Now showing items 1-3 of 3

  • On sums of dilates 

    Javier, Cilleruelo; Hamidoune, Yahya ould; Serra Albó, Oriol (2009-10-05)
    Article
    Open Access
    For k prime and A a finite set of integers with |A| ≥ $3(k-1)^2$ (k-1)! 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.
  • Vertex-transitive 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 policy
    A d-regular 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 ...
  • Vertex-Transitive 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, 2011-06)
    Article
    Restricted access - publisher's policy
    A d-regular 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 ...