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math.CO2008
Applications of Klee's Dehn-Sommerville relations
Isabella Novik, Ed Swartz
We use Klee's Dehn-Sommerville relations and other results on face numbers of homology manifolds without boundary to (i) prove Kalai's conjecture providing lower bounds on the f-ve…
math.CO2007★ 9 cited
Socles of Buchsbaum modules, complexes and posets
Isabella Novik, Ed Swartz
The socle of a graded Buchsbaum module is studied and is related to its local cohomology modules. This algebraic result is then applied to face enumeration of Buchsbaum simplicial…