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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 Mar 01 2009
Journal Name
Baghdad Science Journal
Synthesis of Some New 1,2,4-Triazoles Derived from 2-Mercaptobenzimidazole
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New 1,2,4-triazole derivatives of 2-mercaptobenzimidazole (MB) are reported. Ethyl (benzimidazole-2-yl thio) acetate (1) has been prepared by condensing 2-mercaptobenzimidazole with ethylchloroacetate. The ester (1) on reacting with hydrazine hydrate gave the corresponding acetohydrazide(2)which was reacted separately with phenylisocyanate and phenylisothiocyanate, followed by ring closure in an alkaline medium giving 3-[(benzimidazole-2-yl thio) methyl]-4-phenyl-1,2,4-triazole-5-ol and 3-[(benzimidazole-2-yl thio) methyl]-4-phenyl-1,2,4-triazole-5-thiol respectively (6,7). Reaction of acetohydrazide (2) with CS2 and ethanol/KOH, gave dithiocarbazate salt (8). Cyclization of (8) with hydrazine hydrate gave 3-[(benzimi

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Publication Date
Mon Feb 04 2019
Journal Name
Journal Of The College Of Education For Women
Mystic love poems in the poetry of Atika Al-Khazraji
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We deal with this essay about religious mystic poetry of Atika Al-
Khazraji. We think she imitates Rabia Al-Adawiyya. We do not deny that our
poetess lived in a conservative society although she lives in reality a liberal
life, so she tries to satisfy her society. In fact these mystic poems are pure
love. Poems in men.
This double standard behavior is quite clear in women’s poems in the
Arab world of this era.

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Publication Date
Mon Jul 01 2024
Journal Name
Iop Conference Series: Earth And Environmental Science
Refinement of Internal-Combustion Engine Oil Properties Via Magnetic Flux
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Abstract<p>To verify the influence of magnetic flux on the characteristics of SAE 10W-30 gasoline engine oil when the engine oil is exposed to different magnetic fluxes 0, 6, 9, and 13 Volt. The following oil characteristics were measured: viscosity at 40 and 100 °C, and total acid number (TAN) mg KOH/g. The research was carried out in a completely randomized design with three replications for each treatment under the 5% probability level to compare the means of the treatments. The results of the experiment showed that there were significant differences in the studied properties when the engine oil was exposed to the above magnetic fluxes and, inversely, especially the magnetic flux of 13 Volt,</p> ... Show More
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Publication Date
Sun Jan 21 2018
Journal Name
Drug Invention Today
Preparation and evaluation of lornoxicam in situ gelling liquid suppository
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Publication Date
Tue Aug 01 2017
Journal Name
International Journal Of Science And Research
Surface properties of different heat treated titanium alloy dental implants
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Titanium alloy surface properties have an essential role in the interaction of dental implants with bone, and alteration of the surface of the implant could improve osseointegration. This study was designed to investigate the effect of different heat treatment temperatures on titanium alloy surface properties for dental implants. The effect of different temperatures of heat treatment (750°C, 850°C, 950°C and 1050°C) were investigated on the surface topography, surface chemistry, titanium oxide layer thickness, blood contact angle, & blood drop diameter of titanium alloy. The disks were prepared from titanium alloy (Ti-6Al-4V) and the samples were divided into five groups depending on the different temperatures of heat treatment. The hea

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Publication Date
Tue Sep 14 2010
Journal Name
Journal Of Polymers And The Environment
Mechanical and Thermal Properties of PLLA/PCL Modified Clay Nanocomposites
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Poly(L-lactic acid) (PLLA)/poly(caprolactone) (PCL) and two types of organoclay (OMMT) including a fatty amide and ocatdecylamine montmorillonite (FA-MMT and ODA-MMT) were employed to produce polymer nanocomposites by melt blending. Materials were characterized using X-ray diffraction (XRD), Fourier transform infrared (FTIR) spectroscopy, thermogravimetric analysis (TGA), elemental analysis, scanning electron microscopy (SEM) and transmission electron microscopy (TEM). Mechanical properties were also investigated for these nanocomposites. The nanocomposites showed increasing mechanical properties and thermal stability. XRD results indicated that the materials formed nanocomposites. SEM morphology showed that increasing content of OMMT reduc

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Publication Date
Tue Mar 15 2022
Journal Name
Al-academy
Bionic and its reflections in the design of industrial products
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The current research dealt with the development of sciences and arts over the course of human history, and the development of sciences with their natural and human trends are important areas in developing the knowledge and application base for industrial product design and design in its various fields. Bionic science is one of the sciences that works on applying biological methods and systems found in nature to study and design engineering systems and modern technology, and for industrial products to be highly efficient, durable and resistant to natural variables in daily life for use. The transfer of technology between life forms and industrial products is desirable because the processes of development at the level of science in general

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Publication Date
Sat May 27 2023
Journal Name
Online Journal Of Animal And Feed Research
Phylogenetic identification of Anaplasma phagocytophilum in horses in Baghdad, Iraq
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This study aimed to detect Anaplasma phagocytophilum in horses through hematological and molecular tests. The 16S rRNA gene of the Anaplasma phagocytophilum parasite was amplified by polymerase chain reaction (PCR), then sequenced, and subjected to phylogenetic analysis to explore "Equine Granulocytic Anaplasmosis" (EGA) infection in three important gathering race horses areas in Baghdad governorate, Iraq. Blood samples were obtained from 160 horses of varying ages, three breeds, and both sexes, between January and December 2021. Prevalence and risk variables for anaplasmosis were analyzed using statistical odds ratio and chi-square tests. Results demonstrated that clinical anaplasmosis symptoms comprised jaundice, wei

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Publication Date
Wed Jun 14 2023
Journal Name
Al-academy
The Popular Imagination in the Sculpture of Muhammed Ghani Hikmat
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Talking about the importance of the imagination in sculptural works has a role in shaping the collective memory and moving it, whether it is an artistic, social, religious or historical imagination. Because it documents the cultural heritage of any country through the structural structure of the sculptural form, and its connotations and symbols, which are considered an effective aesthetic image in the crystallization of various intellectual concepts and contents.
Therefore, the study aimed to know the employment of the popular imagination in the artistic works of the sculptor (Muhammad Ghani Hikmat), as well as to reveal the artistic and aesthetic features of the folklore and its reflection on its artistic style. And the references

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Publication Date
Wed Feb 07 2024
Journal Name
Egyptian Journal Of Chemistry
Spectrophotometric Estimation of Methyldopa Drug in pure and pharmaceutical formulations
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