A d - PSEUDOMANIFOLD WITH fo VERTICES HAS AT LEAST dfo - ( d - 1 ) ( d + 2 ) d - SIMPLICES
نویسندگان
چکیده
Barnette was the first o prove that if fk is the number of k-faces of a simple (d+l)-polytope P then (*) fo • dfd' (d-1)(d+2). 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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تاریخ انتشار 2004