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On the base set of primitive non-powerful sign pattern matrices with nonzero diagonal entries[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(3): 28-32 .
Citation: On the base set of primitive non-powerful sign pattern matrices with nonzero diagonal entries[J]. Journal of South China Normal University (Natural Science Edition), 2009, 1(3): 28-32 .

On the base set of primitive non-powerful sign pattern matrices with nonzero diagonal entries

  • The base set for primitive non-powerful sign pattern matrices with nonzero diagonal entries is investigated, and the sharp upper bounds are obtained. It is shown that there exist no gaps in the base set of the classes of such matrices.
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