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Rank decomposability in incident spaces

Davidson, K.R., Harrison, K.J. and Mueller, U.A. (1995) Rank decomposability in incident spaces. Linear Algebra and its Applications, 230 . pp. 3-19.

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A set of matrices M is rank decomposable if each matrix T in M is the sum of r rank one matrices in M, where r is the rank of T. We show that an incidence space, i.e. the set of matrices supported on a given pattern, is rank decomposable if and only if the bipartite graph associated with the pattern is chordal.

Publication Type: Journal Article
Murdoch Affiliation: School of Mathematical and Physical Sciences
Publisher: Elsevier
Copyright: © 1995 Published by Elsevier Inc.
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