Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers

Eran Nevo

doi:10.37236/74

Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers

Eran Nevo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

Abstract

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.

Original language	English
Article number	R8
Journal	Electronic Journal of Combinatorics
Volume	16
Issue number	2
DOIs	https://doi.org/10.37236/74
State	Published - 2009
Externally published	Yes

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© 2009, Australian National University. All rights reserved.

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10.37236/74

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Remarks on Missing Faces and Generalized Lower Bounds on Face Numbers

Abstract

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