Geodesic
Twisted subset graphs of diameter~2
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 224-229

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A subset $K$ of a group $G$ is said to be twisted if $1\in K$ and $xy^{-1}x\in K$ for any $x,y\in K$. The connection between the structure of a twisted subset graph of diameter 2 and the structure of the group generated by the twisted subset is investigated.
Keywords: twisted subset, twisted subset graph. 
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     author = {A. L. Myl'nikov},
     title = {Twisted subset graphs of diameter~2},
     journal = {Trudy Instituta matematiki i mehaniki},
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     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a22/}
}
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A. L. Myl'nikov. Twisted subset graphs of diameter~2. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 19 (2013) no. 3, pp. 224-229. http://geodesic.mathdoc.fr/item/TIMM_2013_19_3_a22/