| dc.contributor.author | Bayer, Margaret M. | |
| dc.contributor.author | Ehrenborg, Richard | |
| dc.date.accessioned | 2005-06-02T21:43:01Z | |
| dc.date.available | 2005-06-02T21:43:01Z | |
| dc.date.issued | 2000 | |
| dc.identifier.citation | Bayer, MM; Ehrenborg, R. The toric h-vectors of partially ordered sets. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 352(10); 4515-4531. | |
| dc.identifier.uri | http://hdl.handle.net/1808/464 | |
| dc.description | First published in TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 352(10), published by the American Mathematical Society. | |
| dc.description.abstract | An explicit formula for the toric h-vector of an Eulerian poset in terms of the cd-index is developed using coalgebra techniques. The same techniques produce a formula in terms of the ag h-vector. For this, another proof based on Fine's algorithm and lattice-path counts is given. As a consequence, it is shown that the Kalai relation on dual posets, g (n/2)(P) = g(n/2)(P*), is the only equation relating the h-vectors of posets and their duals. A result on the h-vectors of oriented matroids is given. A simple formula for the cd-index in terms of the ag h-vector is derived. | |
| dc.format.extent | 274110 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en_US | |
| dc.publisher | AMER MATHEMATICAL SOC | |
| dc.subject | Partially ordered set | |
| dc.subject | H-vector | |
| dc.subject | Cd-index | |
| dc.subject | Coalgebra | |
| dc.title | The toric h-vectors of partially ordered sets | |
| dc.type | Article | |
| kusw.kuauthor | Bayer, Margaret M. | |
| dc.identifier.doi | 10.1090/S0002-9947-00-02657-X | |
| dc.rights.accessrights | openAccess | |
