dc.contributor.author | Erey, Nursel | |
dc.date.accessioned | 2015-08-13T11:40:45Z | |
dc.date.available | 2015-08-13T11:40:45Z | |
dc.date.issued | 2015 | |
dc.identifier.uri | http://hdl.handle.net/10222/59856 | |
dc.description.abstract | In this thesis, we investigate the relation between invariants of minimal free resolutions of monomial ideals and combinatorial properties of simplicial complexes. We provide a sufficient combinatorial condition for monomial ideals to have nonzero Betti numbers and show that such a condition completely characterizes Betti numbers of facet ideals of simplicial forests. We also present a new approach to computing Betti numbers of path ideals of certain graph classes. | en_US |
dc.language.iso | en | en_US |
dc.subject | Monomial ideals | en_US |
dc.subject | Minimal free resolutions | en_US |
dc.subject | Betti numbers | en_US |
dc.subject | Simplicial complexes | en_US |
dc.title | On the combinatorics of resolutions of monomial ideals | en_US |
dc.type | Thesis | en_US |
dc.date.defence | 2015-08-04 | |
dc.contributor.department | Department of Mathematics & Statistics - Math Division | en_US |
dc.contributor.degree | Doctor of Philosophy | en_US |
dc.contributor.external-examiner | Sean Sather-Wagstaff | en_US |
dc.contributor.graduate-coordinator | David Iron | en_US |
dc.contributor.thesis-reader | Keith Johnson | en_US |
dc.contributor.thesis-reader | Robert Pare | en_US |
dc.contributor.thesis-supervisor | Sara Faridi | en_US |
dc.contributor.ethics-approval | Not Applicable | en_US |
dc.contributor.manuscripts | Yes | en_US |
dc.contributor.copyright-release | No | en_US |