Browsing by Author "Hamidoune, Yahya ould"

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. 
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 ...