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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.CO2008
f-Vectors of 3-Manifolds
Frank H. Lutz, Thom Sulanke, Ed Swartz
In 1970, Walkup completely described the set of -vectors for the four 3-manifolds , , , and . We improve one of Walkup's main restricti…