Geodesic
Exterior square graph of a finite group
Filomat, Tome 36 (2022) no. 6, p. 1865

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DOI

In this paper, we define the exterior square graph Γ E ∧ G which is a graph associated to a non-cyclic finite group with the vertex set G Z ∧ (G), where Z ∧ (G) denotes the exterior center of G, and two vertices x and y are joined whenever x ∧ y = 1, where ∧ denotes the operator of non-abelian exterior square. We investigate how the group structure can be affected by completeness, regularity and bipartition of this graph.
DOI : 10.2298/FIL2206865Z
Classification : 05C25, 20P05
Keywords: Exterior square graph, CE-group, Schur multiplier 
M Zameni; P Niroomand; M Alizadeh Sanati; M Parvizi. Exterior square graph of a finite group. Filomat, Tome 36 (2022) no. 6, p. 1865 . doi: 10.2298/FIL2206865Z
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     title = {Exterior square graph of a finite group},
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     pages = {1865 },
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     volume = {36},
     number = {6},
     doi = {10.2298/FIL2206865Z},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2206865Z/}
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