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Lattice Polytopes with Distinct Pair-Sums

✍ 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

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πŸ“œ SIMILAR VOLUMES


Sets in with distinct sums of pairs
✍ Harri HaanpÀÀ; Antti Huima; Patric Γ–stergΓ₯rd πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 208 KB
Sets in Abelian groups with distinct sum
✍ Harri HaanpÀÀ; Patric R.J. Γ–stergΓ₯rd πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 141 KB

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

Nonabelian sets with distinct k-sums
✍ A.M. Odlyzko; W.D. Smith πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 407 KB

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 for Lattice Models wi
✍ STEPHEN P. ELLNER πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 336 KB

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

On the largest polytope of polynomials w
✍ C.B. Soh πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 353 KB

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.