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A system of gaps in the exponent set of primitive matrices

A system of gaps in the exponent set of primitive matrices

A matrix is nonnegative (positive) if all its entries are nonnegative (positive).A nonnegativ square matrix A is primitive if A k > 0 for some positive integer k.The smallest such k for the given matrix A is ,(A), the exponent (of primitivity) of A. Since 1950 when Wielandt [10] first …