Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/11942
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dc.contributor.authorBRIJDER, Robert-
dc.contributor.authorHoogeboom, Hendrik Jan-
dc.date.accessioned2011-05-12T15:33:36Z-
dc.date.availableNO_RESTRICTION-
dc.date.available2011-05-12T15:33:36Z-
dc.date.issued2011-
dc.identifier.citationLINEAR ALGEBRA AND ITS APPLICATIONS, 435 (2). p. 277-288-
dc.identifier.issn0024-3795-
dc.identifier.urihttp://hdl.handle.net/1942/11942-
dc.description.abstractWe show that the effect of principal pivot transform on the nullity values of the principal submatrices of a given (square) matrix is described by the symmetric difference operator (for sets). We consider its consequences for graphs, and in particular generalize the recursive relation of the interlace polynomial and simplify its proof. (C) 2011 Elsevier Inc. All rights reserved.-
dc.description.sponsorshipWe thank the referee for comments and corrections on the paper. In particular, the focus of the paper is improved. R. Brijder is supported by the Netherlands Organization for Scientific Research (NWO), project "Annotated graph mining".-
dc.language.isoen-
dc.publisherELSEVIER SCIENCE INC-
dc.subject.otherInterlace polynomial; Principal pivot transform; Schur complement; Delta-matroid; Local complementation; Circle graph-
dc.titleNullity invariance for pivot and the interlace polynomial-
dc.typeJournal Contribution-
dc.identifier.epage288-
dc.identifier.issue2-
dc.identifier.spage277-
dc.identifier.volume435-
local.format.pages12-
local.bibliographicCitation.jcatA1-
dc.description.notes[Brijder, Robert] Hasselt Univ, Diepenbeek, Belgium. [Brijder, Robert] Transnat Univ Limburg, Limburg, Belgium. [Hoogeboom, Hendrik Jan] Leiden Univ, Leiden Inst Adv Comp Sci, NL-2300 RA Leiden, Netherlands. robert.brijder@uhasselt.be-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.bibliographicCitation.oldjcatA1-
dc.identifier.doi10.1016/j.laa.2011.01.024-
dc.identifier.isi000289335200007-
item.contributorBRIJDER, Robert-
item.contributorHoogeboom, Hendrik Jan-
item.fullcitationBRIJDER, Robert & Hoogeboom, Hendrik Jan (2011) Nullity invariance for pivot and the interlace polynomial. In: LINEAR ALGEBRA AND ITS APPLICATIONS, 435 (2). p. 277-288.-
item.accessRightsRestricted Access-
item.fulltextWith Fulltext-
item.validationecoom 2012-
crisitem.journal.issn0024-3795-
crisitem.journal.eissn1873-1856-
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