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.
The auditor has a role in allocating joint costs in the gas industry, and the auditor's procedures are considered as systematic critical examination, analysis and evaluation of everything related to costs in general and joint costs in the gas industry in particular, with the aim of controlling the joint costs of gas industry products, and knowing the share of the cost of each product from the total industry costs Gas products reflect the reality of the company's performance by discovering weaknesses, defects and any errors, to ensure increased effectiveness and efficiency of the parties concerned with auditing them and imposing control and control over the company's resources, as well as
... Show MoreWhite and black chia seeds were used in some food products, such us gluten –free biscuits processing by using rice flour and chia seeds (white and black) with these amonths 112.5, 74.25, 56.25, 27.5 g with 27.5g of quinoa seeds for treatments 1, 2, 3 and 4 respectively, and comparison sensitively with the control treatment which has no additions including the appearance and homogenization of the product, surface cracks, softness, taste and flavor, core color and the specific volume, some microbiological tests were performed for biscuit product after storage for 4 months at 30 and 50°C including bacterial total count and fungal and yeast count, results showed that there weren’t any observation of bacteria or yeast or fungal growth at
... Show MoreThis study was conducted to prepare protein concentrates from AL-Zahdidate’s pits by using alkaline methods where the chemical composition of the pits were (7.30, 1.04, 5.80, 8.68 and 77.19) % for each of the moisture, ash, protein, fat and carbohydrates respectively and the chemical composition of the concentrate protein was (6.62, 4.10, 26.70, 0.93, and 58.65) % respectively. The content of protein concentrate from the metallic elements (144.07, 25.11, 15.02, 0.49, 0.59, 0.27, 0.22 and 234.6) mg/ 100 g each of potassium, magnesium, calcium, iron, manganese, copper, zinc and phosphorus respectively. The results of SDS-PAGE showed five bands with weights molecular ranged between 11000-70000 Dalton. Give the biscuit which contain protei
... Show MoreThe aim of this study is to identify the effect of enabling the effectiveness of the work of the audit committees in private commercial banks and to identify the extent of awareness of the importance of empowerment in the work of these committees, especially as it is known that these committees, especially the inspection committees that go to private banks and from various sources including committees of the Central Bank of Iraq Committees of the Securities Commission and finally committees of the external audit offices, through an analysis of the determinants of empowerment in the performance of the most important work of the audit committees, namely: supervising the process of preparing reports, supervising the system of intern
... Show MoreThis research deals with the financial reporting for non-current assets impairment from the viewpoint of international accounting standards, particularly IAS 36 "Impairment of non-current assets." The research problems focus on the presence of internal and external indicators on impairment of non-current assets in many of companies listed in Iraqi stock exchange. So it is required to apply IAS 36 to reporting for the impairment loss of assets since this impairment impact certain financial indicators. These indicators help users in their decision-making and forecasting future financial situation and the ability of the company to achieve future profits or maintain current profits. The research aims to shedding lig
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The aim of the research is to identify the effect of instructional design according to Kagan structure among the first intermediate school student’s, and how skills could help in generating information in mathematics. In accordance with the research objectives, the researcher has followed the experimental research method by adopting an experimental design with two equivalent groups of post-test to measure skills in generating information. Accordingly, the researcher raised two main null hypotheses: there were no statistically significant differences at the level of significance (0.05) between the average scores of the experimental group who studied the material according to Kagan structure and th
... Show MoreAbstract:
The issues related to foreign trade is a broad field for discussions and captures the interest of economists for their contribution to the process of economic development in the economies of the countries, especially developing ones. The imports of goods and services in foreign trade constitute an important part of the local by which the economy gets goods and services that the economy cannot produce because of the incompetent base of production. Further, the demand function of imports occupied a good deal of the attention of researchers in the field of international economics for which agricultural imports constitute an important part. The reason for the interest in the subject is due to its im
... Show Moreت لا نم ظ او ره لا يأ لاح اهلاح رضاحلا رصعلا يف ةريطخ ه ةوشرلا لثم ةيداصتقا ةميرج ديعصلا ىلع ةيبلس بقاوع اهل يتلاو زازتبلااو لاوملأا لسغو ني ىلا ةجاحلا تءاج انه نم ، يداصتقلااو يعامتجلاا تاسسؤم لبق نم اهينبت يغبني يرادلإاو يلاملا داسفلا نم دحت تامدخو بيلاسأو تاينقت ةيلاملا مئارجلا نم دحلل ةلودلا اع ىلع عقت يتلا تاسسؤملا نمو ةيئاصقتسلاا ةبساحملا وا ةيئاضقلا ةبساحملاب تلثمت ةيداصتقلاا تادحولا يف ينبت اهقت ة
... Show Moreتناول البحث دراسة خمسة نصوص مسمارية لقروض غير منشورة من سلالة أور الثالثة وتحليلها وترجمتها وهي من مجموعة المتحف العراقي, يعود تاريخها الى زمن سلالة أور الثالثة (2012-2004ق.م) تحديدا الى زمن الملكين شوسين (2037- 2029ق.م) وابي سين (2028-2004 ق.م), اما مضامينها فهي قروض بمادتي الشعير(ثلاثة نصوص) الفضة (نصان), والقروض على نوعين قروض بفائدة (ur5 - ra), وقروض بدون فائدة (maš2 - nu - tuk), وقد حددت نسبة الفائدة في القروض 1/3 33% لمادة الشعير و20% لما
... Show MoreThat grammatical studies, a phenomenon of the Arabic language,
enabling the researcher during his research of the development of sentences,
textual analysis, to be the result of that meaning semantic of a sentence, and
the statement of the function the individual, in terms of its meaning in
context, and a link to the meaning lexical give indications of the current
single, and correlation analysis II , in terms of significance with the current
status syntactic to that individual, and these of the most important features of
grammatical studies of modern, based on the relationship structure sense, and
the relationship of the meaning of the structure, we looked for Aiklo for such
a study, Koran, all meanings and co