Symmetric and Skew-Symmetric {0,±1}-Matrices with Large Determinants

Autor:	Sho Suda, Gary R. W. Greaves
Rok vydání:	2017
Předmět:	Optimal design Conjecture 0211 other engineering and technologies Block matrix 021107 urban & regional planning 0102 computer and information sciences 02 engineering and technology Conference matrix 01 natural sciences Spectrum (topology) Combinatorics 010201 computation theory & mathematics Discrete Mathematics and Combinatorics Skew-symmetric matrix Tournament Mathematics
Zdroj:	Journal of Combinatorial Designs. 25:507-522
ISSN:	1063-8539
DOI:	10.1002/jcd.21567
Popis:	We show that the existence of {±1}-matrices having largest possible determinant is equivalent to the existence of certain tournament matrices. In particular, we prove a recent conjecture of Armario. We also show that large submatrices of conference matrices are determined by their spectrum.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a3646166c0148e00019bfc79637d0fca https://doi.org/10.1002/jcd.21567 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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