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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
Fri Apr 05 2024
Journal Name
Tikret Journal Of Agricultural Sciences
Effect of adding Humic acid and spraying Boric acid on Growth and Yield of cauliflower Brassica oleracea var. botrytis
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Publication Date
Sat Sep 23 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Isoscaler and isovector for one body of magnetic dipole transitions of Ba(A=130- 136) isotopes using IBM-1
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Isoscalar   and  isovector   for  one   body  of  magnetic   dipole transitions    of   even even   Ba   (A=l30-136)  isotopes   have   been calculated using IBM-1 . The present calculations are predicted that the maximum   values    of   magnetic    dipole   reduced   matrix   clement (11  II fr.·Hil lll1 

l

 
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Publication Date
Sun May 04 2025
Journal Name
Journal Of Economics And Administrative Sciences
The role of public relations in enhancing the quality of governmental service-a Field study in the Iraqi Airlines
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Publication Date
Fri Jun 18 2004
Journal Name
Iraqi Journal Of Laser
Effect of Operating Temperature on Performance of Obliquely Deposited Bi, Sb and Bi-Sb Semimetal Thin Film Laser Detectors
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Obliquely deposited (70o) Bi, Sb, and Bi-Sb alloy thin films have been prepared by thermal
resistive technique. Structural properties of these films were studied using XRD. Their resistance and
voltage responsivity for Nd:YAG and CO2 laser pulses have been recorded as function of operating
temperature between 10 oC and 120 oC. It was found that the maximum responsivity for these detectors
can be obtained at 75 oC. On the other hand, the dependence of responsivity on the width of detectors was
investigated.

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Publication Date
Fri Jun 01 2012
Journal Name
Journal Of Economics And Administrative Sciences
Analysis of liquidity and profitability of general price level changes Applied Study State company for Glass and Ceramic industry
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     The accountants are preparing the financial statements under the Monetary Unit Stability Assumption without taking into consideration the changement of prices for the monetary unit. The income statement accounts containing different items of expenses and revenues. These items are not paid or obtained at one date, because the value of monetary unit is changing from one date to another , also the financial position contains different items of current and fixed assets, also contains different items of long-term liabilities and ownership rights, the continuity of applying historical cost principle will make the financial statements misleading, The adoption of financial analyst of these statements will affects

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Publication Date
Wed Mar 30 2022
Journal Name
Journal Of Educational And Psychological Researches
Employing electronic supervision applications in developing the teaching performance of teachers in the Sultanate of Oman: a suggested vision
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The study aimed to investigate the employment of electronic supervision applications in developing the teaching performance of teachers in Oman. Based on the qualitative method and the study population consisted of all the teachers of the first cycle in the Governorate of Muscat. The study sample amounted to 24 female teachers. The interview was used as a tool for data collection. The study reached several results, including: There are difficulties in employing electronic supervision applications, which are weak network, density of curricula, lack of experience in applying technology, and the large number of tasks assigned to the teacher. These difficulties can also be overcome by strengthening the network, training teachers, reducing th

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Publication Date
Sun May 04 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Histological evaluation of local application of collagen I and /or vascular endothelial growth factor (An experimental study in rats)
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Background: The study was designed to evaluate the effect of local application of exogenous VEGF/collagen I separately and as a combination in socket healing. Sixty male Albino Wistar rats were subjected for a surgical tooth extraction of upper 1st molar of both sides (right side was considered as experimental site, while left be the control one, treated with 1µL of normal saline). The rats were scarified at 3, 7, 14, 28 days post extraction. Socket healing was histologically examined with immunohistochemistochemical localization of ALP&FGF2. Materials and Method: Sixty male Albino Wistar rats were subjected for a surgical tooth extraction of upper 1stmolar of both sides (right side was considered as experimental site, while left be the

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Publication Date
Sun Mar 01 2020
Journal Name
Plant Archives
EVALUATION THE ACTIVITY OF SOME MEDICINAL PLANTS EXTRACTS AS PROMOTER ROOTING FOR STEM CUTTINGS OF ROSEMARY (ROSMARINUS OFFICINALIS L.)
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This study was conducted in the botanical garden, Department of biology, College of Science / Mustansiriyah University in spring season, where the starts from (15 February to 15 March, 2019). Under the natural environmental conditions in the greenhouse in order to evaluate the effectiveness of some plant extracts as a promoter for rooting the apical stem cutting of rosemary plants at different concentrations compared with the IBA growth regulator. Plant extracts are Parsley (Petroselinum crispum), Dill (Anethum graveolens) and date palm fruits (Phoenix dactylifera) were used with concentrations (0, 1.25, 2.5 g / l). The IBA concentration was (100 mg / L) with dipping time 24 hour for all treatments. The following measurements were taken aft

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Publication Date
Wed Apr 26 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
First Record of the Monogenean Gyrodactylus lavareti Malmberg, 1957 in Iraq on Gills of the Common Carp Cyprinus Carpio
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The monogenean Gyrodactylus lavareti Malmberg, 1957 is recorded here in the present study for the first time in Iraq from gills of the common carp Cyprinus carpio. This is the twentieth gyrodactylid species to be recorded from fishes of Iraq. The description and measurements of this parasite as well as its illustration were given.   
 

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Publication Date
Wed Oct 11 2023
Journal Name
Journal Of Educational And Psychological Researches
The Effectiveness of Deductive Group Pattern in Developing the Creative Thinking of Second Intermediate Grade Pupils in History Discipline
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The present study aims to identify the effectiveness of deductive group patterns in developing the creative thinking of second-intermediate-grade pupils in history discipline. The current null hypothesis has been investigated: There are no statistically significant differences at (0.05) between the scores mean of the experimental group pupils who were taught according to the deductive group pattern and the scores mean of the control group pupils who were taught according to traditional method in creative thinking testing. the study sample was divided into two groups: an experimental group of (30) female students and a control group of (31) female students. The two groups are equalized based on the variables of age, the scores of the firs

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