Lattice Polytopes with Distinct Pair-Sums
β Scribed by M. D. Choi; T. Y. Lam; B. Reznick
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 52 KB
- Volume
- 27
- Category
- Article
- ISSN
- 0179-5376
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A subset S = {s 1 , . . . , s k } of an Abelian group G is called an S t -set of size k if all sums of t different elements in S are distinct. Let s(G) denote the cardinality of the largest S 2 -set in G. Let v(k) denote the order of the smallest Abelian group for which s(G) k. In this article, boun
A modified Bose-Chowla construction of sets with distinct sums of k-element subsets is presented. In infinitely many cases it yields sets with a certain multiplicative symmetry. These sets are then used to construct large sets S in certain nonabelian groups with the property that all k-letter words
Pair approximation has frequently proved e!ective for deriving qualitative information about lattice-based stochastic spatial models for population, epidemic and evolutionary dynamics. Pair approximation is a moment closure method in which the mean-"eld description is supplemented by approximate equ
This paper presents a procedure to construct the largest polytope of polynomials with every polynomial having a precise number of distinct real zeros in a specific real line segment. This polytope can be specified from the zeros of a finite number of polynomials.