### A sparsity result on nonnegative real matrices with given spectrum

Thomas Laffey (1997)

Banach Center Publications

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Let σ=(λ1,...,λn) be the spectrum of a nonnegative real n × n matrix. It is shown that σ is the spectrum of a nonnegative real n × n matrix having at most ${(n+1)}^{2}/2-1$ nonzero entries.