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Problemy Peredachi Informatsii, 2009, Volume 45, Issue 3, Pages 73–78 (Mi ppi1990)  
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
Full-text PDF (231 kB) Citations (4)
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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
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 3, Pages 258–263
DOI: https://doi.org/10.1134/S0032946009030065
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.64
Language: Russian
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
Citation in format AMSBIB
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\paper On symmetric matrices with indeterminate leading diagonals
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:41
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