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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 Jan 01 2022
Journal Name
Open Engineering
Geotechnical correlations of soil properties in Hilla City – Iraq
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Abstract<p>In this research, the geotechnical properties of the soil profile in Hilla city within Babylon Governorate in the middle parts of Iraq are described. The geotechnical data at the specific sites were collected from some geotechnical investigation reports performed at some selected locations. This article is devoted to studying the distribution of soil properties (the physical and mechanical) in the horizontal and vertical directions. Moreover, a correlation between different physical and mechanical properties is performed. The correlation is executed using statistical analysis by Microsoft Excel Software (2016). From the regression results, it was found that the nature of the soil is c</p> ... Show More
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Publication Date
Wed Jan 10 2024
Journal Name
The American Journal Of Interdisciplinary Innovation And Research
SUBJECT: REVIEW METHODS OF DETECTING SUGAR IN A SAMPLE
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Publication Date
Mon Mar 27 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Phytochemical Investigation and Antioxidant Activity of Iraqi Tribulus terrestris
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The aim of the present study was to characterize the Iraqi Tribulus terrestris for the presence of biologically active phyto-chemicals using methanolic extracts of the plant (aerial parts) by Gas Chromatography –Mass spectrometry (GC/MS), while the mass spectra of the compounds found in the extract was matched with the National Institute of Standards and Technology (NIST) library , in addition to study the antioxidant activity of plant extract , results confirmed the presence of therapeutically potent compounds in the Iraqi Tribulus terrestris extract predominantly alkaloids, flavonoids, saponins, tannins and terpenoids. Antioxidant potential of Iraqi Tribulus terrestris

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Publication Date
Mon Dec 03 2018
Journal Name
Journal Of Engineering
Thermal Properties of Lead-Acid Battery Plastic Lightweight Concrete
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This study investigates the possibility of using waste plastic as one of the components of expired lead-acid batteries to produce lightweight concrete. Different percentages of lead-acid battery plastic were used in the production of lightweight concrete. The replacements were (70, 80 and 100%) by volume of the fine and coarse aggregate. Results demonstrated that a reduction of approximately 23.6% to 35% in the wet density was observed when replacement of 70% to 100% of the natural aggregate by lead-acid battery plastic. Also, the compressive strength decreased slightly with the increase in plastic content at different curing ages of 7, 28, 60, 90, 120 days. The lowest value of compressive strength was (20.7 MPa) for (wa

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Publication Date
Thu Jun 30 2011
Journal Name
Al-khwarizmi Engineering Journal
Evaluating the Performance of Sharq Dijila Water Treatment Plant
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The study aims mainly to evaluate the performance of Sharq Dijila water treatment plant in removing turbidity for the period of 1-4-2001 to 31-3-2004. Daily data for turbidity of raw, clarified, filtered, and supplied water were analyzed. The results of the study showed that there is a wide variation in turbidity levels of raw water fluctuating between 10-1000 NTU with mean value of 41.3 NTU. Turbidity values of the clarified water varied between 1.4-77 NTU. Based on the turbidity value of 10 NTU and 20 NTU (the design maximum turbidity) the readings gave an acceptable percentage of 32.4% and 86% respectively. The turbidity of filtered water ranged between 0.2-4.5 NTU which are completely in compliance with Iraqi and WHO standards. In ac

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Publication Date
Mon Apr 05 2021
Journal Name
Turkish Journal Of Computer And Mathematics Education (turcomat)
Role of Virtual Reality Technologies in Iraqi Educational Spaces
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The world seen rapid developments in the field of information technology within all life fields, particularly the educational field. Usually, we find the traditional educational methods lack a sense of realism and interaction. Solving this problem is by utilizing virtual reality technology to make actual practice present in the classroom. As an interactive technology, it provides students with an accessible, reliable environment that was previously unavailable and offered an opportunity for learning by practicing instead of teacher-centered learning and within a vision that does not look at the past but looks to the future. Virtual reality technology will change the nature of the relationship between the teacher and the student. Thus, the c

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Publication Date
Sat Mar 31 2018
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Synthesis of Nano Crystalline Gamma Alumina from Waste Cans
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In the present study waste aluminium cans were recycled and converted to produce alumina catalyst. These cans contain more than 98% aluminum oxide in their structure and were successfully synthesized to produce nano sized gamma alumina under mild conditions. A comprehensive study was carried out in order to examine the effect of several important parameters on maximum yield of alumina that can be produced. These parameters were reactants mole ratios (1.5, 1.5, 2, 3, 4 and 5), sodium hydroxide concentrations (10, 20, 30, 40, 50 and 55%) and weights of aluminum cans (2, 4, 6, 8 and 10 g). The compositions of alumina solution were determined by Atomic absorption spectroscopy (AAS); and maximum yield of alumina solution was 96.3% obtain

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Publication Date
Thu Jan 01 2015
Journal Name
The Iraqi Postgraduate Medical Journal
Aesthetic results of superomedial pedicle technique in reduction mammaplasty
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ABSTRACT: BACKGROUND: Breast reduction for mammary hypertrophy is a highly effective procedure with high degree of patient satisfaction. There are many methods of breast reduction which involve removal of excess tissue with reshaping of overlying skin while maintaining a viable nipple areolar complex. OBJECTIVE: The purpose of this study is to evaluate the use of the superomedial technique as an effective method for reduction mammoplasty. PATIENTS AND METHODS: A total of 30 patients underwent reduction mammoplasty by utilizing superomedial pedicle technique between 2010 and 2013. Those patients were evaluated postoperatively in terms of their aesthetic and functional satisfaction, viability of nipple – areolar complex and nipple sensory p

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Publication Date
Mon Jun 05 2023
Journal Name
Journal Of Engineering
Historical Paths and the Growth of Baghdad Old Center
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Urban growth of cities is connected with three related problems, the first one, is the deterioration of the center, which is a mark for historical origin. The second is the emergence of city edge, which contradicts by the center. The third one is the rapid semi urbanism of the edge. Literature review showed that Baghdad historical center (Old Rusafa and Karkh) had grown in four morphological stages, during which main paths had been changed from those which were perpendicular to the river front to those parallel to it. Research problem is that “there is a knowledge gap about the direction and origin of paths within Baghdad old center, after its growth”. The first research hypothesis is, “the direction of paths within old Baghdad cen

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Publication Date
Tue May 16 2023
Journal Name
Political Sciences Journal
The Role of Iraqi Woman in the 2021 Elections
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After the political change in Iraq in 2003, Iraq witnessed a stage of social and political development and the strengthening of the legal foundations of the state system, by the approval of the permanent Iraqi constitution of 2005, and stipulating the quota system.

Iraqi women participated in the parliamentary elections from 2005 until 2021, and despite the participation of Iraqi women in all elections, there are challenges that women in Iraq face that prevent their political participation in general and participation in parliament in particular. There are factors behind this, including those related to Iraqi women themselves, including those concerning the political institution and factors related to the nature of society, and it

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