A d-Pseudomanifold with f(sub 0) Vertices Has at Least df(sub 0)-(d-1)(d+2) d-Simplices.
WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
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Barnette was the first to prove that if f sub k is the number of k-faces of a simple d1-polytope P then F sub 0 or df sub d - d-1d2. He later extended to a graph-theoretic setting and was thereby enabled to prove the dual inequality for triangulated d-manifolds. Here his methods are used to provide a different graph-theoretic extension of and thus extend the dual inequality to simplicial d-pseudomanifolds.
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