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.
The current research aims to: 1- Identify the emotional sensitivity of children from the parents' point of view. 2- Identifying the differences in the emotional sensitivity of children from the parents ’point of view, according to the parents’ gender variable (father - mother). The basic research sample consisted of (285) male and female students from the sixth grade (primary school), chosen in a randomized stratified method from the districts (Al-Karkh and AlRasafa). While the sample of statistical analysis amounted to (200) father and (200) mothers of male and female students who were randomly selected from the sixth grade of the education directorates (Al-Karkh and Al-Rasafa). The two researchers also used a number of sta
... Show MoreThis paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free plasma, which exhibits magnet-acoustic waves and shock wave formation respectively. The decomposition method is used to solve the proposed equations. Also, the convergence and uniqueness of the obtained solution are discussed. To illuminate the effectiveness of the presented method, the solutions of these equations are obtained and compared with the exact solution. Furthermore, solutions are obtained for different values of time-fractional order and represented graphically.
JM Karhoot, AA Noaimi, WF Ahmad, The Iraqi Postgraduate Medical Journal, 2012 - Cited by 7
KE Sharquie, GA Ibrahim, AA Noaimi, HK Hamudy, J Saudi Soc Dermatol Dermatol Surg, 2010 - Cited by 2
Increased downscaling of CMOS circuits with respect to feature size and threshold voltage has a result of dramatically increasing in leakage current. So, leakage power reduction is an important design issue for active and standby modes as long as the technology scaling increased. In this paper, a simultaneous active and standby energy optimization methodology is proposed for 22 nm sub-threshold CMOS circuits. In the first phase, we investigate the dual threshold voltage design for active energy per cycle minimization. A slack based genetic algorithm is proposed to find the optimal reverse body bias assignment to set of noncritical paths gates to ensure low active energy per cycle with the maximum allowable frequency at the optimal supply vo
... Show MoreThe research deals with the concept of a New Urbanism as an urban development strategy in the suburbs of cities or in its centers that are affected by pedestrian-oriented design and the possibility of walking, as well as integrating economic classes through the diversity of housing and its costs, and this works to facilitate access to jobs and services while providing more diverse neighborhoods and reducing the use of cars , As designing separate houses in the suburbs and increasing car trips poses a threat to the environment and the quality of urban life, and thus the new urban provides a good strategy for developing
... Show MoreThe issue of the other in the graphic design and specifically the advertising constitutes a cognitive study of the structure of the intellectual expansion in the cognitive and intellectual creative systems because of the implicit and declared embodiment it provides within the mechanisms of reading in the advertising design that appeared according to the other and through the embodiment of the textualism, the difference and the binary opposites is nothing but a reaction to the design thought and what constitutes of the manifestations of the other in advertising design. Based on the above, we review this study (Manifestations of the Other in Graphic Design) to clarify the topic through four chapters. The first chapter included the research
... Show MoreThe sound in the cinema and television occupies a large space in the level of use and expression. In addition to the functional aspect of the elements of the sound such as the dialogue, music, effects and silence, in shaping and supporting the narrative structure of the image in the dramatic work, it has today become and in light of the technical developments of the sound, an aesthetic value in the structure and formulation of the contents and ideas presented in the work. The sound also created a variety of forms before the work-factories in the artistic functioning, which enhances the emotional and expressive dimension of the image, and the researcher, as a result of many new developments in the expression o
... Show MoreThe study's objective is to produce Nano Graphene Oxide (GO) before using it for batch adsorption to remove heavy metals (Cadmium Cd+2, Nickel Ni+2, and Vanadium V+5) ions from industrial wastewater. The temperature effect (20-50) °C and initial concentration effect (100-800) mg L-1 on the adsorption process were studied. A simulation aqueous solution of the ions was used to identify the adsorption isotherms, and after the experimental data was collected, the sorption process was studied kinetically and thermodynamically. The Langmuir, Freundlich, and Temkin isotherm models were used to fit the data. The results showed that Cd, Ni, and V ions on the GO adsorbing surface matched the Langmuir mo
... Show MoreThe current research aims to verify the relationship and impact of internal control activities as an independent variable in its dimensions (efficiency, training, independence) in making administrative decisions as a responsive variable and its dimensions (identifying and diagnosing the problem, searching for alternatives, evaluating alternatives, choosing the appropriate alternative, implementing the decision, following up Decision and evaluation) in the Kirkuk Water Directorate, as well as to identify the levels of their practices, and then try to come up with a number of recommendations contribute to the strengthening of internal control activities and the process of making administrative decisions of the researched Directorat
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