Browsing by Author "Hamidoune, Yahya Ould"
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A lower bound for the size of a Minkowski sum of dilates
Hamidoune, Yahya Ould; Rué Perna, Juan José (20110301)
Article
Open AccessLet A be a finite nonempty set of integers. An asymptotic estimate of the size of the sum of several dilates was obtained by Bukh. The unique known exact bound concerns the sum A + k·A, where k is a prime and A is ... 
On sums of dilates
Javier, Cilleruelo; Hamidoune, Yahya Ould; Serra Albó, Oriol (20091005)
Article
Open AccessFor k prime and A a finite set of integers with A ≥ $3(k1)^2$ (k1)! we prove that A+k·A ≥ (k+1)A − ⌈k(k+2)/4⌉ where k·A = {ka:a∈A}. We also describe the sets for which equality holds. 
On the tipology of vertextransitive graphs
Hamidoune, Yahya Ould (20100609)
Audiovisual
Open Access 
Topology of Cayley graphs applied to inverse additive problems
Hamidoune, Yahya Ould (Iniciativa Digital Politècnica, 2011)
Conference report
Open AccessWe present the basic isopermetric structure theory, obtaining some new simplified proofs. Let 1 ≤ r ≤ k be integers. As an application, we obtain simple descriptions for the subsets S of an abelian group with kS ≤ ... 
Vertextransitive graphs that remain connected after failure of a vertex an its neighbors
Hamidoune, Yahya Ould; Lladó Sánchez, Ana M.; López Masip, Susana Clara (Wiley InterScience, 2010)
Article
Restricted access  publisher's policyA dregular graph is said to be superconnected if any disconnecting subset with cardinality at most d is formed by the neighbors of some vertex. A superconnected graph that remains connected after the failure of a vertex ... 
VertexTransitive Graphs That Remain Connected After Failure of a Vertex and Its Neighbors
Hamidoune, Yahya Ould; Lladó Sánchez, Ana M.; López Masip, Susana Clara (Wiley InterScience, 201106)
Article
Restricted access  publisher's policyA dregular graph is said to be superconnected if any disconnecting subset with cardinality at most d is formed by the neighbors of some vertex. A superconnected graph that remains connected after the failure of a vertex ...