Integer symmetric matrices having all their eigenvalues in the interval [-2,2]

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dc.creatorMcKee, James
dc.creatorSmyth, Chris
dc.date2007-05-24
dc.date.accessioned2026-07-07T08:03:06Z
dc.date.available2026-07-07T08:03:06Z
dc.descriptionWe completely describe all integer symmetric matrices that have all their eigenvalues in the interval [-2,2]. Along the way we classify all signed graphs, and then all charged signed graphs, having all their eigenvalues in this same interval. We then classify subsets of the above for which the integer symmetric matrices, signed graphs and charged signed graphs have all their eigenvalues in the open interval (-2,2).
dc.description33 pages, 18 figures
dc.identifierhttps://arxiv.org/abs/0705.3599
dc.identifierhttp://arxiv.org/abs/0705.3599
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129460
dc.subjectCombinatorics
dc.subjectNumber Theory
dc.subject05C50;11C20;05C22;15A36
dc.titleInteger symmetric matrices having all their eigenvalues in the interval [-2,2]
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