16 citations · 47 across the 12 of their papers we have counts for
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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…
math.CO2007★ 10 cited
Face enumeration - from spheres to manifolds
Ed Swartz
We prove a number of new restrictions on the enumerative properties of homology manifolds and semi-Eulerian complexes and posets. These include a determination of the affine span o…
math.CO2007
Coloring complexes and arrangements
Patricia Hersh, Ed Swartz
Steingrimsson's coloring complex and Jonsson's unipolar complex are interpreted in terms of hyperplane arrangements. This viewpoint leads to short proofs that all coloring complexe…