Accession Number:

ADA018433

Title:

A d-Pseudomanifold with f(sub 0) Vertices Has at Least df(sub 0)-(d-1)(d+2) d-Simplices.

Descriptive Note:

Technical rept.,

Corporate Author:

WASHINGTON UNIV SEATTLE DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1975-09-01

Pagination or Media Count:

16.0

Abstract:

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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE