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dc.contributor.authorDuval, Art M.
dc.contributor.authorGoeckner, Bennet
dc.contributor.authorKlivans, Caroline J.
dc.contributor.authorMartin, Jeremy L.
dc.date.accessioned2016-08-30T18:13:24Z
dc.date.available2016-08-30T18:13:24Z
dc.date.issued2016-08-20
dc.identifier.citationArt M. Duval, Bennet Goeckner, Caroline J. Klivans and Jeremy L. Martin. A non-partitionable Cohen-Macaulay simplicial complex. Advances in Mathematics 299 (2016), 381-395.en_US
dc.identifier.urihttp://hdl.handle.net/1808/21424
dc.description.abstractA long-standing conjecture of Stanley states that every Cohen–Macaulay simplicial complex is partitionable. We disprove the conjecture by constructing an explicit counterexample. Due to a result of Herzog, Jahan and Yassemi, our construction also disproves the conjecture that the Stanley depth of a monomial ideal is always at least its depth.en_US
dc.publisherElsevieren_US
dc.rights© 2016 Elsevier Inc. All rights reserved.en_US
dc.subjectSimplicial complexen_US
dc.subjectH-vector;en_US
dc.subjectCohen–Macaulayen_US
dc.subjectConstructibilityen_US
dc.subjectPartitionabilityen_US
dc.subjectStanley depthen_US
dc.titleA Non-Partitionable Cohen-Macaulay Simplicial Complexen_US
dc.typeArticleen_US
kusw.kuauthorGoeckner, Bennet
kusw.kuauthorMartin, Jeremy L.
kusw.kudepartmentMathematicsen_US
dc.identifier.doi10.1016/j.aim.2016.05.011en_US
kusw.oaversionScholarly/refereed, author accepted manuscripten_US
kusw.oapolicyThis item meets KU Open Access policy criteria.en_US
dc.rights.accessrightsopenAccess


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