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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 Jun 30 2012
Journal Name
Al-kindy College Medical Journal
Ultrasound of the Rotator Cuff: A Comparison of Ultrasonographic and Physical Examination Finding in Seventy Consecutive Cases
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Background : Shoulder pain is a common problem that can pose difficult diagnostic and therapeutic challenges for the family physician It is the third most common musculoskeletal complaint in the general population, and account for 5% of all general practitioners musculoskeletal consults
Objective: To determine the diagnostic performance of ultrasonography compared with the physical examination for detection of rotator cuff tears in painful shoulder syndrome.
Method: Prospective study was done on seventy patients (48 male, 22 female), age ranged between 30-70 years (mean age 50 years), From February 2007 to July 2011, were subjected to comparative study in Al-Kindy teaching hospital with rotator cuff tears, including physical and ul

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Publication Date
Sun Feb 08 2026
Journal Name
Journal Of Engineering
Calculation Of Volumeteric And Thermodynamic Properties For Pure Hydrocarbons And Their Mixtures Using Cubic Equations Of State
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Publication Date
Wed Dec 01 2021
Journal Name
Journal Of Physics: Conference Series
Study of the matter density distributions of halo nuclei 6He and 16C using the binary cluster model
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The harmonic oscillator (HO) and Gaussian (GS) wave functions within the binary cluster model (BCM) have been employ to investigate the ground state neutron, proton and matter densities as well as the elastic form factors of two- neutron 6He and 16C halo nuclei. The long tail is a property that is clearly revealed in the density of the neutrons since it is found in halo orbits. The existence of a long tail in the neutron density distributions of 6He and 16C indicating that these nuclei have a neutron halo structure. Moreover, the matter rms radii and the reaction cross section (𝜎𝑅 ) of these nuclei have been calculated using the Glauber model.

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Publication Date
Fri Nov 01 2019
Journal Name
Journal Of Physics: Conference Series
The Bifurcation analysis of Prey-Predator Model in The Presence of Stage Structured with Harvesting and Toxicity
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Abstract<p>For a mathematical model the local bifurcation like pitchfork, transcritical and saddle node occurrence condition is defined in this paper. With the existing of toxicity and harvesting in predator and prey it consist of stage-structured. Near the positive equilibrium point of mathematical model on the Hopf bifurcation with particular emphasis it established. Near the equilibrium point E<sub>0</sub> the transcritical bifurcation occurs it is described with analysis. And it shown that at equilibrium points E<sub>1</sub> and E<sub>2</sub> happened the occurrence of saddle-node bifurcation. At each point the pitch fork bifurcation occurrence is not happened. </p> ... Show More
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Publication Date
Fri Jun 01 2012
Journal Name
Advances In Materials Physics And Chemistry
The Effect of Zn Concentration on the Optical Properties of Cd10–xZnxS Films for Solar Cells Applications
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ABSTRACT:In this paper, Cd10–xZnxS (x = 0.1, 0.3, 0.5) films were deposited by using chemical spray pyrolysis technique, the molar concentration precursor solution was 0.15 M/L. Depositions were done at 350°C on cleaned glass substrates. X-ray dif- fraction technique (XRD) studies for all the prepared film; all the films are crystalline with hexagonal structure .The optical properties of the prepared films were studied using measurements from VIS-UV-IR spectrophotometer at wave- length with the range 300 - 900 nm; the average transmission of the minimum doping ratio (Zn at 0.1%) was about 55% in the VIS region, it was decrease at the increasing of Zn concentration in the CdS films, The band gap of the doped CdS films was varied as 3.7, 3

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Publication Date
Tue Jun 15 2021
Journal Name
Al-academy
Features of Modernity in the Works of Saleh Al-Jami (An Analytical Study): رؤى قحطان عبد الله
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Since the beginning of the twentieth century, the art of composition has witnessed major transformations that accompanied the transformations that occurred in the cognitive field. The plastic artists rejected the prevailing artistic line, and sought to create a new artistic format that accommodates the new social and cultural problems. So was the announcement of the era of modernity in the late nineteenth century, with the birth of the impressionism movement that gave a place to challenge all that is familiar. . And he drew the attention of the researcher, and for that he chose the research title (Characteristics of Modernity in the Works of Saleh Al-Jumayyi (Analytical Study)) The researcher divided the research as follows:
Methodolo

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Publication Date
Wed Oct 07 2020
Journal Name
Indian Journal Of Forensic Medicine &amp; Toxicology
The Synergistic Effect of Combining Some Antibiotics with Powder of Silver NPs, Copper NPs and Titanium NPs
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Publication Date
Thu Nov 01 2018
Journal Name
Journal Of Economics And Administrative Sciences
The role of compensation system in improving the quality of educational services (Halabja University as a model)
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          This study deals with the role of compensation system in improving the quality of educational services (University of Halabja as a Model) also our problem was the following question ; What is the role of compensation system in its different dimensions in improving the quality of educational services? And what is the relationship and impact of using the dimensions of the compensation system to improve the quality of educational services? The hypothesis of the research included the correlation and the impacts between the compensation system and its combined variables in the quality of educational services. This was proved through a field study and the distribution of questionn

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Publication Date
Sun Oct 07 2012
Journal Name
Journal Of Educational And Psychological Researches
Problems that facing the philosophy of education in the variables of knowledge and Informatics society (techno _ social).
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This research includes problems that facing the philosophy of education in the variables of knowledge and Informatics society (techno _ social).

 The problematic research included three questions:

 1- What are the concepts and characterization related to the problematic of relationship between the philosophy of education and informatics variables (techno - social).

2-What kind of problems facing speech philosophy of education in the variables information (techno - social)

  3 - What are the perceptions of educational proposed to address problematic philosophy of education in the scope of human (human nature) and (values ​​and morals), in addition the research may explain the co

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Publication Date
Tue Jan 01 2019
Journal Name
Plant Archives J.
Effect of planting distance on yield and yield components of four introduced upland rice varieties underaerobic conditions
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