An edge dominating set of a graph is said to be an odd (even) sum degree edge dominating set (osded (esded) - set) of G if the sum of the degree of all edges in X is an odd (even) number. The odd (even) sum degree edge domination number is the minimum cardinality taken over all odd (even) sum degree edge dominating sets of G and is defined as zero if no such odd (even) sum degree edge dominating set exists in G. In this paper, the odd (even) sum degree domination concept is extended on the co-dominating set E-T of a graph G, where T is an edge dominating set of G. The corresponding parameters co-odd (even) sum degree edge dominating set, co-odd (even) sum degree edge domination number and co-odd (even) sum degree edge domination value is defined. Further, the exact values of the above said parameters are found for some standard classes of graphs. The bounds of the co-odd (even) sum degree edge domination number are obtained in terms of basic graph terminologies. The co-odd (even) sum degree edge dominating sets are characterized. The relationships with other edge domination parameters are also studied.
Chapter One
First, the importance of research and the need for him
Highlight the status of the nation and occupies a decent position among nations by what they offer for the good of humanity and tender, which is based mainly on the human and material wealth owned by the nation.
The investment of this wealth investment scientifically accurate based on the strong foundation that qualifies them to heights of glory, so stand out necessary development of all energies Alepeshriaaly the limit can not be considered as these energies fortune unless all elements of effective elements characterized by the positive interaction in various spheres of life and in the in
... Show MoreThe holy city of Najaf is a vital space that helps to bring people together within a particular context, thus strengthening intellectual communication, community participation and increasing opportunities to learn about different cultures
يتناول هذا البحث اساسيات التعامل بين الرسول الأعظم r وبين المخالفين له في المعتقد، وضرورة التسامح الديني الذي أقره الاسلام وطبقه الرسول الكريم r في حياته، وعلمه لأصحابه الكرام t، وأصناف الناس الذين تعايش معهم الرسول r مدة سيرته العطرة، لاسيما الكفار وأهل الكتاب والمنافقين، مستندا إلى كتب التفسير والحديث النبوي الشريف، وقد جعل الباحث لكل منهم مبحثا مستقلا ، ثم انتهى إلى الخاتمة وأهم التوصيات .
Among the imams who honor the soil of Iraq by embracing their remains is Imam Al-Qasim Ibn al-Imam Musa Ibn Ja'far ibn Muhammad ibn Ali ibn al-Hussein ibn Ali ibn Ali ibn Abu Talib, Amir of the believers Al-Kadhim (may peace be upon him ), the mother of the sons and the mother of his brother Imam Ali ibn Musa al-Rida (may peace be upon him), buried in the Holy QOM (1)It is one of the doors of need for Shiite Muslims All the stories of imams are similar in terms of injustice
The multiple linear regression model is an important regression model that has attracted many researchers in different fields including applied mathematics, business, medicine, and social sciences , Linear regression models involving a large number of independent variables are poorly performing due to large variation and lead to inaccurate conclusions , One of the most important problems in the regression analysis is the multicollinearity Problem, which is considered one of the most important problems that has become known to many researchers , As well as their effects on the multiple linear regression model, In addition to multicollinearity, the problem of outliers in data is one of the difficulties in constructing the reg
... Show MoreThis study deals with the region of the Babylon governorate in Iraq during the Proto-Literate and Early Dynastic periods. It is the region of the well- known ancient capital Babylon. The earlier period includes Late Uruk, Jamdat nasr, and the first epoch of the Early Dynastic period. The latter includes the second and third epochs of the Early Dynastic period. The both periods had lasted more than one thousand years (3500-2334 BC
Годы, принадлежащие концу XIX – началу XX столетия, вошли в русскую литературу под красивым названием Серебряный век. В это время в стране появился целый ряд выдающихся поэтов, имена которых навсегда останутся в русской и мировой литературе. Это Ахматова, Гумилев, Блок, Маяковский и многие другие. Все эти люди творили в нелегкое для России время. Началом Серебряного века условно считают 189
... Show MoreThe research dealt with the study (interpretation of space in the art of installation), and it is located in four frameworks, the first is devoted to clarifying the research problem, its importance and the need for it, its goal, and its limits, and determining the most important terms contained therein.The research problem was determined from the question, does space embody those different and diverse materials that were formulated and installed by the artist into modern forms? Is the product of synthetic arts an appropriation of these spaces and domination of them?The problematic of interpreting space in its conceptual dimension in (synthetic) art in its multiplicity, diversity and difference, or objecting to the work of artistic system
... Show MoreThis article focuses on the relationship of gender to the effectiveness of both women and men in public relations work. Its aim is to identify the extent to which public relations employees are aware of the concept of gender, and to reveal the role of the institution in determining certain roles for both women and men at work, as well as to find out which employees are most effective in public relations activities within the institution.
The researcher uses public relations employees and officials in Iraqi ministries as a research sample to capture the point of view of both parties on the effectiveness of workers in public relations based on the definition of gender. The sample consists of 396 individuals
... Show Moreالعلوم السياسية في العراق بداياتها ، نشأتها ، تطورها ، ومفرداتها التدريسية