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Multi-wise and constrained fully weighted Davenport constants and interactions with coding theory
ArticleAbstract: We consider two families of weighted zero-sum constants for finite abelian groups. For a finite abelPalabras claves:Cap set, Davenport constant, Finite abelian group, Linear intersecting code, Weighted subsum, Zero-sum problemAutores:Luz Elimar Marchan, Ordaz O., Santos I., Schmid W.A.Fuentes:googlescopusOn the harborth constant of (formula presented)
ArticleAbstract: For a finite abelian group (G, +, 0) the Harborth constant g(G) is the smallest integer k such thatPalabras claves:Finite abelian group, Harborth constant, Squarefree sequence, Zero-sum problemAutores:Guillot P., Luz Elimar Marchan, Ordaz O., Schmid W.A., Zerdoum H.Fuentes:googlescopusInverse results for weighted Harborth constants
ArticleAbstract: For a finite abelian group (G, +), the Harborth constant is defined as the smallest integer ℓ such tPalabras claves:Erdos-Ginzburg-Ziv constant, Finite abelian group, Weighted subsum, Zero-sum problemAutores:Luz Elimar Marchan, Ordaz O., Ramos D., Schmid W.A.Fuentes:googlescopusRemarks on the plus-minus weighted Davenport constant
ArticleAbstract: For (G, +) a finite abelian group the plus-minus weighted Davenport constant, denoted D±(G), is thePalabras claves:additive combinatorics, Davenport constant, dissociated set, Zero-sum sequenceAutores:Luz Elimar Marchan, Ordaz O., Schmid W.A.Fuentes:googlescopusSome exact values of the Harborth constant and its plus-minus weighted analogue
ArticleAbstract: The Harborth constant of a finite abelian group is the smallest integer l such that each subset of GPalabras claves:Finite abelian group, Weighted subsum, Zero-sum problemAutores:Luz Elimar Marchan, Ordaz O., Ramos D., Schmid W.A.Fuentes:googlescopus