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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
Sun Aug 01 2021
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Weighted Residual Method for the System of Nonlinear Volterra Integral Equations of the Second Kind Using an Exponential Function
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The numerical resolve nonlinear system of Volterra integral equation of the second kind (NLSVIEK2) has been considered. The exponential function is used as the base function of the collocation method to approximate the resolve of the problem. Arithmetic epitome are performed which have already been solved by weighted residual manner,  Taylor manner and block- by- block(2, 3, 5).

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Publication Date
Wed Feb 01 2017
Journal Name
Iosr Journal Of Pharmacy And Biological Sciences
Role of Diffusion Weighted MRI in Evaluation of Urinary Bladder Cancer in Iraqi Patient in Correlation with Histopathological Grade.
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Publication Date
Wed Oct 02 2013
Journal Name
Journal Of The College Of Basic Education
Excess parameters of binary mixtures of tetrahydrofurfuryl alcohol with cyclopentanol and 1-pentanol at (293.15, 303.15 and 313.15 K)
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Publication Date
Mon Apr 10 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Effect of Spraying Proline Acid on Morphological Features of Egg plant Solanum melongena L. Exposed to Water Stress
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    The experiment was conducted in the glass house in a  nursery at the growth season 2013.The experiment was designed by  the Completely Randomized Blocks Design(CRBD).The seeds of two varieties of eggplant were studied.They were : 1.Lot (Number)Melaneana  an American species,2.Aydinsiyah a Turkish species.We used three periods of water stress(1,8 ,16)days  respectively, and three concentrations of proline acid (0,50,100) ppm using three frequents for each treatment.The experiment contained 54 experimental unit.The seeds were planted on the 30th/8/2013 in the glass house of the nursery, a month later, we put the plantelet in pots with good  fertilized soil in the glass house.Some growth features were

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Publication Date
Thu Oct 01 2020
Journal Name
Journal Of Engineering
Using a novel approach to determine the pore pressure of West Qurna 15 oil well in South of Iraq
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Pore pressure means the pressure of the fluid filling the pore space of formations. When pore pressure is higher than hydrostatic pressure, it is named abnormal pore pressure or overpressure. When abnormal pressure occurred leads to many severe problems such as well kick, blowout during the drilling, then, prediction of this pressure is crucially essential to reduce cost and to avoid drilling problems that happened during drilling when this pressure occurred. The purpose of this paper is the determination of pore pressure in all layers, including the three formations (Yamama, Suliay, and Gotnia) in a deep exploration oil well in West Qurna field specifically well no. WQ-15 in the south of Iraq. In this study, a new appro

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Publication Date
Sun Apr 02 2017
Journal Name
Journal Of Educational And Psychological Researches
Affect of learning the bag in the acquisition of historical concepts for students in the fifth grade literary history
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The  adopted method in the teaching of history is conservation and indoctrination in all grades, and this will lead to a lack of students interact with teachers in the course of the lesson, and poor use of teachers to questions that raise students' thinking during the lesson, which leads to a lack of interest in the topic of the lesson and wasting opportunities contribution making it the teacher at the center of the educational process, and to provide arrogating the researcher to contribute to teaching style with the belief that the use of this method of teaching could lead to overcome the difficulties and problems faced by the teaching material.

And there are educational complexes integrated approac

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Publication Date
Tue Jan 01 2019
Journal Name
Indian Journal Of Public Health Research & Development
Effect of Sponge Cylinder Exercises on The Rubber of Working Muscles to Perform Human Wheel Skill in Technical Gymnastics
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Publication Date
Tue Dec 30 2014
Journal Name
Scholars Academic Journal Of Biosciences (sajb)
Prevalence and Evaluation of Antimicrobial Activity of Dodonaea viscosa Extract and Antibacterial Agents against salmonella Spp. Isolated from Poultry
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A total of 200 samples (180 fecal materials and 20 organ samples) were collected from (5 different poultry farms, 10 local poultry shops, 5 houses poultry, 5 Eggs stores shops and 5hand slaughters centers) in Ibb city, Yemen, 2014. According to morphological, cultural, as well as biochemical characterization and serological tests, 59(29.5%) isolates were identified as Salmonella spp. and all Salmonella isolates were categorized by serotype, which comprised of, 37(62.71%) Salmonella Typhimurium serovar, 21(35.59%). Salmonella Enteritidis serovar and 1(1.69%) Salmonella Heidlberg serovar. Antibiotic sensitivity test was done for bacterial isolates and the results showed there were clear differences in antibiotic resistant. Antimicrobial

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Publication Date
Thu Dec 15 2022
Journal Name
Romanian Neurosurgery
Mobilization of the temporal pole as integrated step in microsurgical clipping of pure posteriorly directed posterior communicating artery aneurysm
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A pure posteriorly posterior communicating artery (PCoA) aneurysm represents a surgical challenge. This is mainly when there is a need for good exposure of the aneurysmal neck, sac, PCoA, and anterior choroidal arteries. Ruptured pure posteriorly directed PCoA aneurysm imposes significantly extra challenge as the surgeon undergoes dissection through a tight brain. Even with measures commonly used to attain brain relaxation like the lumbar drain and cisternal fenestration. Here, we describe a technique for posterior temporal pole mobilization (TPM) as an integrated part of microsurgical clipping of ruptured pure posteriorly directed PCoA aneurysms. This technique is implicated in twenty-three successive cases of ruptured PCoA aneurys

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Publication Date
Thu Feb 16 1995
Journal Name
. مجلة العلوم الزراعية العراقية 26 (1), 84-87
Effect of GA3 and Pollen Extract on Fruit set and Seed Production of Date Palm Cvs. Zahdi and Khaustawi.‏
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