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By Luz E. Marchan, Oscar Ordaz, Wolfgang and A. Schmid


Abstract. For (G,+) a finite abelian group the plus-minus weighted Davenport constant, denoted D±(G), is the smallest ℓ such that each sequence g1...gℓ over G has a weighted zero-subsum with weights +1 and −1, i.e., there is a non-empty subset I ⊂ {1,...,ℓ} such that ∑ i∈I aigi = 0 for ai ∈ {+1,−1}. We present new bounds for this constant, mainly lower bounds, and also obtain the exact value of this constant for various additional types of groups. hal-00835688, version 2- 14 Aug 2013 1

Year: 2013
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