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- W2106055440 abstract "A nonnegative matrix M with zero trace is primitive if for some positive integer k, Mk is positive. The exponent exp(M) of the primitive matrix is the smallest such k. By treating the digraph G whose adjacency matrix is the primitive matrix M, we will show that the minimum number of positive entries of M is 3n − 3 when exp(M) = 2. We will also show that for a symmetric n × n matrix M if exp(M) = 2, the minimum number of positive entries of M is 3n − 2 or 3n − 3 according to n." @default.
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- W2106055440 date "2005-09-01" @default.
- W2106055440 modified "2023-09-28" @default.
- W2106055440 title "Nonnegative primitive matrices with exponent 2" @default.
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- W2106055440 doi "https://doi.org/10.1016/j.laa.2005.05.018" @default.
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