dc.contributor.author | Duval, Art M. | |
dc.contributor.author | Goeckner, Bennet | |
dc.contributor.author | Klivans, Caroline J. | |
dc.contributor.author | Martin, Jeremy L. | |
dc.date.accessioned | 2016-08-30T18:13:24Z | |
dc.date.available | 2016-08-30T18:13:24Z | |
dc.date.issued | 2016-08-20 | |
dc.identifier.citation | Art 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.uri | http://hdl.handle.net/1808/21424 | |
dc.description.abstract | A 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.publisher | Elsevier | en_US |
dc.rights | © 2016 Elsevier Inc. All rights reserved. | en_US |
dc.subject | Simplicial complex | en_US |
dc.subject | H-vector; | en_US |
dc.subject | Cohen–Macaulay | en_US |
dc.subject | Constructibility | en_US |
dc.subject | Partitionability | en_US |
dc.subject | Stanley depth | en_US |
dc.title | A Non-Partitionable Cohen-Macaulay Simplicial Complex | en_US |
dc.type | Article | en_US |
kusw.kuauthor | Goeckner, Bennet | |
kusw.kuauthor | Martin, Jeremy L. | |
kusw.kudepartment | Mathematics | en_US |
dc.identifier.doi | 10.1016/j.aim.2016.05.011 | en_US |
kusw.oaversion | Scholarly/refereed, author accepted manuscript | en_US |
kusw.oapolicy | This item meets KU Open Access policy criteria. | en_US |
dc.rights.accessrights | openAccess | |