Constrained and generalized barycentric Davenport constants

Abstract:

Let G be a finite abelian group. The constrained barycentric Davenport constant BD^s(G) with s ≥ 2, is the smallest positive integer d such that every sequence with d terms in G contains a k-barycentric subsequence with 2 ≤ k ≤ s. The generalized barycentric Davenport constant BD <inf>s</inf>(G), s ≥ 1, is the least positive integer d such that in every sequence with d terms there exist s disjoint barycentric subsequences. For s = 1, this is just the barycentric Davenport constant BD(G). Relations among BD^s(G), BD<inf>s</inf>(G) and BD(G) are established, these constants are related to the Davenport constant D(G). Some values or bounds of BD ^s(G), BD<inf>s</inf>(G) and BD(G) are given.

Año de publicación:

2007

Keywords:

• Barycentric sequence
• Constrained barycentric Davenport constant
• Barycentric Davenport constant
• Zero-sum
• Generalized barycentric Davenport constant
• Davenport constant

Fuente:

scopus

google