Remarks on missing faces and generalized lower bounds on face numbers [article]

Eran Nevo
2009 arXiv   pre-print
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. Some partial results on these conjectures are presented.
arXiv:0810.5487v2 fatcat:xg27m6m4nfawpl62czog7tbis4