Geodesic
On the commutation graph of cyclic $TI$-subgroup in a symmetric group
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 436-442.

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We study the commutation graph $\Gamma _G(A)$ of cyclic $TI$-subgroup A of order 4 in a finite group $G$ with quasisimple generalized Fitting subgroup $F^*(G)$. It is proved that, if $F^*(G)$ is a covering group for $A_n$, then the graph $\Gamma _G(A)$ is edge-regular but not coedge-regular graph.
Keywords: finite group, cyclic $TI$-subgroup, commutation graph. 
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N. D. Zyulyarkina. On the commutation graph of cyclic $TI$-subgroup in a symmetric group. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 10 (2013), pp. 436-442. http://geodesic.mathdoc.fr/item/SEMR_2013_10_a11/

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