An upper bound for the k-barycentric Davenport constant of groups of prime order

作者：Luong Tran Dinh^*

来源：Discrete Mathematics, 2010, 310(21): 2801-2805.

DOI：10.1016/j.disc.2010.06.017

• k-barycentric sequences
• k-barycentric Davenport constant

Let G be a finite abelian group and let k >= 2 be an integer. A sequence of k elements a(1), a(2), ... a(k) in G is called a k-barycentric sequence if there exists j is an element of {1,2,... k} such that Sigma(k)(i=1), a(j) = ka(j). The k-barycentric Davenport constant BD(k, G) is defined to be the smallest number s such that every sequence in G of length s contains a k-barycentric subsequence. In this paper, we prove that if p 5 is a prime, then BD(k, Z(p)) <= p + k - left peripendicular p-2/k right peripendicular - 2 for <= 3 <= k <= p - 1, which improves a result of Delorme et al.

• 出版日期2010-11-6