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BOUNDS ON MINORS OF BINARY MATRICES
Published online by Cambridge University Press: 23 December 2012
Abstract
We prove an upper bound on sums of squares of minors of $\{+1, -1\}$-matrices. The bound is sharp for Hadamard matrices, a result due to de Launey and Levin [‘$(1,-1)$-matrices with near-extremal properties’, SIAM J. Discrete Math.23(2009), 1422–1440], but our proof is simpler. We give several corollaries relevant to minors of Hadamard matrices.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 88 , Issue 2 , October 2013 , pp. 280 - 285
- Copyright
- Copyright © 2012 Australian Mathematical Publishing Association Inc.