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.
الحمد لله خالق الأكوان، وبارئ الإنسان، عظيم الشأن والإحسان، والصلاة والسلام على خاتم الأنبياء والمرسلين الصادق الأمين محمد وعلى آله الطيبين الطاهرين وعلى من سار على هديه بإحسان إلى يوم الدين.
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فالقرآن الكريم هو ذروة الفصاحة والإعجاز والسلامة اللغوية يمثل بقراءاتهِ القرآنية المتعددة: المتواترة والشاذة والآحاد أصلا أصيلا للنحو العربي يحتج به في إقامة
... Show MoreKHalaf Alhmar and what we get from his poem
That 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
Water scarcity is one of the most important problems facing humanity in various fields such as economics, industry, agriculture, and tourism. This may push people to use low-quality water like industrial-wastewater. The application of some chemical compounds to get rid of heavy metals such as cadmium is an environmentally harmful approach. It is well-known that heavy metals as cadmium may induce harmful problems when present in water and invade to soil, plants and food chain of a human being. In this case, man will be forced to use the low quality water in irrigation. Application of natural materials instead of chemicals to remove cadmium from polluted water is an environmental friendly approach. Attention was drawn in this research wor
... Show Moreהריאליזם הספרותי במשמעו הכללי מצייג אשר כל מה מציינת בה הספרות מציורים מדוייקים לסביבה ולכן
אדם. ויש להתחשב בפרטים המשותפים לחיים היומיומית.
האסכולה הריאליזטית מצטיינת בזיאנרים אין זוכים בם איזו אסכולה ספרותית אחרת . האסכולה הזאת
הופיעה בספרות העברית החדשה כתוצאה להשפעתה של הספרות העברית בספרות העולמית האחרת ,
והמספרים העבריים בתנוטה הספרותית החדשה השתדלו במאמצים גדולים למען להתפתח את התנועה הזאת
Care and attention to the structure in the sixties of the last century replaced the mark, and if the structure of Ms. pampered in research and studies, it has become the mark is also a spoiled lady .. But the relationship between the structure and the mark was not a break and break, but the relationship of integration, His themes are structural analysis, and these are intellectual themes that can not be surpassed in contemporary research, especially since semiotics have emerged from the linguistic inflection.
We have tried to distinguish between text and speech, which is a daunting task, as it seems that whenever the difference between them is clear and clear, we come back to wonder whether the text is the same discourse, and is
... Show MoreIn the current digitalized world, cloud computing becomes a feasible solution for the virtualization of cloud computing resources. Though cloud computing has many advantages to outsourcing an organization’s information, but the strong security is the main aspect of cloud computing. Identity authentication theft becomes a vital part of the protection of cloud computing data. In this process, the intruders violate the security protocols and perform attacks on the organizations or user’s data. The situation of cloud data disclosure leads to the cloud user feeling insecure while using the cloud platform. The different traditional cryptographic techniques are not able to stop such kinds of attacks. BB84 protocol is the first quantum cry
... Show MoreThis study deals with The Millstone (1965) which is a dramatic depiction of a single
mother heroine in a classic predicament. This novel is considered as representative of the age
in which it was written. The primary theme is her intense preoccupation with questions of
fatalism and will. The work also involves, both explicitly and implicitly, feminist concerns.
Because the central protagonist is a woman and the society in which she lives is depicted,
accurately, as deeply patriarchal and class-bound, the problem of the individual's capacity for
self-determination is inevitably tied to the feminist perspective.
God Almighty sent down the Noble Qur’an to guide people in all areas of their lives, including the field of functional business.
A mathematical model is developed which predicates the performance of cylindrical ion exchange bed involving comparing of axial dispersion model for cation exchange column with different assumption, this model permits the performance to predicate the residence time within the bed with the variance, axial dispersion and Pecklet No. to indicated deviation from plug flow model.
Two type of systems are chosen for positive ions first with divalent ions (Ca+2) to exchange with resin of Na+1form used as application in water softener units and second with monovalent ions (Na+1) to exchange with resin of H+1 form used as application in deionize water units &n
... Show More