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
Mots-clés : simplicial complex, face numbers, simplicial sphere, flag sphere
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
@article{10_37236_74,
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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