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  •   University of Zawia DSpace
  • Scientific Journals || المجلات العلمية
  • Journal of Faculties of Education || مجلة كليات التربية
  • Issue24 || العدد الرابع والعشرين
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  •   University of Zawia DSpace
  • Scientific Journals || المجلات العلمية
  • Journal of Faculties of Education || مجلة كليات التربية
  • Issue24 || العدد الرابع والعشرين
  • View Item
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الرسوم البيانية المرتبطة بالزمر التبديلية المنتهية

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Date
2021-11
Author
داعوب, حمزة الهادي
Daoub, Hamza
Shafah, Osama
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Abstract
Let 𝐴 be a finite abelian group, An undirected graph 𝐺(𝐴) of a finite group 𝐴 is introduced and defined as an undirected simple graph whose vertex set is 𝑉(G) and two distinct vertices 𝑢 and 𝑣 are adjacent if and only if 𝑢2 ≠ 𝑣2. In this paper, for a finite group 𝐴 = (ℤ𝑛, . ), the degrees of vertices, the number of edges of 𝐺(𝐴), the eccentricity, diameter, girth, chromatic number are computed. Furthermore, Hamiltonian and Eulerian cycles of 𝐺 are proposed.
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http://dspace.zu.edu.ly/xmlui/handle/1/2077
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  • Issue24 || العدد الرابع والعشرين [24]

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