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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 3, Pages 73–78
(Mi ppi1990)
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This article is cited in 4 scientific papers (total in 4 papers)
Large Systems
On symmetric matrices with indeterminate leading diagonals
A. V. Seliverstov, V. A. Lyubetsky A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
Abstract:
We consider properties of the matrix of a real quadratic form that takes a constant value on a sufficiently large set of vertices of a multidimensional cube centered at the origin given that the corresponding quadric does not separate vertices of the cube. In particular, we show that the number of connected components of the graph of the matrix of such a quadratic form does not change when one edge of the graph is deleted.
Received: 04.12.2008 Revised: 10.04.2009
Citation:
A. V. Seliverstov, V. A. Lyubetsky, “On symmetric matrices with indeterminate leading diagonals”, Probl. Peredachi Inf., 45:3 (2009), 73–78; Problems Inform. Transmission, 45:3 (2009), 258–263
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https://www.mathnet.ru/eng/ppi1990 https://www.mathnet.ru/eng/ppi/v45/i3/p73
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Abstract page: | 346 | Full-text PDF : | 82 | References: | 41 | First page: | 3 |
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