There are no files associated with this item.
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.citation.endPage | 324 | - |
dc.citation.startPage | 315 | - |
dc.citation.title | ELECTRONIC JOURNAL OF LINEAR ALGEBRA | - |
dc.citation.volume | 16 | - |
dc.contributor.author | Tlusty, Tsvi | - |
dc.date.accessioned | 2023-12-22T09:08:59Z | - |
dc.date.available | 2023-12-22T09:08:59Z | - |
dc.date.created | 2020-02-20 | - |
dc.date.issued | 2007-10 | - |
dc.description.abstract | A relation between the multiplicity m of the second eigenvalue lambda(2) of a Laplacian on a graph G, tight mappings of G and a discrete analogue of Courant's nodal line theorem is discussed. For a certain class of graphs, it is shown that the m-dimensional eigenspace of lambda(2) is tight and thus defines a tight mapping of G into an m-dimensional Euclidean space. The tightness of the mapping is shown to set Colin de Verdieres upper bound on the maximal lambda(2)-multiplicity, m <= chr(gamma(G))-1, where chr(gamma(G)) is the chromatic number and gamma(G) is the genus of G. | - |
dc.identifier.bibliographicCitation | ELECTRONIC JOURNAL OF LINEAR ALGEBRA, v.16, pp.315 - 324 | - |
dc.identifier.issn | 1537-9582 | - |
dc.identifier.scopusid | 2-s2.0-35548934228 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/31199 | - |
dc.identifier.url | https://www.math.technion.ac.il/iic/ela/ela-articles/articles/vol16_pp315-324.pdf | - |
dc.identifier.wosid | 000250052000002 | - |
dc.language | 영어 | - |
dc.publisher | INT LINEAR ALGEBRA SOC | - |
dc.title | A relation between the multiplicity of the second eigenvalue of a graph Laplacian, Courant's nodal line theorem and the substantial dimension of tight polyhedral surfaces | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.type.docType | Article | - |
dc.description.journalRegisteredClass | scie | - |
dc.subject.keywordAuthor | graph Laplacian | - |
dc.subject.keywordAuthor | tight embedding | - |
dc.subject.keywordAuthor | nodal domains | - |
dc.subject.keywordAuthor | eigenfunctions | - |
dc.subject.keywordAuthor | polyhedral manifolds | - |
Items in Repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Tel : 052-217-1404 / Email : scholarworks@unist.ac.kr
Copyright (c) 2023 by UNIST LIBRARY. All rights reserved.
ScholarWorks@UNIST was established as an OAK Project for the National Library of Korea.