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 heritage of Imam Ali bin Abi Talib (peace be upon him) replete with Arabic Library, and proud of human civilization, and is one of the Amaadz Islamic culture, but specimens of the world's masterpieces in timeless morality and measure and in thought, conscience and in the performance and literature.
Achieving the Book of Return to the End of the Book of Alimony from the Manuscript of the Forum of the Abhar of the Sheikh (Abraham Bin
Muhammad ibn Ibrahim al-Halabi (d. 956 AH), who was a member of the Hanafi sect, was a long man
Fiqh, interpretation, modernity, Arab sciences, and readings
Hanafi as well as that he was Abid Zahid and the reason for his claim to this book that asked him some
He asked him to take advantage of it
Al-Hanafiya said, mentioning the sources from which he was taken, and presented his opinion and evidence on the correct
He mentioned the issues of the Hanafi jurisprudence in his book according to the chapters of the jurisprudence
Reaction is done to what you have achieved previously in the h
This research a mining at evaluation the efficiency of the nursing performance depended on standards of W.H.O. via application standards of W.H.O on the nursing personnel in medical city office, in light of it, it has design world evaluation list, and a sample was chosen from the nursing personnel in given researched the organization whom they are evaluated according to the standards of W.H.O for the nursing performance included of ten standards, divided in to 45 question , besides the evaluation list, the researcher get assistance of some tools of collection information via actual checking and personal interviews, a number of statistical means were used to manipulate t
... Show MoreBinary mixtures of three, heavy oil-stocks was subjected to density measurements at temperatures of 30, 35 and 40 °C. and precise data was acquired on the volumetric behavior of these systems. The results are reported in terms of equations for excess specific volumes of mixtures. The heavy oil-stocks used were of good varity, namely 40 stock, 60 stock, and 150 stock. The lightest one is 40 stock with °API gravity 33.69 while 60 stock is a middle type and 150 stock is a heavy one, with °API gravity 27.74 and 23.79 respectively. Temperatures in the range of 30-40 °C have a minor effect on excess volume of heavy oil-stock binary mixture thus, insignificant expansion or shrinkage is observed by increasing the temperature this effect beco
... Show MoreThe present work involves studying the effect of electrolyte composition [@1= 0.5 wt.% NH4F / 5% H2O / 5% Glycerol (GLY)/ 90% Ethylene Glycol (EG)] and [ @2= 0.5 wt. % NH4F / 5% H2O / 95% Ethylene Glycol (EG)] on the structural and photoelectrochemical properties of titania nanotubes arrays (TNTAs). TNTAs substrates were successfully carried out via anodization technique and were carried out in 40 V for one hour in different electrolytes (@1, and @2). The properties of physicochemical of TNTAs were distinguished via an X-ray Diffractometer (XRD), Field Emission Scanning Electron Microscope (FESEM), an Energy Dispersive X-ray (EDX), and UV–visible diffuse reflectance. T
... Show MoreCustomers' creditworthiness standards are the key means employed by private commercial banks in assigning a suitable credit assessment for each customer. Accordingly, it had an instrumental role in indicating the degree of solvency of the potential customer before granting the required credit. The research problem reveals the nature of the relationship between the criteria of customer’s creditworthiness and banking liquidity. The most critical objectives of the study shed light on the role of using creditworthiness criteria as a tool for credit analysis of customers by banks that help reducing credit risks and thus increase banking liquidity. The questionnaire that was distributed to bank employees, the research sample, which w
... Show MoreSocial media is known as detectors platform that are used to measure the activities of the users in the real world. However, the huge and unfiltered feed of messages posted on social media trigger social warnings, particularly when these messages contain hate speech towards specific individual or community. The negative effect of these messages on individuals or the society at large is of great concern to governments and non-governmental organizations. Word clouds provide a simple and efficient means of visually transferring the most common words from text documents. This research aims to develop a word cloud model based on hateful words on online social media environment such as Google News. Several steps are involved including data acq
... Show MoreArchitecture has evolved through the ages as forms, relationships, materials and mechanisms according to the data of each era and up to the era of digital technology, where the change in proportions and aesthetic dimensions of contemporary architectural formation due to the capabilities of digitization has created innovative plastic properties using the void formation in the facades and the introduction of void as a formative and aesthetic element, which led to The emergence of new creative concepts and ideas that contradict traditional ideas and are consistent with the spirit of the times, led to a revolution in the world of architectural form at the level of (architectural ideas and the generation of shapes, materials and construction
... Show MoreDada 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
The 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