Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers

  title={Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers},
  author={Eran Nevo},
  journal={Electr. J. Comb.},
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. 

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