The rainbow k-connectivity of the non-commutative graph of a finite group

The non-commuting graph Γ(G) of a non-abelian group G is defined as follows. The vertex set V(Γ(G)) of ℾ(G) is G \ Z(G) where Z(G) denotes the center of G and two vertices x and y are adjacent if and only if xy ≠ yx. We prove that the rainbow k-connectivity of Γ(G) is equal to ⌈k/2⌉ + 2, for 3 ≤ k...

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Main Authors: Dupont, Luis A.; Facultad de Matem\'aticas, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltr\'an S/N; Zona Universitaria; Xalapa, Ver., M\'exico, CP 91090 (Author), López, Raquiel; Facultad de Matem\'aticas, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltr\'an S/N; Zona Universitaria; Xalapa, Ver., M\'exico, CP 91090 (Author), Rodríguez, Miriam; Facultad de Matem\'aticas, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltr\'an S/N; Zona Universitaria; Xalapa, Ver., M\'exico, CP 91090 (Author)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2020-04-01.
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