Teostrut graft to control naral tip projection
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Abstract Background: Dne of the key component of nasal tipplasty is effecter control of naral tip projection. Several cartilage grafts have been decreased for this purpose each had its own advantage and disadvantage. Aim: To evaluate using of double teostrut graft for controlling of tip projection. Patients and Methods: A total number of 170 patients were subjected to primary and secondary rhino plaster between January 2020 to January 2023. Those patients had double Teostrut banner graft for support of their nasal tip and maintaining tip projection after operation. Results: The follow period was ranging between 6-12 months. The shape of the nose was evaluating by patents vernal analogues scale. The average score for patients satisfaction wa

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Publication Date
Tue Jan 01 2019
Journal Name
Indian Journal Of Public Health Research & Development
Analytical Study of Strategic Watch at Paralympic Committee Members in Iraq
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Publication Date
Thu Jul 04 2019
Journal Name
Journal Of Research In Medical And Dental Science
The Role of Epithelial Mesenchymal Transition Process in Inflammatory Gingival Hyperplasia
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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Behavior of asymmetrical castellated composite girders by gap in steel web
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Publication Date
Fri Mar 24 2023
Journal Name
Arab World English Journal
Essential Traits of Influential Professors in Virtual Teaching from EFLLs’ Perspectives
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There are numerous ways to define the traits of influential professors, including behavior (such as warmth, civility, and clarity), knowledge (of subject matter and students), and beliefs, among many others. According to research; influential teaching can also defined as the capacity to improve student achievement. This; is only one way to express effectiveness, as stated. However; the preferred definition of high-quality teaching in the United States and many other countries is teacher effects on student achievement. Therefore; this study aimed to determine the characteristics of influential professors in Online Teaching at the English department. This study; believed to be significant for college professors who will show them how

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Publication Date
Thu May 01 2003
Journal Name
Renewable Energy
FT-IR and XPS analysis of a-Si1-xGex:H thin films
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Publication Date
Sat Oct 01 2022
Journal Name
Nuclear Instruments And Methods In Physics Research Section B: Beam Interactions With Materials And Atoms
Shielding properties and buildup factor of Al2O3/PbO-based ceramic materials
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Publication Date
Wed Jan 25 2023
Journal Name
International Journal Of Biomaterials
Surface Characterization of Stainless Steel 316L Coated with Various Nanoparticle Types
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Background. Material tribology has widely expanded in scope and depth and is extended from the mechanical field to the biomedical field. The present study aimed to characterize the nanocoating of highly pure (99.9%) niobium (Nb), tantalum (Ta), and vanadium (V) deposited on 316L stainless steel (SS) substrates which considered the most widely used alloys in the manufacturing of SS orthodontic components. To date, the coating of SS orthodontic archwires with Nb, Ta, and V using a plasma sputtering method has never been reported. Nanodeposition was performed using a DC plasma sputtering system with three different sputtering times (1, 2, and 3 hours). Results. Structural and elemental analyses were conducted on the deposited coating

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