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

Many objective optimizations (MaOO) algorithms that intends to solve problems with many objectives (MaOP) (i.e., the problem with more than three objectives) are widely used in various areas such as industrial manufacturing, transportation, sustainability, and even in the medical sector.  Various approaches of MaOO algorithms are available and employed to handle different MaOP cases. In contrast, the performance of the MaOO algorithms assesses based on the balance between the convergence and diversity of the non-dominated solutions measured using different evaluation criteria of the quality performance indicators. Although many evaluation criteria are available, yet most of the evaluation and benchmarking of the MaOO with state-of-art a

Malaysia will be an ageing population by 2030 as the number of those aged 60 years and above has increased drastically from 6.2 percent in 2000 and is expected to reach 13.6 percent by 2030. There are many challenges that will be faced due to the ageing population, one of which is the increasing cost of pensions in the future. In view of that, it is necessary to investigate the effect of actuarial assumptions on pension liabilities under the perspective of ageing. To estimate the pension liabilities, the Projected Unit Credit method is used in the study and commutation functions are employed in the process. Demographic risk and salary risk have been identified as major risks in analyzing pension liabilities in this study. The sensitivity

This research aims at identifying the level of quality of University environment according to the viewpoint of female students taking the College of Sciences for Woman an example, as represented in the college units as registration unit and the unit of students' affairs, the curricula, instructors, study halls, the college library, scientific labs, computer access, stationary and photocopying services, health care center, the unit of artistic, cultural and sportive activity, the canteen, the college gardens, college buildings and equipment and bathrooms. To achieve the objectives of the research, the researcher prepared a questionnaire to identify the viewpoints of female students concerning the extent of the availability of the standards o

Praise be to Allah and peace and blessings be upon our Prophet Muhammad and on his family and companions
Yet,
The prophets (peace be upon them) urged all thevalues and one of these is the value of work which is of a great importance, that all nations have gathered against us as the eaters gather at a bowl. One of the reasons of our weakness and the strength of our enemy is that we have neglected the value of work. And rather a large number of ignorant and uneducatedpeople started to believe that the means of living, triumph, gaining power, and establishing a civilization are given by Allah with neithergainingnoreffort from us. While we find in the past that Allah the Almighty narrated to us the story of Mary (Peace be upon her) and

The purpose of this article is to identify and evaluate the importance of birds of the genus Merops (European Bee-eater -Merops apiaster and Blue-cheeked Bee-eater -Merops persicus) in Uzbekistan, as well as to develop recommendations aimed at solving some problems associated with its conservation. As a result of the study, in the aspect of biocenotic relations, the natural significance of these species was revealed. The economic value is determined and analyzed in beekeeping farms. From the study of the remains of food contained in the stomachs, throats and nests of M.apiaster, a preliminary list of the main species of the food spectrum has been compiled. Based on the bioacoustic repellent "Korshun-8"

هدفت الدراسة إلى الكشف عن العالقة بين الخبرات الصادمة والسلوك الفوضوي لدى طلبة المرحلة المتوسطة فضال عن التعرف على الفروق بين الطلبة في الخبرات الصادمة والسلوك الفوضوي على وفق متغير النوع )الذكور- اإلناث(، تألفت عينة الدراسة من )185( طالباً وطالبة، وتم تطبيق مقياسا الدراسة على العينة- مقياس الخبرة الصادمة ومقياس السلوك الفوضوي وهما )من إعداد الباحثان(، وقد أسفرت نتائج الدراسة عن: - إن طلبة المرحلة المتوسطة أظهر

This study sheds light on the structure of the phoneme composition of the verses describing the servants of the Most Merciful in Surat Al-Furqan, and on how its silences, voices, and syllables are distributed, questioning and talking to them about their condition, their aesthetics, and the accuracy of Quranic employment for them, stemming from the presence of a strong, inseparable bond, and a close relationship between the voice and meaning As (i.e. the voice) is the nerve of speech, forming the basic building blocks of speech through synergy of syllables and syllables with each other, creating an audio context with a rhythm that is parallel, expressive, and in harmony with the content, as the vocal context and the fabric based on it are

God sent the Prophet Muhammad as a teacher and promising harbinger {that is sent to the illiterate messenger reciting to them His signs and purifies them and teaches them the Book and Wisdom} [Friday: 2]; the wisdom of Baos Prophet him peace be and am back to teach people, - Education and therefore his life was very rich educational tactics And has passed the Prophet in different circumstances and conditions that can be experienced by a teacher or educator in any time, anywhere; there is no case of going through the educator or teacher only finds the same or similar or likened to, or close to it in the life of the Prophet peace be upon him Prophet has lived God's peace be upon his strengths and weaknesses, victory and defeat, he lived or

هدفت الدراسة إلى الكشف عن العالقة بين الخبرات الصادمة والسلوك الفوضوي لدى طلبة المرحلة المتوسطة فضال عن التعرف على الفروق بين الطلبة في الخبرات الصادمة والسلوك الفوضوي على وفق متغير النوع )الذكور- اإلناث(، تألفت عينة الدراسة من )185( طالباً وطالبة، وتم تطبيق مقياسا الدراسة على العينة- مقياس الخبرة الصادمة ومقياس السلوك الفوضوي وهما )من إعداد الباحثان(، وقد أسفرت نتائج الدراسة عن: - إن طلبة المرحلة المتوسطة أظهر