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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
Wed Nov 20 2024
Journal Name
University Of Anbar Sport And Physical Education Sciences
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Publication Date
Wed Nov 20 2024
Journal Name
Journal Of Physical Education
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Publication Date
Tue Jan 01 2019
Journal Name
Journal Of Human Sport And Exercise - 2019 - Spring Conferences Of Sports Science
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Publication Date
Thu Jan 11 2024
Journal Name
Eximia
Using an educational method according to special exercises to perform the skill of bow and develop flexibility for cub wrestlers in Iraq

creating unique exercises utilizing a teaching approach that works with the research sample, determining how special exercises affect the development of torso flexibility, and determining how special exercises affect the development of bow ability. Activate the search The results of the pre- and post-tests for the control and experimental research groups show a statistically significant association that is favoring the post-test in the development of bow skill performance Using the experimental technique, the researcher set up one group and gave them two tests (pre and post) based on scientific theories that made sense for the topic at hand. Forty adolescent wrestlers from the Adhamiya Club in the Baghdad Governorate were recognized

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Publication Date
Sun Oct 02 2011
Journal Name
Journal Of The Faculty Of Medicine Baghdad
Bone Marrow Fibrosis in Chronic myeloid leukemia (CML) and other Myeloproliferative Disorders Evaluated by Using Special Histochemical Stains for Collagen.

Background: It is still difficult to give a final diagnosis in chronic myeloproliferative disorders (CMPDs) because of the overlap of the common pathological and clinical features of these disorders like bone marrow fibrosis which is considered important because it affects the normal function of the bone marrow. The collagen fibers are of different types, but in the bone marrow, the two main types are: collagen I, which is the most abundant type and collagen III (reticular) which is often associated with type I.
Objectives:To study bone marrow fibrosis (BMF) in samples of bone marrow biopsies (BMB) of chronic myeloid leukemia (CML) and other chronic myeloproliferative disorders using histochemical stains to establish the grade of fibr

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Publication Date
Wed Nov 20 2024
Journal Name
Wasit Journal Of Sports Sciences
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Publication Date
Fri Jan 01 2021
Journal Name
Revista Iberoamericana De PsicologÍa Del Ejercicio Y El Deporte
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Publication Date
Sun Sep 26 2021
Journal Name
Modern Sport
The effect of special exercises in developing the strength endurance of the arms of the national team players with the goal ball for the blind

The importance of the research lies in preparing an experimental curriculum according to a scientific method that will contribute to the development of the special strength(endurance the strength of arms) in order to contribute to the attempt to develop the basic skills of the national team players ‏with the goal ball for the blind ‏As for the research problem, it lies in the weakness of the strength endurance of the national team players with the goal ball for the blind, as the research problem is clearly evident in the last minutes of the match, as well as the former studies in the field of goal ball game for the blind at the country level ‏The research aims to prepare special exercises for endurance of strength as well as t

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Publication Date
Tue Feb 28 2023
Journal Name
Iraqi Journal Of Science
Applications of the Finite Operator〖 〗_3 E_2 (■(q^(-N),a,b@c,d);q,-fθ) for the Polynomials B_n (a,b,c,d,f,x,y|q)

     In this work,   polynomials  and the finite q-exponential operator  are constructed. The operator  is used to combine an operator proof of the generating function with its extension, Mehler's formula with its extension and Roger's formula for the polynomials . The generating function with its extension,  Mehler's formula with its extension and Rogers formula for Al-Salam-Carlitz polynomials  are deduced by giving special values to polynomials .

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Publication Date
Wed Nov 20 2024
Journal Name
Journal Of Physical Education
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