Department of Mathematics and Statistics (DMAS)

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Browsing Department of Mathematics and Statistics (DMAS) by Author "Hogben, Leslie"

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    The nonnegative P 0 -matrix completion problem.
    (2003) Choi, Ji Young; Dealba, Luz Maria; Hogben, Leslie; Kivunge, Benard M; Nordstrom, Sandra K; Shedenhelm, Mike
    In this paperthe nonnegative P 0 -matrix completion problem is considered. It is shown that a pattern for 4 × 4 matrices that includes all diagonal positions has nonnegative P 0 - completion if and only if its digraph is complete when it has a 4-cycle. It is also shown that any positionally symmetric pattern that includes all diagonal positions and whose graph is an n -cycle has nonnegative P 0 -completion if and only if n =4.