
Accession Number : ADA018433
Title : A dPseudomanifold with f(sub 0) Vertices Has at Least df(sub 0)(d1)(d+2) dSimplices.
Descriptive Note : Technical rept.,
Corporate Author : WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS
Personal Author(s) : Klee,Victor
Report Date : SEP 1975
Pagination or Media Count : 16
Abstract : Barnette was the first to prove that if (f sub k) is the number of kfaces of a simple (d+1)polytope P then (*) (F sub 0) = or > d(f sub d)  (d1)(d+2). He later extended (*) to a graphtheoretic setting and was thereby enabled to prove the dual inequality for triangulated dmanifolds. Here his methods are used to provide a different graphtheoretic extension of (*) and thus extend the dual inequality to simplicial dpseudomanifolds.
Descriptors : *Graphics, *Inequalities, Convex sets, Theorems
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE