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.
The present study aimed to identify the extent to which the content of social and national studies courses was included in interactive thinking maps in the educational stages in the Kingdom of Saudi Arabia, and to achieve the goal of the study, the researcher used the descriptive and analytical approach, and the study tool used consisted of a content analysis card; Where it included a list of the types of thinking maps, where the study sample consisted of all social and national studies courses at the elementary and intermediate levels, and it is (12) books for the student in its first and second parts, and after verifying the validity and reliability of the tool, it was applied to the study sample, and the study reached conclusions, inc
... Show MoreItem Difficulty and Item Discrimination Coefficient for School and College Ability Tests (SCAT) Advanced Form in Classical Test Theory (CTT) and Item Response Theory (IRT) and the Correlation among Them Mohammad moqasqas Haifa T. Albokai Assistant Professor of Measurement and Evaluation Associate Professor of Measurement and Evaluation College of Education, Taibah University The aim of this study was to study the item difficulty and item discrimination of the SCAT (advance form) with CTT, and IRT, and to study the correlation among them. To do this, the researchers used the data of their previous study, which conducted in (2011). It consisted of (3943) subject. Then, they used two-statistical programs (TAP, Bilog-MG-3) to obtain the item
... Show MoreMultiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex
... Show MoreLithium-based rechargeable batteries (LbRBs) are essential for applications in vehicles, wearable electronics, and large-scale energy storage due to their high energy density. However, safety concerns associated with flammable organic electrolytes hinder further development. Advancing Li-ion battery technology requires improved conductivity, energy density, and safety, particularly in the development of all-solid-state lithium-ion batteries (ASSLiBs). This work explores carboxymethyl cellulose (CMC)-based solid polymer electrolytes (SPEs) as sustainable alternatives for lithium-ion batteries. The synergistic effects of 1-butyl-3-methyl imidazolium chloride ([BMIm]Cl) ionic liquid, as a plasticizer, and lithium acetate (LiCH3COO) enhance the
... Show MoreBackground A case-control study was performed to explore eight pro-inflammatory and anti-inflammatory cytokines, namely interleukin (IL)-1α, IL-1Ra (IL-1 receptor antagonist), IL-12, IL-17A, IL-31, IL-33, CXCL10 (C-X-C motif chemokine ligand 10), and CXCL16, with the aim to understand their role in ankylosing spondylitis (AS) pathogenesis and evaluate their utility as markers to differentiate between diseased and healthy individuals. Among these cytokines, IL-31 and CXCL16 have not been well studied in AS. Patients and methods The study included 94 male patients with AS and 91 age-matched control males. Interleukin and chemokine levels were measured using ELISA kits. Results Serum levels of IL-17A, CXCL10, and CXCL16 were significantly ele
... Show MoreThe Trump administration asserts that the actions of the United States are neither constrained by international organizations nor international controls, as they strive to seek a leadership position in a competitive manner, advance the reform of the United Nations in order to gain strength and support for US interests, and promote conservative social values. This negative policy is the result of the influence and mutual influence of long-term isolationism, the "American exception" and popular trends in the United States, as well as the result of the Trump administration's attempt to employ powerful means to revitalize the United States' strong position in the United Nations. However, the Trump administration’s policy toward the United
... Show MoreSeveral authors have used ranking function for solving linear programming problem. In This paper is proposed two ranking function for solving fuzzy linear programming and compare these two approach with trapezoidal fuzzy number .The proposed approach is very easy to understand and it can applicable, also the data were chosen from general company distribution of dairy (Canon company) was proposed test approach and compare; This paper prove that the second proposed approach is better to give the results and satisfy the minimal cost using Q.M. Software
مستخلص البحث أهمية البحث عن طريق إعداد برنامج تدريبي يعتمد هذه الطريقة التدريبية في تطوير التحمل الخاص عن طريق العمل على بناء مستوى جيد من التحمل الخاص لدى اللاعبين الشباب في مرحلة الإعداد الخاص, تحقيق نتائج جيدة على مستوى أداء الواجبات المهارية والخططية المطلوبة منه في أثناء زمن المباراة, حيث ارتأت الباحثة من خلال إعداد برنامج تدريبي إلى رفع مستوى (التحمل الخاص) لدى لاعبي كرة القدم وبالتالي يمكنها أن تساع
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