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 electronic payment systems are considered the most important infrastructure for the work of banks, particularly after a steady and remarkable development in information and communication technology, Which created the reality of the work of the infrastructure for these systems and these systems also become one of the most important components of infrastructure for the work of banks, cause it is one of the most important channels through which the transfer of cash, financial instruments between financial institutions in general and banking in particular.
In order to achieve the objectives of the research, the most important to identify the concept of electronic payment systems, and its divisions, and th
... Show MoreTo achieve excellence in the quality of performance in school sports administration, which has suffered a lot of problems and constraints on the administrative system, supervision and education level as well as the regulatory environment and available resources available and contribute to the provision of some processors and overcome difficulties to participate in the formation of the individual good of itself and society through sports activities. Hence the importance came this study to create a reference to the quality of the performance criteria school sports from the perspective of supervisors (specialists and technicians) in the districts of breeding Baghdad, to be of help to all those involved in school sports and maintaining an excep
... Show MoreThe research aims to introduce the elders of Imam Al-Ala who died in the year 761 AH. The study showed the prominent role of women in the eighth century AH in the sciences in general and in the hadith in particular. The woman did not depart from the call of divine education in the Almighty saying: Read in the name of your Lord who created * created mankind * created mankind * And your Lord, the Most Generous, who taught with the pen * taught man unless he knows the captive of verses 1-5.
Families in that era had a prominent role in this concern, especially parents. They were attending boys and girls since their childhood, the lessons of scholars, and the benefit of science, and they were
Dada la importancia de la gramática en las lenguas hemos tratado en esta investigación manifestar la importancia de la posición del adjetivo en la lengua castellana y hacer una simple comparación con la lengua inglesa y la lengua árabe.
Los comportamientos de los adjetivos en lo referente a su posición respecto del sustantivo no siguen una fórmula fija. En esta cuestión “no se trata de leyes, sino de tendencias”, como dice Gili Gaya1, la inmensa mayoría de los adjetivos del español son susceptibles de ser colocados antes o después del sustantivo al que sirvan de adjunto. Las formulaciones sobre el orden Sust.+Adj. o el orden Adj.+Sust., por muy genéricas que sean, sufren excepciones,según las preferencias contextualiz
تقدمت احداث النصف الاخير من القرن الماضي من تاريخ العالم الاقتصادي صور كثيرة من التكتلات والاليات التعاونية والتشاركية القائمة على مصادر مختلفة للتجمع الاقتصادي من اهمها شكل الشراكات التجارية والاقتصادية ولها امثلة كثيرة على المستوى الاقتصادي الدولي ومنها الشراكة الاورومتوسطية التي تمثل منطقة حيوية في حسابات التبادل الدولي تجاريا وراسماليا ولكن هذا التشكيل التكتلي يحتاج الى وقفه تخص
... Show MoreAn ancient iraq man lived under sever shadow which led him to be creative for providing instruments that ables him to keep his life with who are near to him, this matter led to appear humanity civilization
This study aims at investigating the partial Islamic rules of preparing and distributing cartoons in order to issue an overall Islamic rul. To reach an end, descriptive and analytical approaches are adopted to clarify the nature of cartoons and other related concepts. The researcher, as well, with reference to verses of the Holy Quran, tradition (Hadith) and Islamic jurists, adopts a deductive approach to issue Islamic rules related to the industry of cartoons and it's distribution
The study consists of three sections. The first Section addresses the following issues: Definition animation; and related wordy. The second Section: Origin of Cartoon's history and it's negative and positive effects. The third Section: Islamic rules related
This research is dealing with Islamic creed faith which would be the prophecy concept. The prophecies subject one greatest creed doors with God’s - high ranking – fortunate - messengers faith is one faith’s six pillars ; though no correct faith to adorer , until the adored completely faith in God’s angels , holly books
In fact, the main idea of the manuscript is to take note of a branch of Islamic jurisprudence, which is the science of jurisprudential jurisprudence and this manuscript in its title and subject dealt to the men of knowledge of jurisprudence because of its ambiguity calls for thinking, and the brainstorming mood to test the intelligence of jurisprudence, Of students of knowledge jurisprudence. This section contains (14) questions starting with the question (26) and ending with (39) in the doors of pray.
Abstract
The present study investigates the effect of acetic acid on corrosion behavior and its potential of hydrothermally sealed anodized AA2319-Al-alloys. Anodizing treatment was performed in stagnant phosphoric acid electrolyte with or without addition of acetic acid. Hydrothermal sealing was carried out in boiling water for each anodized specimen. The open circuit potential of the unsealed and sealed anodized samples was examined using open circuit potential measurement for the purpose of starting in scanning polarization diagrams. The potentiostatic polarization technique measurements were performed to assess corrosion behavior and sealing quality (i.e., degree of sealing) of
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