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.
تعد النصوص المسمارية من اهم الوثائق التي رفدتنا بمعلومات غزيرة عن واقع الحياة اليومية في العصر البابلي القديم المتميز بتطور النشاط الاقتصادي فيه وازدهاره. وتضمن هذا البحث دراسة وتحليل لخمسة نصوص مسمارية اقتصادية غير منشورة وهي من نصوص المتحف العراقي (المصادرة) المجهولة الموقع والمصدر وهي ذات مضامين اقتصادية , ولم نستطع اثبات عائدية النصوص وذلك لانها لاتحمل صيغ تاريخية تشير الى عائدتيها باستثناء النص الا
... Show MoreJurisprudence is one of the most honorable sciences in value, and the greatest of them in reward. Through it, the rulings of religion are known. He, may God’s prayers and peace be upon him, said: ((Whoever God desires good, He gives him understanding of religion)), and through it, the legal rulings and what is related to them are known from what is permissible and forbidden.
And prayer is the believer’s ascent to his Lord, with which the heart is at peace and the soul is at ease. If he, may God’s prayers and peace be upon him, was overwhelmed by an issue or something became difficult for him, he would panic in prayer and be reassured by it. It was necessary for the students of knowledge to investigate its aspects and its secrets
تم الحصول على 4 عزلات من بكتريا Bacillus sp ودرست قدرتها على انتاج الكايتنيز حيث اظهرت نتائج الغربلة الكمية ان العزلة Bacillu sp A3 هي الاغزر انتاجا وبلغت الفعالية النوعية 3.8وحده/ملغم بروتين.
يعود الأرشيف إلى تورام ايلي التاجر والذي عرف في النصوص أيضا بوكيل التجار(ugula-dam-gàr)، في دوره هذا له سلطة بين التجار في مجتمعه(مجتمع التجار)، يذكر(Garfinkle) أن التجار غالبا ما اكتسبوا ألقابهم عن طريق الوراثة ذلك قد يمنح التجار حق الدخول إلى حسابات المؤسسات العامة. كان تورام ايلي تاجرا نشيطا في أعمال قروض الفضة في أواخر عهود سلالة أور الثالثة(3)، لمدة (ثمان عشرة) سنة أعتبارا من السنة الرابعة من حكم الملك أمارسن وحتى ا
... Show MoreTargeted research to find control procedures to reduce contamination of drinking water and whether the public water systems monitor the channels properly and it is free from all pollution to try to reduce the phenomenon of environmental pollution of drinking water and therefore its impact on improving the health status and economic development. Thus, the practical side took the proposed framework to reduce the contamination of drinking water in the province of Baghdad, and the role of environmental control to reduce this pollution and to eliminate the problem of providing drinking water in the countr.
This paper highlights the main features of conjunctive adverbials and their occurrence in English academic prose. It accounts for the semantic roles of conjunctive adverbials, forms in which they are used, their positions within a sentence, and their frequency of occurrence in different registers with special reference to academic prose. It also tries to investigate possible differences in men's and women's use of conjunctive adverbials.
Keyword: conjunctive adverbials, linking adverbials, stance adverbials, circumstance adverbials, academic prose
The research tries to discuss the European attitude towards the Iranian nuclear
activities withen its ambitious nuclear program. It studies the European endeavor to settle
this problem peacefully or to solve it by exerting economic and diplomatic pressures on the
Iranian leadership so, it will give up its nuclear ambitions.
Germany exerts single efforts and others withen the European Troika to follow up
the Iranian nuclear case attempting to prevent Iran from acquiring nuclear weapon which
gives Iran a distinguished regional status. Thus , this situation will lead the current regional
equivalence become unbalanced as well as it is conducive to dangerous consequences , to
endanger the security of Israel is the most
Produced ancient Iraqi civilization among the ingredients of civilization as a result of
human interaction with the environment in which they live , and began this ingredient in a
simple and took vary and evolve with the evolution of human life itself.
And passing epoch long time occupied by this civilization in the land of Mesopotamia,
which reflected the legibility Althelol archaeological scattered in most parts of this land
emerged features of this civilization has been able shovels prospectors that secreted into the
essence of knowledge to the archaeological researcher and specialist process of analysis and
extrapolation of all information contained and provided by the missions excavation which
began in archae
The research included studying a group of eight cuneiform texts dating back to the Old Babylonian era, specifically to the reign of King Larsa Rim-Sin, which were identified through studying the historical versions of these texts. These texts are confiscated, i.e. texts of unknown location, because they did not come through excavations, but rather came to the Iraqi Museum either by people who obtained them through digging, or stolen and smuggled texts that are retrieved by the General Authority for Antiquities; as is the case with our texts that were found smuggled to Jordan and were retrieved by the General Authority for Antiquities.
this study examined the various incidents of heritage and documentary dimension in relation with the contemporary history of Baghdad and the presence of religious minorities and ethnicities. The Baha'i came to Iraq in the late century and the list of religious minorities is still not recognized. In this research study