Domination number of the non-commuting graph of finite groups

Let G be a non-abelian group. The non-commuting graph of group G, shown by ΓG, is a graph with the vertex set G \ Z(G), where Z(G) is the center of group G. Also two distinct vertices of a and b are adjacent whenever ab ≠ ba. A set S ⊆ V(Γ) of vertices in a graph Γ is a dominating set if every vert...

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Main Authors: Vatandoost, Ebrahim; Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran (Author), Khalili, Masoumeh; Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran (Author)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2018-10-10.
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