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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
Sun Apr 03 2016
Journal Name
Journal Of Educational And Psychological Researches
The Advancement of the Educational Process Requirements
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Education represents a different their areas, especially after the educational cornerstone of Staff of the community in which young person’s that can stand up and shared the overall development process.

            In order for education to be effective in the community, there is a need to develop to cope with the process development of civilization and modern technology. And for that to be achieved the goal of current research to stand on the advancement of the educational process through Knowledge of educational strategies that had previously requirements put forward for the development of educational process as well as through Knowledge of the mo

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Publication Date
Wed Sep 30 2015
Journal Name
College Of Islamic Sciences
The purpose of charity in tongue science
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The purpose of charity in tongue science

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Publication Date
Thu Mar 31 2022
Journal Name
Journal Of The College Of Education For Women
The Logical Pragmatics of Arguments in Argumentation
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Logic is understood so far as a product perspective, either formal or informal. The topic is still, though interesting, imprecise, sketchy and problematic. Besides, the relevance of logic to linguistics has not been explained. This research focuses on dealing with logic as a product and a process. It introduces how logic is relevant to understanding language. Logic is surely not irrelevant to real human language. In this research, we coin 'logical pragmatics' to refer to "the structure of an argumentation and its parts used by the speaker for the purpose of persuasion to have an effect in the addressee and passive audience”. As such, the research mainly aims at providing a definition of "logical pragmatics" as well as developing an ide

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Publication Date
Thu May 18 2023
Journal Name
College Of Islamic Sciences
Lamentation in the poetry of Hafez Ibrahim
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Elegy is one of the foundations of the Arab poetic heritage, and it is one of the main sections of poetry. Man has found in him his desire to express his innermost self at an hour filled with pain, and an outlet from which his anguish and grief come out in an expressive form that liberates tears and reproaches death.
Lamentation is an evolving purpose that grows with the growth of society and life and records the change that takes place in every stage of history. It is an important result of the poet's collision with life and events.
That is why I chose the lamentation poetry of Hafiz Ibrahim, due to the importance of this art to him, and it is the art in which he excelled the poets of his time.
I have divided this research into

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Publication Date
Sun Dec 01 2013
Journal Name
Political Sciences Journal
Scientific Activities The branch of political thought
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النشاطات العلمية لفرع الفكر السياسي

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Publication Date
Sun Sep 01 2013
Journal Name
Baghdad Science Journal
Synthesis of some Heterocyclic Compounds Derived from
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The 4-(?-bromo acetyl)-4?-toluene sulfonanilide (2) was used as key intermediate to synthesize new heterocyclic compounds. This bromo compound was synthesized via sulfonation of amino group of p-amino acetophenone using Hinsburg method with 4-toluene sulfonyl chloride to form 4-acetyl-4?-toluene sulfonanilide (1) which is used as a starting material in this work. This compound was brominated to yield compound (2) which is used as a precursor to synthesize new five and seven membered heterocyclic compounds such as substituted 1,3-oxazoles (3,4), 1,3-thiazole derivatives (5-7), thiourea compounds (8a,b), 1,3-Thiazoline-2-thione compounds (9a-f) and 1,2,5-triazepine compounds (11a-d). The synthesized compounds were identified depending u

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Publication Date
Tue Jan 12 2016
Journal Name
Spectral Physics Communications
Photobleaching Analysis of Binary Lasing Compound Systems
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Publication Date
Thu May 16 2024
Journal Name
Advancements In Life Sciences
Immunomodulatory Role of Cytokines in Periodontal Disease
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Review Article Immunomodulatory Role of Cytokines in Periodontal Disease Batool Hassan Al-Ghurabi*, Maha Adel Mahmood, Zainab A. Aldhaher, Sahar Hashim Al-Hindawi Adv. life sci., vol. 11,...

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Publication Date
Wed Sep 12 2012
Journal Name
Journal Of Engineering
Design and Implementation of a Vlsm Simulator
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Variable-Length Subnet Masks (VLSM), often referred to as "subnetting a subnet", is used to maximize addressing efficiency. The network administrator is able to use a long mask on networks with few hosts, and a short mask on subnets with many hosts. This addressing scheme allows growth and does not involve wasting addresses. VLSM gives a way of subnetting a network with minimal loses of IP addresses for a specific range. Unfortunately, the network administrator has to perform several mathematical steps (or use charts) to get the required results from VLSM. In this paper, a simple graph simulator is proposed (using Visual Basic 6.0 Language) to perform all the required mathematical steps and to display the obtained required information (the

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Publication Date
Sun Dec 31 2000
Journal Name
Iraqi Journal Of Chemical And Petroleum Engineering
Production of Castor Oil for Medical Uses
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