8 citations · 25 across the 12 of their papers we have counts for
5 papers · 1 filter
The lonely runner with seven runners
J. Barajas, O. Serra
Suppose runners having nonzero constant speeds run laps on a unit-length circular track starting at the same time and place. A runner is said to be lonely if she is at distan…
Properties of two dimensional sets with small sumset
David J. Grynkiewicz, Oriol Serra
Let be finite, nonempty subsets, let be an integer, and let denote the minimal number such that there exist (not necessar…
Connectivity of Addition Cayley Graphs
David J. Grynkiewicz, Oriol Serra, Vsevolod Lev
For any finite abelian group and any subset $S\seq G$, we determine the connectivity of the addition Cayley graph induced by on . Moreover, we show that if this graph is…
On complete subsets of the cyclic group
Y. O. Hamidoune, A. S. Lladó, O. Serra
A subset of an abelian is said to be {\em complete} if every element of the subgroup generated by can be expressed as a nonempty sum of distinct elements from . Let…
On Some Subgroup Chains Related to Kneser's Theorem
Yahya Ould Hamidoune, Oriol Serra, Gilles Zemor
A recent result of Balandraud shows that for every subset S of an abelian group G, there exists a non trivial subgroup H such that |TS| <= |T|+|S|-2 holds only if the stabilizer of…