, Volume 13, Issue 1, pp 1–5 | Cite as

Clique coverings of the edges of a random graph

  • Béla Bollobás
  • Paul Erdős
  • Joel Spencer
  • Douglas B. West


The edges of the random graph (with the edge probabilityp=1/2) can be covered usingO(n2lnlnn/(lnn)2) cliques. Hence this is an upper bound on the intersection number (also called clique cover number) of the random graph. A lower bound, obtained by counting arguments, is (1−ɛ)n2/(2lgn)2.

AMS subject classification code (1991)

05 C 80 


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Copyright information

© Akadémiai Kiadó 1993

Authors and Affiliations

  • Béla Bollobás
    • 1
    • 2
  • Paul Erdős
    • 4
  • Joel Spencer
    • 3
  • Douglas B. West
    • 5
  1. 1.Louisiana State UniversityBaton Rouge
  2. 2.Cambridge Univ.England
  3. 3.Courant InstituteNew YorkUSA
  4. 4.Hungarian Academy of SciencesBudapestHungary
  5. 5.University of IllinoisUrbana

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