An edge dominating set of a graph is said to be an odd (even) sum degree edge dominating set (osded (esded) - set) of G if the sum of the degree of all edges in X is an odd (even) number. The odd (even) sum degree edge domination number is the minimum cardinality taken over all odd (even) sum degree edge dominating sets of G and is defined as zero if no such odd (even) sum degree edge dominating set exists in G. In this paper, the odd (even) sum degree domination concept is extended on the co-dominating set E-T of a graph G, where T is an edge dominating set of G. The corresponding parameters co-odd (even) sum degree edge dominating set, co-odd (even) sum degree edge domination number and co-odd (even) sum degree edge domination value is defined. Further, the exact values of the above said parameters are found for some standard classes of graphs. The bounds of the co-odd (even) sum degree edge domination number are obtained in terms of basic graph terminologies. The co-odd (even) sum degree edge dominating sets are characterized. The relationships with other edge domination parameters are also studied.
When Allah has chosen Arabic language to be the eternal language of the Holly Qura'an, Qura'an was the original resource of the perfect grand Arabic
Ibn Khaldun is one of the best Arab Muslims scientists who participated in establishing Arabic Muslims heritage in all different disciplines & directions specially in sociology, neurological & his political theories which showed the development of Arabic philosophy in all scientific disciplines specially his introduction
The book (Al-Thaw’ Al-Lami’) (Bright Light) by AlSakhawi is one of the most important historical sources in the Hijri ninth century. In this book, the author mentioned the biographies of most famous scientists and other authors browsing the most prominent scientific
Abook of alzmkchri (AL-Mefsal) considers one of the most book familiarities among grammarians whom begin to explain it importance kitab AL-Takhmair for Khwarizmi separated opinions in grammatical schools that dealt with.
A lot of researchers and specialists in language sciences have been agreed that Arabic language is on of living languages never disappear and keep pace with innovation and the challenges of the age and evolution civilization i.e any development in it’s connotations doesn't tzopped it (melted
فاعلية تطبيق اسلوب المهام الدراسية في اتقان اللغة الاسبانية للطلبة العراقيين.
Emissions of particulate matter from nanopapers as well as inks and organic solvents during the printing operationand copying machines constitute a threat to human health, especially with long time exposure in closed working environments. The present study was conducted in some printing houses and copying centers of Baghdad city during February and April .The studyproved the occurrence of an air pollution problem concerning lead and zinc contents in all the study sites. The levels of Pb, Zn and Cu were collected by low volume sampler from the air of the study sites then filter papers digested and determined the heavy metals by flame atomic spectrophotometer. Particulate matter was measured by Aerocet, Microtector meter device was use
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The importance of teaching methods and procedures comes from the nature and significance of the questions raised inside the classroom. That is, because questions, in fact, are the means of communication and interaction in the class situation. Therefore they are considered as indispensible elements in any teaching approach. Furthermore, it is noticeable that the majority of teachers fail in using them, for questions are often casted spontaneously and without pre-planning. Hence, a delay may occur in realizing the pre-set objectives, and let alone the dominance of stereotyped questions, especially when the teachers focus on a type of question which can be directly answered from the text-book.
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