Obstructions to Shellability |
| |
Authors: | M L Wachs |
| |
Institution: | (1) Department of Mathematics, University of Miami, Coral Gables, FL 33124, USA wachs@math.miami.edu, US |
| |
Abstract: | We consider a simplicial complex generalization of a result of Billera and Myers that every nonshellable poset contains the
smallest nonshellable poset as an induced subposet. We prove that every nonshellable two-dimensional simplicial complex contains
a nonshellable induced subcomplex with less than eight vertices. We also establish CL-shellability of interval orders and
as a consequence obtain a formula for the Betti numbers of any interval order.
Received August 7, 1997, and in revised form September 9, 1998. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|