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The strong metric dimension of the power graph of a finite group

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arxiv 1607.00257 v2 pith:B34EYPVA submitted 2016-07-01 math.CO

classification math.CO
keywords groupdimensiongraphmetricpowerstrongfiniteabelian
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We characterize the strong metric dimension of the power graph of a finite group. As applications, we compute the strong metric dimension of the power graph of a cyclic group, an abelian group, a dihedral group or a generalized quaternion group.

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