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Minimum Neighborhood Domination of Split Graph of Graphs
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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.

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Publication Date
Wed Apr 10 2019
Journal Name
Journal Of The College Of Education For Women
Environmental Impact in the Cultural Output of the Civilizations of Ancient East, Iraq and Eygpt sample
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Our research subject (environmental impact in the cultural output of the civilizations of ancient East) the environmental impact on human civilization and how her and adapted to serve in various cultural aspects especially in ancient cultures whether punches or sculptures and other addresses as well as tracing precious stones and raw materials.  It was the environment of the civilizations of Mesopotamia and Egypt and another effective impact in drawing ancient history through human interaction and responsiveness.  The Iraqi environment was marked by poverty and cruelty on the one hand and on the other cultural elements contributed to the civilization in General and research dealing with technical and product sourcing raw materi

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Publication Date
Mon Aug 01 2011
Journal Name
Journal Of Engineering
IMPLEMENTATION OF ROOT FINDING ALGORITHM OF MINIMUM PHASE FILTER USING VHDL
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Root-finding is an oldest classical problem, which is still an important research topic, due to its impact on computational algebra and geometry. In communications systems, when the impulse response of the channel is minimum phase the state of equalization algorithm is reduced and the spectral efficiency will improved. To make the channel impulse response minimum phase the prefilter which is called minimum phase filter is used, the adaptation of the minimum phase filter need root finding algorithm. In this paper, the VHDL implementation of the root finding algorithm introduced by Clark and Hau is introduced.
VHDL program is used in the work, to find the roots of two channels and make them minimum phase, the obtained output results are

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Publication Date
Fri Jan 05 2024
Journal Name
Al-academy
Act in Contemporary Painting
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This research concerned with studying act in contemporary painting , based on the role played by the act in achieving the structure of plastic art work artistically and aesthetically . The study consisted of three chapters: In the first one (the methodological framework) the problem has been displayed and the research aimed to detect : 1. The concept of the act in the structure of contemporary painting . 2. The impact of the act in the formation of the artistic style . as well as putting its boundaries represented in artistic movements : Abstract Expressionism , Pop Art and Conceptual Art within the period between 1945 and until the end of the seventh decade of the twentieth century. The Chapter II (theoretical framework) consisted of th

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Publication Date
Tue May 16 2023
Journal Name
Journal Of Engineering
The Effect of Spatial Organization on the Sustainability of the Neighborhood Unit in the Residential Environment
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Contemporary residential neighborhoods suffer from weak sustainability of urban residential environments as a result of the adoption of inefficient spatial organization at the neighborhood unit level. This resulted negative characteristics which affected the achievement of sustainable development plans for the residential environment that constitute the majority of the urban fabric of cities.

The physical affordances ,within the vocabulary of recent times,overcame the spiritual ones and affected the residential environment. Accordingly,the concept of space changed in contemporary residential areas through the dominance of the physical aspect (mass) on the symbolic aspect (space).The modern technology occupied an important level b

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Publication Date
Sun Sep 15 2019
Journal Name
Al-academy
The Reality of the Artistic Direction of Illustrations in the Textbooks: امل ابراهيم محسن
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The images and drawings reduce the intellectual, symbolic and cognitive dimensions inside them that make them an intermediary that imposes itself on the educational method, as they have become responsive to all the needs of the student in the modern era unlike the previous periods. The artistic direction of the illustrations in the scientific books meets the educational and pedagogical needs of the learner and their frame in an illustrative educational method that contributes in developing the student's abilities to benefit from the scientific curricula in the age of scientific and cognitive development.

Here, the researcher finds that the artistic direction of the illustrations lacks the achievement of scientific and technical p

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Publication Date
Fri Dec 01 2023
Journal Name
Political Sciences Journal
¬The Role of the European Union in Conflicts Resolution in the Eastern Neighborhood: Selected Models
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The launch of the EU’s Eastern Partnership in 2009 intended to signal a new, elevated level of EU engagement with its Eastern neighborhood. Yet there remain several long-simmering and potentially destabilizing conflicts in the region, with which EU engagement thus far has been sporadic at best. The Union’s use of its Common Security and Defense Policy (CSDP) in the region and to help solve these disputes has been particularly ad hoc and inconsistent, wracked by inter-institutional incoherence and undermined by Member States’ inability to agree on a broad strategic vision for engagement with the area.

The three CSDP missions deployed to the region thus far have all suffered from this incoherence to various extents. In particu

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Publication Date
Mon Sep 21 2020
Journal Name
Iraqi Journal For Electrical And Electronic Engineering
Emotion Recognition Based on Mining Sub-Graphs of Facial Components
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Facial emotion recognition finds many real applications in the daily life like human robot interaction, eLearning, healthcare, customer services etc. The task of facial emotion recognition is not easy due to the difficulty in determining the effective feature set that can recognize the emotion conveyed within the facial expression accurately. Graph mining techniques are exploited in this paper to solve facial emotion recognition problem. After determining positions of facial landmarks in face region, twelve different graphs are constructed using four facial components to serve as a source for sub-graphs mining stage using gSpan algorithm. In each group, the discriminative set of sub-graphs are selected and fed to Deep Belief Network (DBN) f

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Publication Date
Sun Jun 01 2025
Journal Name
Journal Of Discrete Mathematical Sciences And Cryptography
Some results on the non-zero divisor graphs of Zn
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In this work, we study several features of the non-zero divisor graphs (ℵZD- graph) for the ring Zn of integer modulo n. For instance, the clique number, radius, girth, domination number, and the local clustering coefficient are determined. Furthermore, we present an algorithm that calculates the clique number and draws the non-zero divisor for the ring Zn.

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Publication Date
Sun May 16 2021
Journal Name
Graphs And Combinatorics
Commuting Involution Graphs for Certain Exceptional Groups of Lie Type
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Abstract<p>Suppose that <italic>G</italic> is a finite group and <italic>X</italic> is a <italic>G</italic>-conjugacy classes of involutions. The commuting involution graph <inline-formula><alternatives><tex-math>$${\mathcal {C}}(G,X)$$</tex-math><math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mrow> <mi>C</mi> <mo>(</mo> <mi>G</mi> <mo>,</mo> <mi>X</mi> <mo>)</mo> </mrow> </math></alternatives></inline-formula> is</p> ... Show More
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Publication Date
Tue Jan 14 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The role of housing finance policies in reducing the housing crisis in Iraq
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Finance is considered as an important and essential element when developing any housing policy which has a basic role creation of channels and effective means of saving money for individuals and institutions involved in the construction of housing units , and in particular that there is a deficit of residential dramatically in Iraq offset by a significant decline in the rates of construction housing and the accumulation of housing need in the coming years , the importance lies of the subject in creating mechanism for financing this sector and the impact of such a mechanism in solving the problem of the deficit number of housing units, through studying the experiences of some countries in the policies of housing finance to take advantage

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