Geodesic
Remarks on missing faces and generalized lower bounds on face numbers
The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2
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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.
DOI : 10.37236/74
Classification : 52B11, 52B05, 05A15
Mots-clés : simplicial complex, face numbers, simplicial sphere, flag sphere 
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     author = {Eran Nevo},
     title = {Remarks on missing faces and generalized lower bounds on face numbers},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {2},
     doi = {10.37236/74},
     zbl = {1171.52005},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/74/}
}
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Eran Nevo. Remarks on missing faces and generalized lower bounds on face numbers. The electronic journal of combinatorics, The Björner Festschrift volume, Tome 16 (2009) no. 2. doi: 10.37236/74

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