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.
إحدى أهم الطرق لتقصي توزيع المجرات عبر الزمن الكوني هي دالة اللمعان LF بدلالة كتلة القرص الباريوني ψS(Mb)، القدر . لقد درسنا تقديرًا لكثافة كتلة الباريون في عينة من المجرات الحلزونية القضيبية وغير القضيبية من الادبيات السابقة، والتي تتضمن فعليًا، لكل صنف من الاجرام السماوية ذات المحتوى الباريون المرئي، جزءًا لا يتجزأ من ناتج دالة الضيائية (LF) ونسبة الكتلة إلى الضوء. استخدمت تقنية الانحدار المتعدد لحزمة الب
... Show MoreOne hundred twelve urine samples were collected from Baghdad hospitals and examined by different identification techniques. Seventy isolates (62.5%) were diagnosed as Escherichia coli after microscopic and cultural identifications. The result of PCR product electrophoresis on the isolates showed that thirteen isolates (18.57%) have Pap E gene which are uropathogenic E. coli. Antibiotic susceptibility test was done, and four high resistant strains were mixed with aqueous extract of Quercus infectoria plant in 96 well ELISA plate and incubated for different times. After 0, 6, and 12 hr. of incubation, the effect of the plant extract on the bacterial growth was determined by ELISA reader, and the effect on the expression of P
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The research aims to demonstrate the commitment of the Federal Financial Supervisory Bureau to meet the requirements of the International Organization of Supreme Audit Institutions (INTOSAI) 3000, the general and private supervision of performance as the highest supervisory authority in Iraq, which is the only authorized to carry out the process of monitoring the performance of government work and activities. To analyze and present the results of the survey questionnaire prepared for the compliance of the Bureau with the requirements of the general and specific criteria related to the performance control process. The researcher reached a number of conclusions, the most important of which is the commitment of the
... Show MoreThe political struggle being waged by Muslims today is one of the most important issues that have preoccupied the Arab and international media, and the failures that have afflicted Muslims in our contemporary world have negatively affected the younger generations and led them, and with the influence of anti-Islam media, to rely on accusing Islam as a religion with all the negative in Islamic and Arab society . So secularism took its role in spreading these concepts by deviating from its course from the concept of science to the concept of (the religion).
From here the calls for reform rose to return the Muslims to the incubator of Islam, so people turned around them, but they turned into competing Islamic polit
The inflammatory reactions cause nasal polyposes (NPs), which contained the paranasal sinuses and the nasal mucous membrane. They consist of recurrent multiple masses originating in the paranasal sinuses then spread from the middle meatus to the nasals cavity, which leads to the nasal blockage that causes the restriction of airflow to the olfactory area. This study aims at clarifying the role of IL-12RB2 polymorphism by using PCR technology in nasal mucosal stem cells in nasal polyps of Iraqi patients and use it as a biomarker. Fifty-eight cases of this study are referred to as nasal surgery, which selected from Dept.of Otolaryngology, Baghdad City, Iraq from May 2013 to January 2014. They were grouped into Control group (022 samples
... Show MoreTin oxide films (SnO2) of thickness (1 ?m) are prepared on glass substrate by post oxidation of metal films technique. Films were irradiated with Nd:YAG double frequency laser of wavelength (532 nm) pulses of three energies (100, 500, 1000) mJ. The optical absorption, transmission, reflectance, refractive index and optical conductivity of these films are investigated in the UV-Vis region (200-900) nm. It was found that the average transmittance of the films is around (80%) at wavelength (550 nm) and showed high transmission (? 90 %) in the visible and near infrared region. The absorption edge shifts towards higher energies, which is due to the Moss-Burstien effect and it lies at (4 eV). The optical band gap increased with increasing of ene
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