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Barycentric-sum problems: A survey
ArticleAbstract: Let G be a finite abelian group. A sequence in G is barycentric if it contains one element "average"Palabras claves:Barycentric Davenport constant, Barycentric Ramsey number, Barycentric sequence, Davenport constant, K-barycentric Davenport constant, Strong k-barycentric Davenport constantAutores:Domingo Quiroz, Ordaz O.Fuentes:googlescopusA weighted generalization of two theorems of Gao
ArticleAbstract: Let G be a finite abelian group and let A⊆ℤ be nonempty. Let D A(G) denote the minimal integer suchPalabras claves:Davenport constant, Setpartition, Weighted subsequence sums, Zero-sum problemAutores:Grynkiewicz D., Luz Elimar Marchan, Ordaz O.Fuentes:googlescopusConstrained and generalized barycentric Davenport constants
ArticleAbstract: Let G be a finite abelian group. The constrained barycentric Davenport constant BDs(G) with s ≥ 2, iPalabras claves:Barycentric Davenport constant, Barycentric sequence, Constrained barycentric Davenport constant, Davenport constant, Generalized barycentric Davenport constant, Zero-sumAutores:Domingo Quiroz, González L., Márquez I., Ordaz O.Fuentes:googlescopusMulti-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:googlescopusOn viruses in graphs and digraphs
ArticleAbstract: A virus is a local configuration that, if present in a graph or a digraph, forbids these graphs or dPalabras claves:Digraph, Digraph property, graph, Graph property, virusAutores:Domingo Quiroz, González L., Ordaz O.Fuentes:googlescopusOn zero free sets
ArticleAbstract: Let G be a finite abelian group and let ZFSs(G) and μs(G) be respectively, the set of zero free setsPalabras claves:Davenport constant, Minimal zero sets, Olson constant, Strong davenport constant, Zero setsAutores:Domingo Quiroz, Ordaz O.Fuentes:googlescopusMaximum line-free set geometry in ℤ<sup>d</sup><inf>3</inf>
ArticleAbstract: Let ℤd3 be the affine space of dimension d on the ℤ3 field. The main goal of this paper is the geomePalabras claves:Affine space, Hyperplane, Line, Line-free, Plane, Zero-sumAutores:Delorme C., Domingo Quiroz, Márquez I., Ordaz O.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:googlescopus