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Combinatorica

, Volume 6, Issue 4, pp 309–314 | Cite as

Extremal clique coverings of complementary graphs

  • D. de Caen
  • P. Erdős
  • N. J. Pullmann
  • N. C. Wormald
Article

Abstract

Letcc(G) (resp. cp(G)) be the least number of complete subgraphs needed to cover (resp. partition) the edges of a graphG. We present bounds on max {cc(G)+cc(Ḡ)}, max {cp(G)+cp(Ḡ)}, max {cc(G)cc(Ḡ)} and max {cp(G)cp(Ḡ)} where the maxima are taken over all graphsG onn vertices and Ḡ is the complement ofG inK n . Several related open problems are also given.

AMS subject classification (1980)

05 C 35 

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References

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Copyright information

© Akadémiai Kiadó 1986

Authors and Affiliations

  • D. de Caen
    • 1
  • P. Erdős
    • 2
  • N. J. Pullmann
    • 3
  • N. C. Wormald
    • 4
  1. 1.Northeastern Univ.BostonU.S.A.
  2. 2.Math. InstituteHungarian Acad. of SciencesBudapestHungary
  3. 3.Queen’s University KingstonOntarioCanada
  4. 4.Univ. of AucklandAucklandNew Zealand

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