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A. AZAD1, M. GHORBANI1,*
Let G be a non-abelian group and let Z(G) be the center of G. We associate with G a graph ΓG as follows: Take G\Z(G) as vertices of ΓG and join two distinct vertices x and y whenever xy ≠ yx. The graph ΓG is called the noncommuting graph of G. In this paper we compute non – commuting graph of dihedral group D2n as a symmetry group of some fullerene graphs.
Fullerene, Non – commuting graphs, Conjugacy classes, Dihedral group.
A. AZAD, M. GHORBANI, Non – commuting graphs of group automorphism of an infinite family of fullerenes, Optoelectronics and Advanced Materials - Rapid Communications, 4, 8, August 2010, pp.1261-1263 (2010).
Submitted at: July 20, 2010
Accepted at: Aug. 12, 2010
Optoelectronics and Advanced Materials - Rapid Communications
(2023): 0.5 - 2023 Journal Citation Reports (Clarivate Analytics, 2024)
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