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M_n – Polynomials of Some Special Graphs

 Let  be a connected graph with vertices set  and edges set . The ordinary distance between any two vertices of  is a mapping  from  into a nonnegative integer number such that  is the length of a shortest  path. The maximum distance between two subsets  and  of   is the maximum distance between any two vertices  and  such that  belong to  and  belong to . In this paper, we take a special case of maximum distance when  consists of one vertex and  consists of  vertices, . This distance is defined by: where  is the order of  a graph .

     In this paper, we defined  – polynomials based on the maximum distance between a vertex  in  and a subset  that has vertices of a vertex set of  and  – index. Also, we find  polynomials for some special graphs, such as: complete, complete bipartite, star, wheel, and fan graphs, in addition to  polynomials of path, cycle, and Jahangir graphs. Then we determine the indices of these distances.

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Publication Date
Sat Jun 03 2023
Journal Name
Iraqi Journal Of Science
Effect Effect Effect Effect Effect Effect Effect of Thickness on Some Physical PropertiesThickness on Some Physical PropertiesThickness on Some Physical PropertiesThickness on Some Physical PropertiesThickness on Some Physical Properties Thickness on Some

The effect of thickness variation on some physical properties of hematite α-Fe2O3 thin films was investigated. An Fe2O3 bulk in the form of pellet was prepared by cold pressing of Fe2O3 powder with subsequent sintering at 800 . Thin films with various thicknesses were obtained on glass substrates by pulsed laser deposition technique. The films properties were characterized by XRD, and FT-IR. The deposited iron oxide thin films showed a single hematite phase with polycrystalline rhombohedral crystal structure .The thickness of films were estimated by using spectrometer to be (185-232) nm. Using Debye Scherrerś formula, the average grain size for the samples was found to be (18-32) nm. Atomic force microscopy indicated that the films had

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Publication Date
Mon Jan 01 2024
Journal Name
Computers, Materials & Continua
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Publication Date
Sun May 22 2016
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
ESTIMATION OF SOME FOOD ADDITIVES AND HEAVY METALS IN SOME ORANGE JUICE.: ESTIMATION OF SOME FOOD ADDITIVES AND HEAVY METALS IN SOME ORANGE JUICE.

The study included examination of three types of different origin and orange juice at the rate of recurring per sample, the results showed that the highest rates of acid (pH) in the A and juice were (4). And salts of calcium is 120 ppm in juice C and 86 ppm of magnesium in the juice B, for heavy metals the highest rate of lead .18 recorded ppm in juice B, 1.32 ppm of copper in juice A, 5 ppm of iron in the juice B, 1.3 ppm of zinc in the juice B, 0.05 ppm of aluminum in each of the sappy B and A, 0.02 ppm of cobalt in the juice B, 0.3 ppm of nickel in the juice B, 170.6 ppm sodium in C juice, but for the acids, organic that the highest rates were 3.2 part Millions of acid in the juice owner a, 260 ppm of the acid in the juice the ascorbi

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Publication Date
Mon Jan 18 2021
Journal Name
Iraqi Journal Of Science
The Policy of Integration in Developing The Skills of People with Special Needs Through A Professional Didactic Approach “Analytical Field Study on the Reality of Integrated Classes in Azrou City”

In view of the importance of the educational act, and the effective role played by the school in building the society on the basis of solidarity and equal opportunities, as well as the rehabilitation of emerging generations to exercise their rights and duties, as well as integration into the world of knowledge, communication and in different social and environmental circles[1]. The process of integrating special needs children, in regular or integrated classes within regular public schools or specialized rehabilitation educational centers, is of great importance to these groups of society, their families and society in general[2]. Based on the above, the research will start by answering the followingquestions:

How can the parents

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Publication Date
Mon Jan 31 2022
Journal Name
Iraqi Journal Of Science
Isolation and identification of fungi from the droppings of some poultry and some detergents effect on some of them.

In Baghdad governorate, samples of dried birds waste were obtained from poultry cages for investigate the of the presence of fungi. There was a high proportion of Candida spp., Rhodotorula spp. and filamentous fungi that obtained from the dry droppings. Al samples gave a positive results included 177 isolates, these isolates includes different Candida species 62 isolates (35.02%), Rhodotorula spp. 28 isolates (15.81%), and the following filamentous genera: Aspergillus spp. 50 isolates (28. 24%), (A. niger 20 isolate, A. flavus 18 isolate, A. fumigatus 12 isolate), Penicillium spp. 11 isolates (6.21%) and Mucor spp. 26 isolate (14.68%). The inhibitory effect of the used detergents (with concentration of 10-1 mg/ml.( was ranged from 35 mm

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Publication Date
Tue Dec 15 2015
Journal Name
Iraqi Journal Of Market Research And Consumer Protection
Determination of some Optimum Conditions for Bioremediation of Some Heavy Metals by Saccharomyces cerevisiae: Determination of some Optimum Conditions for Bioremediation of Some Heavy Metals by Saccharomyces cerevisiae

The study aimed to determine of some Optimum conditions for bioremediation and removing of seven mineral elements included hexavalent chromium, nickel, cobalt, cadmium, lead, iron and copper as either alone or in group by living and heat treated cells of baker’s yeast Saccharomyces cerevisiae. The dried baker's yeast from Aldnaamaya China Company was used in this study. Biochemical tests was used to ensure yeast belonging to S. cerevisiae and then used to remove the mentioned mineral elementes under different conditions which included incubation period, pH, and temperature. It was found that the best of these conditions was 60 minutes for duration of incubation, 6 for pH, 25 ᵒC for temperature. During the study the behavior of living

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Publication Date
Wed Jan 01 2020
Journal Name
Modern Sport
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Publication Date
Wed Jun 07 2023
Journal Name
Journal Of Educational And Psychological Researches
The Feeling of Job Alienation and Its Relationship to Organizational Commitment among Free Lecturers in Secondary Schools: Imam Al-Kadhum College (peace be upon him ( Kindergarten and Special Education Department

The current study aims to identify the feeling of job alienation and organizational commitment among free lecturers in secondary schools, as well as to identify the significance of the differences in the feeling of job alienation according to the gender and the significance of the differences in organizational commitment according to the gender. It also aims to identify the correlation between the feeling of job alienation and organizational commitment. To achieve the objectives of the research, the researcher developed two scales: one consisted of (24) items to measure the vacancy in job alienation and the other consisted of (24) items to measure the organizational commitment. The two tools were applied to a sample of (200) male and fem

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Publication Date
Wed Mar 29 2017
Journal Name
Iraqi Journal Of Pharmaceutical Sciences ( P-issn 1683 - 3597 E-issn 2521 - 3512)
Effect of Some Storage Conditions upon the Survival of Some Fungal Spores

Folic acid and multivitamin tablets containing Aspergillus flavus Penicillia spp. and Cladosporia spores were prepared at a compression pressure of 148 MN/m2 and stored at 35°C under different relative  humidifies (75,85, and 95)% within air tight containers, to study the effect of storage condition on them, as well as ,the estimation of the microbial level of the raw materials intended to be used in the two kinds of tablets . Result showed that some raw materials derived from natural origin were heavily contaminated with microorganism compared to that of synthetic origin ,the results also indicated the effect of relative humidity , types of fungal spore , and the hygroscopic nature of exicpient upon survival. Multivit

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Publication Date
Fri Nov 24 2023
Journal Name
Iraqi Journal Of Science
Inhibitory effect of some medicinal plant extracts on some pathogenic fungi

Plants and their extracts preparations have been used as medicines against infectious diseases. In present work, Cassia senna (leaves), Piper nigrum (fruits) were extracted with different organic solvents to investigate their antifungal activities in vitro. However, the effective of plant extracts against some pathologic fungi (Tricophyton rubrum, T. tonsurans, T. violaceum, Microsporum audouinii, M. canis and M. gypseum) were evaluated at concentrations ranged between (0.005–5%) using agar diffusion methods and compared with standard antifungal drug (Clotrimazole). Results showed that methanol extract of C. senna and ethanol extract of P. nigrum displayed excellent inhibition on dermatophytes compared with standard antifungal drug, th

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