A NEW INDEX FOR POLYTOPES

被引：79

作者：

BAYER, MM ^{[1
]}

KLAPPER, A ^{[1
]}

机构：

[1] NORTHEASTERN UNIV,COLL COMP SCI,BOSTON,MA 02115

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1991年 / 6卷 / 01期

关键词：

D O I：

10.1007/BF02574672

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A new index for convex polytopes is introduced. It is a vector whose length is the dimension of the linear span of the flag vectors of polytopes. The existence of this index is equivalent to the generalized Dehn-Sommerville equations. It can be computed via a shelling of the polytope. The ranks of the middle perversity intersection homology of the associated toric variety are computed from the index. This gives a proof of a result of Kalai on the relationship between the Betti numbers of a polytope and those of its dual. © 1991 Springer-Verlag New York Inc.

引用

页码：33 / 47

页数：15

共 19 条

[1] PROOF OF LOWER BOUND CONJECTURE FOR CONVEX POLYTOPES [J].