Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers

  • Eran Nevo

Abstract

We consider simplicial polytopes, and more general simplicial complexes, without missing faces above a fixed dimension. Sharp analogues of McMullen's generalized lower bounds, and of Barnette's lower bounds, are conjectured for these families of complexes. Partial results on these conjectures are presented.

Published
2009-04-27