Lower bounds for Buchsbaum complexes
The class of ( d − 1 ) -dimensional Buchsbaum* simplicial complexes is studied. It is shown that the rank-selected subcomplexes of a (completely) balanced Buchsbaum* simplicial complex are also Buchsbaum*. Using this result, lower bounds on the h -numbers of balanced Buchsbaum* simplicial complexes...
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| Veröffentlicht in: | European journal of combinatorics 2011, Vol.32 (1), p.146-153 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The class of
(
d
−
1
)
-dimensional Buchsbaum* simplicial complexes is studied. It is shown that the rank-selected subcomplexes of a (completely) balanced Buchsbaum* simplicial complex are also Buchsbaum*. Using this result, lower bounds on the
h
-numbers of balanced Buchsbaum* simplicial complexes are established. In addition, sharp lower bounds on the
h
-numbers of flag
m
-Buchsbaum* simplicial complexes are derived, and the case of equality is treated. |
|---|---|
| ISSN: | 0195-6698 1095-9971 |
| DOI: | 10.1016/j.ejc.2010.07.007 |