A4-Graph of Finite Simple Groups
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New Type
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Let G be a finite group and X be a conjugacy class of order 3 in G. In this paper, we introduce a new type of graphs, namely A4-graph of G, as a simple graph denoted by A4(G,X) which has X as a vertex set. Two vertices, x and y, are adjacent if and only if x≠y and x y-1= y x-1. General properties of the A4-graph as well as the structure of A4(G,X) when G@ 3D4(2) will be studied.
2014 ◽
Vol 91
(2)
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pp. 227-240
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2016 ◽
Vol 09
(03)
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pp. 1650054
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1998 ◽
Vol 58
(1)
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pp. 137-145
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