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- Ed Swartz
- J. Comb. Theory, Ser. A
- 2006

Chari proved that if âˆ† is a (d âˆ’ 1)-dimensional simplicial complex with a convex ear decomposition, then h0 â‰¤ Â· Â· Â· â‰¤ hbd/2c [7]. Nyman and Swartz raised the problem of whether or not theâ€¦ (More)

- Ed Swartz
- 2006

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 of the fine h-vectorâ€¦ (More)

- Ed Swartz, Shubhayan Sanatani, George Gabor Stephen Sandor, Richard A Schreiber
- American journal of medical genetics
- 1999

We describe a young girl diagnosed with the Adams-Oliver syndrome (AOS) associated with double outlet right ventricle, portal hypertension, and pulmonary hypertension. We hypothesize that aâ€¦ (More)

- Frank H. Lutz, Thom Sulanke, Ed Swartz
- Electr. J. Comb.
- 2009

In 1970, Walkup [46] completely described the set of f -vectors for the four 3manifolds S3, S2Ã—S1, S2Ã—S1, and RP . We improve one of Walkupâ€™s main restricting inequalities on the set of f -vectors ofâ€¦ (More)

- Ed Swartz
- J. Comb. Theory, Ser. B
- 2003

A g-element for a graded R-module is a one-form with properties similar to a Lefschetz class in the cohomology ring of a compact complex projective manifold, except that the induced multiplicationâ€¦ (More)

- Ed Swartz
- 2002

There is a one-to-one correspondence between geometric lattices and the intersection lattices of arrangements of homotopy spheres. When the arrangements are essential and fully partitioned,â€¦ (More)

- Kathryn L. Nyman, Ed Swartz
- Discrete & Computational Geometry
- 2004

- Isabella Novik, Ed Swartz
- Discrete & Computational Geometry
- 2009

We use Kleeâ€™s Dehn-Sommerville relations and other results on face numbers of homology manifolds without boundary to (i) prove Kalaiâ€™s conjecture providing lower bounds on the f -vectors of anâ€¦ (More)

- Caroline J. Klivans, Ed Swartz
- Discrete & Computational Geometry
- 2011

We prove that for any finite real hyperplane arrangement the average projection volumes of the maximal cones are given by the coefficients of the characteristic polynomial of the arrangement. Thisâ€¦ (More)

- Ed Swartz
- 2007

The number of PL-homeomorphism types of combinatorial manifolds in a fixed dimension with an upper bound on g2 is finite. At the intersection of topological and enumerative combinatorics is theâ€¦ (More)