On the independence number and Hamiltonicity of uniform random intersection graphs

  • Authors:
  • S. Nikoletseas;C. Raptopoulos;P. G. Spirakis

  • Affiliations:
  • -;-;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

In the uniform random intersection graphs model, denoted by G"n","m","@l, to each vertex v we assign exactly @l randomly chosen labels of some label set M of m labels and we connect every pair of vertices that has at least one label in common. In this model, we estimate the independence number @a(G"n","m","@l), for the wide range m=@?n^@a@?,@a