On the universal Grobner bases of toric ideals of graphs

dc.contributor.authorTatakis, C.en
dc.contributor.authorThoma, A.en
dc.date.accessioned2015-11-24T17:26:55Z
dc.date.available2015-11-24T17:26:55Z
dc.identifier.issn0097-3165-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13284
dc.rightsDefault Licence-
dc.subjecttoric idealsen
dc.subjecttoric varietiesen
dc.subjectgraver basisen
dc.subjectgraphsen
dc.subjectuniversal grobner basesen
dc.subjectterm ordersen
dc.titleOn the universal Grobner bases of toric ideals of graphsen
heal.abstractThe universal Grobner basis of an ideal is a Grobner basis with respect to all term orders simultaneously. We characterize in graph theoretical terms the elements of the universal Grobner basis of the toric ideal of a graph. We also provide a new degree bound. Finally, we give examples of graphs for which the true degrees of their circuits are less than the degrees of some elements of the Graver basis. (C) 2011 Elsevier Inc. All rights reserved.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDOI 10.1016/j.jcta.2011.01.005-
heal.identifier.secondary<Go to ISI>://000288771800002-
heal.identifier.secondaryhttp://ac.els-cdn.com/S0097316511000069/1-s2.0-S0097316511000069-main.pdf?_tid=79271e791d29072a2ad079450aef1b66&acdnat=1338462035_33ed653406c068a5787811ac7e4f8532-
heal.journalNameJournal of Combinatorial Theory Series Aen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2011-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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