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Stability of Complement Degree Polynomial of Graphs
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     A graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense related. The objects correspond to mathematical abstractions called vertices (also called nodes or points) and each of the related pairs of vertices is called an edge (also called link or line). A directed graph is a graph in which edges have orientation. A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex.  For a simple undirected graph G with order n, and let  denotes its complement. Let δ(G), ∆(G) denotes the minimum degree and maximum degree of G respectively. The complement degree polynomial of G is the polynomial CD[G,x]= , where Cdi(G) is the cardinality of  the set of vertices of degree i in . A multivariable polynomial f(x1,...,xn) with real coefficients is called stable if all of its roots lie in the open left half plane.  In this paper, investigate the stability of complement degree polynomial of some graphs.

2020 Mathematics Subject Classification:  05C31, 05C50

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Publication Date
Sun Apr 07 2013
Journal Name
Journal Of Educational And Psychological Researches
The effect of relaxation music in reducing symptoms of dental anxiety
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Many behavioral researchers pointed out the importance of relaxation techniques in the treatment of different psychological disorders where find  the importance of these techniques in reducing anxiety and stress and the resulted of behaviors and habits, with the development of these techniques are being used to gain public health, whether mental health or physical or mentality, and one of these techniques is music therapy that reduces tension and anxiety and operates a state of relaxation, which is used in the treatment of  patients of dental clinic.                        

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Publication Date
Fri Jun 30 2023
Journal Name
College Of Islamic Sciences
Moderation between the anvil of application and the hammer of extremism
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This research study focuses on fundamental questions. It deals with the content of the critical reviews through which the most important sources that undermine the renaissance of the Islamic human society can be concluded. It is the vague fetishization of the sacred between religion, politics, and ideas, which members of society live in  and which raised the dust of closed-minded fanaticism that led to the return of deviant extremism. It is oppression, violence, and domination, all of which are professional tools in the manufacture of the ideology of extremism in all its forms. Here,  the idea matured in giving a human, intellectual and philosophical overview that mixed the required drawing in the formulation of scientific cont

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Publication Date
Sun Apr 30 2023
Journal Name
Iraqi Journal Of Science
The Impact of Fear and Prey Refuge on the Dynamics of the Food Web Involving Scavenger
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        In this paper, the effects of prey’s fear on the dynamics of the prey, predator, and scavenger system incorporating a prey refuge with the linear type of functional response were studied theoretically as well as numerically approach. The local and global stabilities of all possible equilibrium points are investigated. The persistence conditions of the model are established. the local bifurcation analysis around the equilibrium points, as well as the Hopf bifurcation near the positive equilibrium point, are discussed and analyzed. Finally, numerical simulations are carried out, and the obtained trajectories are drowned using the application of Matlab version (6) to explain our found analytical

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Publication Date
Fri Jan 31 2025
Journal Name
Journal Of Studies And Researches Of Sport Education
Design and rationing test compound to assess the performance of the attack straight in terms of power characteristic speed And vital capacity for young players duel weapon Blinds
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Publication Date
Sun Apr 03 2011
Journal Name
Journal Of Educational And Psychological Researches
Personality traits of gifted students in the schools of the Hashemite Kingdom of Jordan
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Current research aims to know the personality traits of gifted
and has been the preparation , students in the Hashemite Kingdom of Jordan
pedagogy of talented ) 60 ( views of a sample of of the search tool of the
And has been applied to the . items ) 52 ( formed from the search tool , teachers
sample, and after treatment results reached statistical research results and the
researcher presented a number of recommendations including:
: Recommendations
1. Need for the development and rehabilitation of mentally gifted and structure
their characters in line and mental abilities and knowledge.
ams and psychological guidance for personal Preparation of scientific progr . 2
. development for the gifted
3. Work to

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Publication Date
Mon Mar 01 2021
Journal Name
Review Of International Geographical Education
Application of strategic management in the colleges of Education / University of Baghdad
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A field study aimed at identifying the reality of the application of strategic management in the colleges of education/ University of Baghdad. The research adopted the descriptive analytical approach. The research community, consisting of 801 faculty teachers, has been identified. The research sample was selected in a simple random way and represented 15% of the research community, totalling 124 teaching members. A questionnaire was constructed that included (46) items divided between areas (strategic objectives, strategy planning and formulation, implementation of the strategy, and evaluation of the strategy). The honesty and consistency of the tool was verified. The researcher analyzed the research data using SPSS. The most important resu

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Publication Date
Sun Oct 07 2012
Journal Name
Journal Of Educational And Psychological Researches
The Participation of the Students of the Colleges of Education in the Iraqi Universities in Literacy and Adult Education in Iraq. The Students of the Departments of Holy Quran and Islamic Education (A model)
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The study focuses on the problem that Iraq is approaching an increasing rate of literacy;the available data refers to a rate of (18% -19%). In addition to the fact that the generalcurrent role of the programs directed to literacy is not actually effective enough to limit the expansion of this rate.

The importance of this study highlights the fact that the Iraqi universities are an important tributary among the tributaries of human development, especially in spreading the education of the voluntary work in literacy field and confirming the connection between the students and their society and their role in solving one of the prominent challenges that face the development, i.e., literacy.

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Publication Date
Tue Oct 04 2022
Journal Name
College Of Islamic Sciences
The aesthetics of metaphor sent in Nahj al-Balaghah
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Abstract

       The main goal of this study is to showcase the aesthetic values contained in Nahj Al-Balagha by exploring its wide horizons and enriching the subject of rhetoric with new forms and images that did not exist in other books, as they characterized no other book but Nahj Al-Balagha. Imam Ali mastered the use of rhetorical forms in his speech to the fullest extent that such forms raced to his thought one after the other to book their place amongst the topics of religious and earthly life. One of those rhetoric forms is synecdoche, in its various parts. Due to this form great importance and high status, it was used by the Imam at many

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Publication Date
Mon Jun 01 2020
Journal Name
Journal Of Planner And Development
The Quantitative Analysis To Assess The Efficiency Of The Transport Network In Sader City
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     This research examines the quantitative analysis to assess the efficiency of the transport network in Sadr City, where the study area suffers from a large traffic movement  for the variability of traffic flow and intensity at peak hours as a result of inside traffic and outside of it, especially in the neighborhoods of population with  economic concentration.                                                           &n

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Publication Date
Mon Apr 20 2020
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Chromatic Number of Pseudo-Von neuman Regular Graph
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         Let R be a commutative ring , the pseudo – von neuman  regular graph of the ring R is define as a graph whose vertex set consists of all elements of R and any two distinct vertices a and b are adjacent if and only if   , this graph denoted by P-VG(R) ,  in this work we got some new results a bout chromatic number of  P-VG(R).

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