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Let G be a connected graph of order n having ɛ ( G ) end-vertices. Given a positive integer t , we denote by S ( G ,  t ) the t -th generalized Sierpinski graph of G . In this note we show that if every internal vertex of G is a cut vertex, then the strong metric dimension of S ( G ,  t ) is given by dim s ( S ( G ,  t )) = ( ɛ ( G )( n t  − 2 n t  − 1  + 1) −  n  + 1) / ( n  − 1) .

The strong metric dimension of generalized Sierpiński graphs with pendant vertices