Rigidity and the Lower Bound Theorem for Doubly Cohen-Macaulay Complexes
| dc.creator | Nevo, Eran | |
| dc.date | 2005-05-16 | |
| dc.date | 2006-05-05 | |
| dc.date.accessioned | 2026-07-07T10:00:27Z | |
| dc.date.available | 2026-07-07T10:00:27Z | |
| dc.description | We prove that for $d\geq 3$, the 1-skeleton of any $(d-1)$-dimensional doubly Cohen Macaulay (abbreviated 2-CM) complex is generically $d$-rigid. This implies the following two corollaries (by Kalai and Lee respectively): Barnette's lower bound inequalities for boundary complexes of simplicial polytopes hold for every 2-CM complex (of dimension $\geq 2$). Moreover, the initial part $(g_0,g_1,g_2)$ of the $g$-vector of a 2-CM complex (of dimension $\geq 3$) is an $M$-sequence. It was conjectured by Björner and Swartz that the entire $g$-vector of a 2-CM complex is an $M$-sequence. | |
| dc.description | Revised: 9 pages, no figures, a relation to nowhere zero flows added, some minor changes. To appear in DCG | |
| dc.identifier | https://arxiv.org/abs/math/0505334 | |
| dc.identifier | http://arxiv.org/abs/math/0505334 | |
| dc.identifier | Discrete Comput. Geom. 39 (2008), no. 1-3, 411--418. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168325 | |
| dc.subject | Combinatorics | |
| dc.subject | 52C25; 13F55 | |
| dc.title | Rigidity and the Lower Bound Theorem for Doubly Cohen-Macaulay Complexes | |
| dc.type | text |