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.
أولاً: مشكلة البحث:
لاحظ الباحث عن طريق خبرته – المتواضعة- في أثناء عمله في ميدان التدريس في أقسام القرآن الكريم والتربية الإسلامية ان هناك ضعفاً في المستويات وتدنياً واضحاً في التفكير المنظومي للطلبة في مادة الإعجاز القرآني، ويرى الباحث أن هذا التدني يعود إلى أسباب عديدة من أبرزها: طرائق تدريس المادة، وغزارة المادة الدراسية، وصعوبة استيعابها في الوقت القصير المخصص لها، وان
... Show MoreThe present study aimed to impact Strategy mental map in the acquisition of geographical concepts at the fifth-grade students in the literary geography classes. To achieve the objectives of the research formulated researcher null hypothesis (no statistically significant difference at the level (0.05) between the average scores of students who Adersna using a mind map, and who Adersna using the method usual in the acquisition of concepts geographic fifth grade literary). Has chosen researcher design Altjeribeachtar researcher Design The partial adjustment for both experimental and control groups Pachtearlakedzab concepts. The sample Seateetmthel graders secondary schools under the Directorate General of Educational Baghdad Rusafa II has c
... Show MoreSeeks this research is to clarify the role played by TQM represented Bmngaradtha (commitment and support of senior management of the philosophy of TQM, strategic planning for the overall quality, focus on the customer, continuous improvement, post workers, training and rehabilitation of workers) to achieve sustainable competitive advantage represented by dimensions (estimated intrinsic , creative culture, information technology, strategic flexibility), research has relied on the views of a sample of managers working in the Iraqi public insurance company. So identified research problem in answering the following questions: "What is the size of visualization owned by managers in the co
... Show MoreRecent research have aimed to know the effect of rational inquiry strategy on acquisition basic science processes for second intermediate students in physics. To verify the aim of this research , the researchers added the following zero hypotheses : No statistically significant differences at the level of significance (0.05) between the students mean scores of the two groups on basic science Processes test. The research was carried out on the second intermediate grade male students in Alam Al Yakeen school in Baghdad; belong to Education Directorate Al- Karkh/2, for the Academic Year (2014-2015) A.D. Prepared research requirements included ] selected the scientific subject chapters (6,7,8,9) from physics textbook, the formulation of beha
... Show MoreAbstract
This study concerned of scientific analysis of sociological directions
among Iraqi scholars graduated before 1960. These directions was divided
between heritage, conflict, critical and symbolic interaction. It is important to
mention that Al-Wardi scholar tried to build a theory in Sociology focused on
the image of Iraqi personality through historical approach used by Arabian
scholar Ibn-Khaldon.
The research deals with the collection of Allamah Ali al-Nuri’s guidance on readings, which he included in his book (Ghaith al-Naf’ fi al-Qira’at al-Sabe) and singled out it in a separate study,
Groundwater quality investigation has been carried out in the western part of Iraq (west longitude '40°40). The physicochemical analyses of 64 groundwater samples collected from seven aquifers were used in the determination of groundwater characterization and assessment. The concept of spatial hydrochemical bi-model was prepared for quantitative and qualitative interpretation. Hydrogeochemical data referred that the groundwater is of meteoric origin and has processes responsible for observed brackishness. The geochemical facies of the groundwater reveal that none of the anions and cations pairs exceed 50% and there are practically mixtures of multi-water types (such as Ca–Mg–Cl–HCO3 and Na+K–SO4–Cl water type) as do
... Show More