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.
Economic intelligence represents a modern field of knowledge that has been and is still the focus of many studies and research, including this research that deals with economic intelligence and its role in strengthening Iraqi national security - an analytical study. Economic development and economic development without security, and in a situation such as that of Iraq, which is still suffering from conflicts, conflicts and the effects of wars, as well as the unstable conditions in its regional environment, the directions of that relationship cannot be determined except through the availability of accurate information, indicators, full knowledge of reality and the pos
... Show MoreIn the present paper, by making use of the new generalized operator, some results of third order differential subordination and differential superordination consequence for analytic functions are obtained. Also, some sandwich-type theorems are presented.
Melanoidins can be diagnosed using the Fourier transform infrared (FTIR) technique. UV/Vis is an effective tool for both qualitative and quantitative analysis of chemical components in melanoidin polymers. The structural and vibrational features of melanoidin synthesized from D-glucose and D-fructose are identical, according to FTIR spectra, with the only difference being the intensity of bands. Using FTIR spectra, the skeleton of melanoidin is divided into seven major regions. The existence of the C=C, C=N, and C=O groups in all melanoidins formed from fructose and glucose with ammonia is confirmed by the areas ranging from 1600 to 1690 cm-1, and the band is largely evident as a broad shoulder. Both melan
... Show MoreA fuzzy logic approach (FLA) application in the process of stud arc welding environment was implemented under the condition of fuzziness input data. This paper is composed of the background of FLA, related research work review and points for developing in stud welding manufacturing. Then, it investigates thecase of developingstud arc welding process on the controversial certaintyof available equipment and human skills.Five parameters (welding time, sheet thickness, type of coating, welding current and stud shape) were studied.A pair of parameter was selected asiteration whichis welding current and welding time and used fo
... Show MoreIntellectual property rights of all kinds، and their nature، are considered a tool in the hands of their owner that enables him to monopolize the benefits that you confer on them without any dispute or mediation from anyone. Intellectual property on its intellectual product، and preventing others from exploiting it without obtaining the permission of its owner All of this is reflected positively on the progress of the industrial and commercial field، and this justifies the protection provided by the laws regulating intellectual property rights to its owner، whether at the national or international level، and with our recognition of the right of the owner of intellectual property rights to enjoy the exclusive use of his right، and
... Show MoreThe aim of the research is to find out the methods of employing the : Infographics in the news sites due to the different communicative roles of the : Infographics . To achieve the research objective, the researcher used the survey method: the method of analyzing the content to analyze the : Infographics material from the selected sample of the news sites. What was said ? And how was it said? Through the design of a content analysis form that includes a number of studied analysis Infographics of the study.
Cuneiform texts are the most important sources for our knowledge of ancient history and in all political, economic, social and religious fields, as the ancients left us thousands of these texts, which were found through excavations, and hundreds of these texts were stolen and smuggled out of Iraq, and some of these texts were returned after the Jordanian government confiscated them and returned them to the Iraqi Museum. Most of these cuneiform texts were economic texts. In this research, a group of these confiscated cuneiform texts was studied (their number was six texts bearing the following museum numbers, respectively (160609 - 160103 - 160290 - 160102 - 206650 - 206637) dating back to the time of the king of the Larsa dynasty, Rim-Sin (
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In this research we discussed the parameter estimation and variable selection in Tobit quantile regression model in present of multicollinearity problem. We used elastic net technique as an important technique for dealing with both multicollinearity and variable selection. Depending on the data we proposed Bayesian Tobit hierarchical model with four level prior distributions . We assumed both tuning parameter are random variable and estimated them with the other unknown parameter in the model .Simulation study was used for explain the efficiency of the proposed method and then we compared our approach with (Alhamzwi 2014 & standard QR) .The result illustrated that our approach
... Show MoreAfter the fall of the Iraqi regime in the 9th of April 2003, and after the disintegration of the country, political and party political chaos that had never been witnessed before, has now taken over. In the past 2 years, the American military forces had a primary role in spreading this chaos and disorder by applying a set of wrong measures and policies. This chaos that is still affecting the iraqi people was completely ignored by the USA even 2 years after the occupation, no serious steps have been taken in order to bring back order and security, on the other hand, most of the government institutions and its forces were disintegrated, along with the decision made by Paul Bremer of dismissing all the iraqi journals and the workers of the
... Show Moreتم الحصول على 20عزلة من بكتريا Bacillus ، عزلت من مصادر غذائية ومائية مختلفة اختبرت قابلية العزلات على انتاج انزيم الاسبارجنيز وكانت العزلة Bacillus B1 هي الاغزر انتاجاً والتي شخصت على انها احدى سلالات B. subtilis.