, Volume 1, Issue 2, pp 141–143 | Cite as

On the conjecture of hajós

  • Paul Erdős
  • Siemion Fajtlowicz


Hajós conjectured that everys-chromatic graph contains a subdivision ofK s, the complete graph ons vertices. Catlin disproved this conjecture. We prove that almost all graphs are counter-examles in a very strong sense.

AMS (1980) subject classification

05 C 15 60 C 05 


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Copyright information

© Akadémiai Kiadó 1981

Authors and Affiliations

  • Paul Erdős
    • 1
  • Siemion Fajtlowicz
    • 2
  1. 1.Mathematical Institute of the Hungarian Academy of SciencesBudapestHungary
  2. 2.Department of MathematicsUniversity of HoustonHoustonU.S.A.

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