Unimodular triangulations of simplicial cones by short vectors

DC FieldValueLanguage
dc.contributor.authorBruns, Winfried
dc.contributor.authorvon Thaden, Michael
dc.date.accessioned2021-12-23T16:05:43Z-
dc.date.available2021-12-23T16:05:43Z-
dc.date.issued2017
dc.identifier.issn00973165
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/7162-
dc.description.abstractWe establish a bound for the length of vectors involved in a unimodular triangulation of simplicial cones. The bound is exponential in the square of the logarithm of the multiplicity, and improves previous bounds significantly. The proof is based on a successive reduction of the highest prime divisor of the multiplicity and uses the prime number theorem to control the length of the subdividing vectors. (C) 2017 Elsevier Inc. All rights reserved.
dc.language.isoen
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE
dc.relation.ispartofJOURNAL OF COMBINATORIAL THEORY SERIES A
dc.subjectMathematics
dc.subjectSimplicial cone
dc.subjectStellar subdivision
dc.subjectUnimodular triangulation
dc.titleUnimodular triangulations of simplicial cones by short vectors
dc.typejournal article
dc.identifier.doi10.1016/j.jcta.2017.02.005
dc.identifier.isiISI:000401394700004
dc.description.volume150
dc.description.startpage137
dc.description.endpage151
dc.identifier.eissn10960899
dc.publisher.place525 B ST, STE 1900, SAN DIEGO, CA 92101-4495 USA
dcterms.isPartOf.abbreviationJ. Comb. Theory Ser. A
dcterms.oaStatusBronze, Green Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
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