9 citations · 42 across the 20 of their papers we have counts for
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A weighted generalization of Gao's n+D-1 Theorem
Yahya O. Hamidoune
Let denotes a finite abelian group of order and Davenport constant , and put . Let be a sequence with a maximal repetition at…
Hyper-atoms and the Kemperman's critical pair Theory
Yahya O. Hamidoune
In the present work, we introduce the notion of a hyper-atom and prove their main structure theorem. We then apply the global isoperimetric methodology to give a new proof for Kemp…
The global isoperimetric methodology applied to Kneser's Theorem
Yahya O. Hamidoune
We give in the present work a new methodology that allows to give isoperimetric proofs, for Kneser's Theorem and Kemperman's structure Theory and most sophisticated results of this…
Some additive applications of the isopermetric approach
Yahya Ould Hamidoune
Let be a group and let be a finite subset. The isoperimetric method investigates the objective function , defined on the subsets with and…
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 iterated image size for point-symmetric relations
Yahya Ould Hamidoune
Let be a point-symmetric reflexive relation and let such that is finite (and hence is finite for all , by the transitive action of the group…