L. Marchan

activity

20082018

most citedA Weighted Generalization of Two Theorems of Gao

4 citations · 7 across the 7 of their papers we have counts for

collaborators

7 papers

math.CO2018

On the Harborth constant of $C_{3} \oplus C_{3 n}$

Philippe Guillot, Luz Elimar Marchan, Oscar Ordaz +2

For a finite abelian group $(G, +, 0)$ the Harborth constant $g (G)$ is the smallest integer $k$ such that each squarefree sequence over $G$ of length $k$ , equivalently each…

math.CO2015

Inverse results for weighted Harborth constants

Luz Elimar Marchan, Oscar Ordaz, Dennys Ramos +1

For a finite abelian group $(G, +)$ the Harborth constant is defined as the smallest integer $ℓ$ such that each squarefree sequence over $G$ of length $ℓ$ has a subsequence of…

math.NT2014

Multi-wise and constrained fully weighted Davenport constants and interactions with coding theory

Luz Elimar Marchan, Oscar Ordaz, Irene Santos +1

We consider two families of weighted zero-sum constants for finite abelian groups. For a finite abelian group $(G, +)$ , a set of weights $W \subset Z$ , and an integral…

math.CO2013

Some exact values of the Harborth constant and its plus-minus weighted analogue

Luz Elimar Marchan, Oscar Ordaz, Dennys Ramos +1

The Harborth constant of a finite abelian group is the smallest integer $ℓ$ such that each subset of $G$ of cardinality $ℓ$ has a subset of cardinality equal to the exponent…

math.NT2013

Remarks on the plus-minus weighted Davenport constant

Luz Elimar Marchan, Oscar Ordaz, Wolfgang Schmid

For $(G, +)$ a finite abelian group the plus-minus weighted Davenport constant, denoted $D_{\pm} (G)$ , is the smallest $ℓ$ such that each sequence $g_{1} ... g_{ℓ}$ over…

math.NT2009★ 4 cited

A Weighted Generalization of Two Theorems of Gao

David J. Grynkiewicz, Luz Elimar Marchan, Oscar Ordaz

Let $G$ be a finite abelian group and let $A \subseteq Z$ be nonempty. Let $D_{A} (G)$ denote the minimal integer such that any sequence over $G$ of length $D_{A} (G)$ must conta…