Double-toroidal and 1-planar non-commuting graph of a group
نویسندگان
چکیده
Let G be a finite non-abelian group and denote by Z(G) its center. The non-commuting graph of on transversal the center is whose vertices are non-central elements in two x y adjacent whenever xy=yx. In this work, we classify groups centeris double-toroidal or 1-planar.
منابع مشابه
commuting and non -commuting graphs of finit groups
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15 صفحه اولNon - commuting graph of a group ✩
Let G be a non-abelian group and let Z(G) be the center of G. Associate a graph ΓG (called noncommuting graph of G) with G as follows: Take G\Z(G) as the vertices of ΓG and join two distinct vertices x and y, whenever xy = yx. We want to explore how the graph theoretical properties of ΓG can effect on the group theoretical properties of G. We conjecture that if G and H are two non-abelian finit...
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ژورنال
عنوان ژورنال: Algebra and discrete mathematics
سال: 2022
ISSN: ['1726-3255', '2415-721X']
DOI: https://doi.org/10.12958/adm1935