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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 Jan 01 2018
Journal Name
Association Of Arab Universities Journal Of Engineering Sciences
Treatment of Sulfate in Sand by Using Magnetic Water Process
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One of the most important problems in concrete production in Iraq and other country is the high sulfate content in sand that led to damage of concrete and hence reduces its compressive strength and may leads to cracking due to internal sulfate attack and delay ettringite formation. The magnetic water treatment process is adopted in this study. Many samples with different SO3 content are treated with magnetic water (12, 8, 4 and 2)L that needed for each 1kg of sand with the magnetic intensity (9000 and 5000) Gaus. The magnetic water needed is reduced with less SO3 content in sand. The ACI 211.1-91 concrete mix design was used in this research with slump range (75- 100) mm and the specified compressive strength (35MPa). The compressive streng

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Publication Date
Sat Feb 14 2026
Journal Name
Journal Of Engineering
Assessment of Equivalent Grain Diameter for Soil Specific Surface Determination
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Publication Date
Wed Feb 20 2019
Journal Name
Political Sciences Journal
The concept of justice in the ancient Western political heritage
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The concept of Justice in the Ancient western political thought The title of research is the concept of Justice in the ancient western political heritage. It includes the definition of the idea of Justice as well as its evolution and relation to the Law the study discussed two main period . the first one was regarding the concept of Justice in the Greek political thought ( sophists ,Socrates , plato , Aristotle ,Epicureans , and stoics ) . While the second ocused on the concept of justice in Roman political thought Via their great thinkers as polypus and Cicero .

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Publication Date
Wed Oct 24 2018
Journal Name
Journal Of Economics And Administrative Sciences
Factors Strategic Choice and Impact at Quality of Higher Education
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This research raised the strategic selection factors and dimensions of the quality of higher education and what the nature of their relationship and has been collecting a sample search from the technological University of president scientific departments and administrative and scientific associates and chiefs of branches This research aims at studying factors affecting the strategic selection effects these factors in the quality of higher education and the combination of these factors has been identified as a group of selected dimensions of quality of higher education and study link relationships and affecting factors and strategic selection of (risk, previous strategies, resources, time, considerations and internal trends) and d

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Publication Date
Sat Mar 01 1997
Journal Name
Polymer-plastics Technology And Engineering
Feasibility of Dynamic Acid Corrosion Control in Oil Well Tubing
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Publication Date
Thu Jun 16 2022
Journal Name
Clean Technologies
Performance Evaluation of Roughened Solar Air Heaters for Stretched Parameters
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Publication Date
Fri Jan 01 2021
Journal Name
Latin American Journal Of Solids And Structures
Structural Behavior of Reinforced Hybrid Concrete Columns under Biaxial Loading
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Publication Date
Tue Feb 21 2023
Journal Name
Journal Of Risk And Financial Management
A Multidimensional View of Intellectual Capital and Dynamic Innovative Performance
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A review of the literature on intellectual capital development was conducted using systemic criteria for the inclusion of relevant studies. The concepts behind the ideas explored in the present study were discussed in respect to the subject matter. Examining the past state of the art in the intellectual capital sector for achieving high levels of innovation performance provided a multidimensional picture of intellectual capital, innovation performance, and dynamic capabilities. The present review was designed to illustrate the correlation between intellectual capital and innovation performance, as well as the role of dynamic capabilities in moderating the relationship between these constructs. Accordingly, we presented an extensive

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Publication Date
Tue Dec 01 2020
Journal Name
Journal Of Engineering
Impact of Induction Motor Faults on the Basic Parameters' Values
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Unlike fault diagnosis approaches based on the direct analysis of current and voltage signals, this paper proposes a diagnosis of induction motor faults through monitoring the variations in motor's parameters when it is subjected to an open circuit or short circuit faults. These parameters include stator and rotor resistances, self-inductances, and mutual inductance. The genetic algorithm and the trust-region method are used for the estimation process. Simulation results confirm the efficiency of both the genetic algorithm and the trust-region method in estimating the motor parameters; however, better performance in terms of estimation time is obtained when the trust-region method is adopted. The results also show the po

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Publication Date
Thu Mar 01 2018
Journal Name
Journal Of Engineering
Synthesis and Characterization of Nanocrystalline Aluminophosphate AlPO4-5 Molecular Sieve
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Nanocrystalline aluminophosphate AlPO4-5 molecular sieves were synthesized by hydrothermal method (HTS). Synthesis parameters like time and temperature of crystallization were investigated. Type of template (R) and ratio of R/P2O5 were studied also. Characterization of the synthesized AlPO4-5 were done by powder X-ray diffraction (XRD), scanning electron microscopy (SEM/EDX), Fourier transform infrared (FTIR), differential scanning calorimetry-thermogravimetry analysis (DSC-TGA), and N2 adsorption-desorption BET analysis. XRD patterns results showed excellent crystallinity for two types of templates, di-n-propylamine (DPA) and tetrapropyl ammonium hydroxide (TPAOH) f

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