dc.contributor.author | Iriarte Giraldo, Benjamin | |
dc.date.accessioned | 2017-06-22T20:43:28Z | |
dc.date.available | 2017-06-22T20:43:28Z | |
dc.date.issued | 2016-11 | |
dc.date.submitted | 2015-02 | |
dc.identifier.issn | 0895-4801 | |
dc.identifier.issn | 1095-7146 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/110183 | |
dc.description.abstract | We study the eigenspace with largest eigenvalue of the Laplacian matrix of a simple graph. We find a surprising connection of this space with the theory of modular decomposition of Gallai, whereby eigenvectors can be used to discover modules. In the case of comparability graphs, eigenvectors are used to induce orientations of the graph, and the set of these induced orientations is shown to (recursively) correspond to the full set of transitive orientations. | en_US |
dc.language.iso | en_US | |
dc.publisher | Society for Industrial and Applied Mathematics | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1137/15M1008737 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | SIAM | en_US |
dc.title | Largest Eigenvalue of the Laplacian Matrix: Its Eigenspace and Transitive Orientations | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Iriarte, Benjamin. “Largest Eigenvalue of the Laplacian Matrix: Its Eigenspace and Transitive Orientations.” SIAM Journal on Discrete Mathematics 30, no. 4 (January 2016): 2146–2161 © 2016 Society for Industrial and Applied Mathematics | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
dc.contributor.mitauthor | Iriarte Giraldo, Benjamin | |
dc.relation.journal | SIAM Journal on Discrete Mathematics | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dspace.orderedauthors | Iriarte, Benjamin | en_US |
dspace.embargo.terms | N | en_US |
mit.license | PUBLISHER_POLICY | en_US |