Y. O. Hamidoune

activity

20052008

most citedHyper-atoms and the Kemperman's critical pair Theory

9 citations · 31 across the 11 of their papers we have counts for

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4 papers · 1 filter

math.CO2009

Extensions of the Scherck-Kemperman Theorem

Y. O. Hamidoune

Let $Γ = (V, E)$ be a reflexive relation with a transitive automorphisms group. Let $v \in V$ and let $F$ be a finite subset of $V$ with $v \in F .$ We prove that the size of $Γ (F)$ (the…

math.CO2007★ 1 cited

A weighted generalization of Gao's n+D-1 Theorem

Yahya O. Hamidoune

Let $G$ denotes a finite abelian group of order $n$ and Davenport constant $D$ , and put $m = n + D - 1$ . Let $x = (x_{1}, ..., x_{m}) \in G^{m}$ be a sequence with a maximal repetition $ℓ$ at…

math.CO2007★ 2 cited

Some additive applications of the isopermetric approach

Yahya Ould Hamidoune

Let $G$ be a group and let $X$ be a finite subset. The isoperimetric method investigates the objective function $∣ (X B) ∖ X ∣$ , defined on the subsets $X$ with $∣ X ∣ \geq k$ and…

math.CO2007★ 1 cited

On iterated image size for point-symmetric relations

Yahya Ould Hamidoune

Let $Γ = (V, E)$ be a point-symmetric reflexive relation and let $v \in V$ such that $∣Γ (v) ∣$ is finite (and hence $∣Γ (x) ∣$ is finite for all $x$ , by the transitive action of the group…