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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 Apr 02 2017
Journal Name
Journal Of Educational And Psychological Researches
أهم المشاكل الاجتماعية والنفسية المؤدية إلى الإصابة بمرض الزهايمر لدى كبار السن (دراسة ميدانية لعينة من المصابين في مدينة بغداد)
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The most important social and psychological problems that lead to Alzheimer's disease in the elderly (field study of a sample of people living in the city of Baghdad). The research aims to: 1. Identify the most important social, psychological and health problems of elderly people with Alzheimer's disease. 2. The most prominent solutions and treatments for people living with this disease. 3. rehabilitation and provision of social, psychological and medical services for people with Alzheimer's disease. The research stages of Alzheimer's disease and its symptoms and the most important causes of Alzheimer's disease, research has strengthened the theoretical framework. The theoretical study unexplained social pressure generating dealt with Al

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Publication Date
Tue Apr 11 2023
Journal Name
College Of Islamic Sciences
Collision in the dispute between the two imams Shafi’i and Abu Hanifa by Sheikh Mansour bin Muhammad bin Abd al-Jabbar al-Marwazi al-Samani Abi al-Muzaffar (d. 498 AH) from the issue (If one of the Muslim spouses apostatized and one of the infidel spouses
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The science of jurisprudence is one of the legal sciences that scholars have been interested in since the first centuries of Islam, and they wrote many books about it, and the science of manuscripts is considered one of the scientific achievements in which many scholars emerged, including Imam Al-Samaani, so I chose this manuscript related to Istism to clarify its concept and meaning for all people, The student (Ali Ahmed Abdel-Aziz Sheikh Hamad) preceded me in the investigation of part of the book, and it was facilitated for me, by the grace of God Almighty, to investigate the issue (if one of the Muslim spouses apostatized and one of the infidel spouses converted to Islam until the end of the issue of if the two spouses were taken capt

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Publication Date
Sat Dec 31 2022
Journal Name
Journal Of Economics And Administrative Sciences
Using Some Estimation Methods for Mixed-Random Panel Data Regression Models with Serially Correlated Errors with Application
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This research includes the study of dual data models with mixed random parameters, which contain two types of parameters, the first is random and the other is fixed. For the random parameter, it is obtained as a result of differences in the marginal tendencies of the cross sections, and for the fixed parameter, it is obtained as a result of differences in fixed limits, and random errors for each section. Accidental bearing the characteristic of heterogeneity of variance in addition to the presence of serial correlation of the first degree, and the main objective in this research is the use of efficient methods commensurate with the paired data in the case of small samples, and to achieve this goal, the feasible general least squa

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Publication Date
Sun Feb 02 2020
Journal Name
University Of Baghdad, College Of Education For Pure Sciences / Ibn Al-haitham, Department Of Mathematics
Some Types of Perfect Mappings
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The aims of this thesis are to study the topological space; we introduce a new kind of perfect mappings, namely j-perfect mappings and j-ω-perfect mappings. Furthermore, we devoted to study the relationship between j-perfect mappings and j-ω-perfect mappings. Finally, certain theorems and characterization concerning these concepts are studied. On the other hand, we studied weakly/ strongly forms of ω-perfect mappings, namely -ω-perfect mappings, weakly -ω-perfect mappings and strongly-ω-perfect mappings; also, we investigate their fundamental properties. We devoted to study the relationship between weakly -ω-perfect mappings and strongly -ω-perfect mappings. As well as, some new generalizations of some definitions wh

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Publication Date
Mon Jan 01 2007
Journal Name
Ibn Al-hatham J. For Pure & Appl. Sci
ω-Perfect Mappings
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In this paper, we shall introduce a new kind of Perfect (or proper) Mappings, namely ω-Perfect Mappings, which are strictly weaker than perfect mappings. And the following are the main results: (a) Let f : X→Y be ω-perfect mapping of a space X onto a space Y, then X is compact (Lindeloff), if Y is so. (b) Let f : X→Y be ω-perfect mapping of a regular space X onto a space Y. then X is paracompact (strongly paracompact), if Y is so paracompact (strongly paracompact). (c) Let X be a compact space and Y be a p*-space then the projection p : X×Y→Y is a ω-perfect mapping. Hence, X×Y is compact (paracompact, strongly paracompact) if and only if Y is so.

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Publication Date
Wed Jan 01 2025
Journal Name
Karbala Magazine Of Physical Edu. Sciences
تأثير استخدام أدوات وجهاز المرونة المساعد في بعض القدرات الحركية وتعليم مهارة القوس الخلفي على جهاز عارضة التوازن في الجمناستك الفني للنساء.
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Publication Date
Fri Jan 01 2016
Journal Name
Der Pharmacia Lettre
Synthesis, characterization and anticonvulsant evaluation of new derivatives derived from 5-methoxy-2-mercapto benzimidazole
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A new series of 5-methoxy-2-mercapto benzimidazole derivatives were synthesized by the reaction of 5-methoxy- 2-mercaptobenzimidazole with chloroacetic acid and affords 2-((5-methoxy-1H-benzo[d]imidazol-2-yl)thio) acetic acid (1),which on cyclization with acetic anhydride and pyridine gives 7- methoxybenzo[4,5]imidazo[2,1-b]thiazol- 3(2H)-one(2), which on condensation with different aryl aldehydes in the presence of anhydrous sodium acetate in glacial acetic acid, furnishes a arylidene thiazolidinone. The purity of the synthesized compounds was confirmed by melting point and TLC.The structures were established by different spectral analysis such as FTIR,1HNMR, and CHN analysis. The newly synthesized compounds (3a-d) were in vivo evaluated f

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Publication Date
Sun Jan 03 2016
Journal Name
Journal Of Educational And Psychological Researches
مشكلات تدريسيي ومحاضري المواد التربوية والنفسية والاجتماعية في الكليات الاختصاص في جامعة بغداد للعام الدراسي 2013/ 2014 من وجهة نظرهم وطلبتهم
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    Sought researcher to try to detect the type and size of the problems detected in or discovered or exposed or trying to find solutions to them as teachers and lecturers who are studying the educational, psychological and social articles in college studying these materials, whether the jurisdiction or extra materials, and clarified language definitions and terminology for search terms, indicating the importance of research into the problem of these either for teachers or for their students, and prepared a questionnaire organization questions open to get a clear responses and the Organization of the kind of problems faced by the lecturers and their students who are dealing with the educational, ps

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Publication Date
Sun Oct 04 2020
Journal Name
وزارة التخطيط/الجهاز المركزي للتقييس والسيطرة النوعية
تحضير وتشخيص ودراسة نظرية وتجريبية لتثبيط تأكل سبيكة الفا- براص في ماء البحر ‏بفعل مثبط تأكل جديد مشتق من 2-امينوبينزوثايوزول
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يهدف البحث إلى تحضير سلسلة من معقدات العناصر الانتقالية ثنائية التكافؤ(المنغنيز, الكوبلت, النيكل, الخارصين ‏والكادميوم) مع المركب الجديد(‏KL‏) والمشتق من تفاعل ثنائي كبريتيد الكاربون و المركب الوسطي (‏HD‏). شخصت ‏المعقدات ذات الصيغة العامة[‏M(L)2‎‏] بواسطة طيف الرنين النووي المغناطيسي البروتوني والكربوني للمركب الجديد ‏وقياسات الأشعة تحت الحمراء والطيف الإلكتروني ودرجات الانصهار و التوصيلية المولارية و ت

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Publication Date
Wed Oct 17 2018
Journal Name
Journal Of Economics And Administrative Sciences
/ E-Readiness, UTAUT Model, Social Commerce
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Abstract

Objective / Purpose: Online social relationships through the emergence of Web 2.0 applications have become a new trend for researchers to study the behavior of consumers to shop online, as well as social networking sites are technologies that opened up opportunities for new business models. Therefore, a new trend has emerged, called social trade technology. In order to understand the behavioral intentions of the beneficiaries to adopt the technology of social trade, the current research aims at developing an electronic readiness framework and UTAUT model to understand the beneficiary's adoption of social trade technology.

Design/ methodology/ Approach: To achieve the obje

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