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Trace-minimal graphs and D-optimal weighing designs

✍ Scribed by Bernardo M. Ábrego; Silvia Fernández-Merchant; Michael G. Neubauer; William Watkins

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 708 KB
Volume: 412
Category: Article
ISSN: 0024-3795
DOI: 10.1016/j.laa.2005.06.027

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## Abstract We obtain new conditions on the existence of a square matrix whose Gram matrix has a block structure with certain properties, including D‐optimal designs of order $n\equiv 3 \pmod 4$, and investigate relations to group divisible designs. We also find a matrix with large determinant for