Remarks on missing faces and generalized lower bounds on face numbers

Details Remarks on missing faces and generalized lower bounds on face numbers Remarks on missing faces and generalized lower bounds on face numbers

2008-10-30

arxiv.org/abs/0810.5487v2

Mathematics

Combinatorics

11 pages. New content added: Conjecture 1.5 interpolates between the generalized lower bound conjecture for simplicial spheres

Scientific paper

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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