Existence conditions for barycentric sequences Original Research Article

Let G be a finite abelian group. A sequence in G is barycentric if it contains one element which is the “average” of its terms. We give some sufficient conditions for the existence of barycentric sequences, with prescribed or unconstrained length. The barycentric Davenport constant BD(G) and strong Davenport constant SD(G) are studied and some bounds are given. These constants are related to the Davenport constant D(G).