D. Grynkiewicz

activity

20072011

most citedWeighted Sequences in Finite Cyclic Groups

5 citations · 15 across the 13 of their papers we have counts for

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4 papers · 1 filter

math.CO2007★ 5 cited

Weighted Sequences in Finite Cyclic Groups

David J. Grynkiewicz, Jujuan Zhuang

Let $p > 7$ be a prime, let $G = Z / p Z$ , and let $S_{1} = \prod_{i = 1}^{p} g_{i}$ and $S_{2} = \prod_{i = 1}^{p} h_{i}$ be two sequences with terms from $G$ . Suppose that the maximum multiplicity of a t…

math.CO2007

Properties of two dimensional sets with small sumset

David J. Grynkiewicz, Oriol Serra

Let $A, B \subseteq R^{2}$ be finite, nonempty subsets, let $s \geq 2$ be an integer, and let $h_{1} (A, B)$ denote the minimal number $t$ such that there exist $2 t$ (not necessar…

math.CO2007

Connectivity of Addition Cayley Graphs

David J. Grynkiewicz, Oriol Serra, Vsevolod Lev

For any finite abelian group $G$ and any subset $S\seq G$, we determine the connectivity of the addition Cayley graph induced by $S$ on $G$ . Moreover, we show that if this graph is…

math.CO2007★ 1 cited

A Step Beyond Kemperman's Structure Theorem

David J. Grynkiewicz

A classical result of Kemperman gives a complete recursive description of the structure of those subsets $A$ and $B$ of an abelian group that fail to satisfy the triangle inequalit…