The object of this paper is to obtain a set of inequalities relating the face numbers of different orbit types of a simplicial polytope P with a finite solvable group G of linear symmetries. It is assumed that (1) for each subgroup H of G, the fixed point set P H is a subpolytope of P, and (2) the t
Gap Inequalities for the Cut Polytope
β Scribed by Monique Laurent; Svatopluk Poljak
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 437 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0195-6698
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π SIMILAR VOLUMES
The cyclic polytope C (n, d) is the convex hull of any n points on the moment curve {(t, t 2 , . . . , t d ) : we consider the fiber polytope (in the sense of Billera and Sturmfels [6]) associated to the natural projection of cyclic polytopes Ο : C(n, d ) β C(n, d) which 'forgets' the last dd coord
Garvan first defined certain ``vector partitions'' and assigned to each such partition a ``rank.'' Denoting by N V (r, m, n) the (weighted) count of the vector partitions of n with rank r modulo m, he gave a number of relations between the numbers N V (r, m, mn+k) when m=5, 7 and 11, 0 r, k<m. The t
## Abstract Given that wealthier people are healthier, the increase in income inequality over the past two decades has led to fears that inequalities in health have also increased. Indeed, some papers have found that health disparities have become more salient among some adult populations. Using th