Combinatorica

, Volume 3, Issue 2, pp 167–176 | Cite as

On unavoidable graphs

  • F. R. K. Chung
  • P. Erdős
Article

Abstract

How many edges can be in a graph which is forced to be contained in every graph onn vertices ande edges? In this paper we obtain bounds which are in many cases asymptotically best possible.

AMS subject classification (1980)

05 C 35 

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References

  1. [1]
    L. Babai, F. R. K. Chung, P. Erdős, R. L. Graham andJ. Spencer, On graphs which contain all sparse graphs,Annals of Discrete Math.,12 (1982), 21–26.MATHGoogle Scholar
  2. [2]
    F. R. K. Chung andR. L. Graham, On graphs which contain all small trees,J. Comb. Th. (B),24 (1978), 14–23.MATHCrossRefMathSciNetGoogle Scholar
  3. [3]
    F. R. K. Chung, R. L. Graham andN. Pippenger, On graphs which contain all small trees II,Colloquia Math. Soc. János Bolyai, Keszthely, Hungary (1976), 213–223.Google Scholar
  4. [4]
    F. R. K. Chung andR. L. Graham, On universal graphs for spanning trees.Proc. of London Math. Soc. 27 (1983), 203–212.MATHCrossRefMathSciNetGoogle Scholar
  5. [5]
    F. R. K. Chung andR. L. Graham, On universal graphs,Annals of the New York Academy of Sciences,319 (1970), 136–140.CrossRefMathSciNetGoogle Scholar
  6. [6]
    F. R. K. Chung, R. L. Graham andJ. Shearer, Universal caterpillars,J. Comb. Th. (B),31 (1981), 348–355.MATHCrossRefGoogle Scholar
  7. [7]
    F. R. K. Chung, R. L. Graham andD. Coppersmith, On trees which contain all small trees,The Theory and Applications of Graphs (ed. G. Chartrand) John Wiley and Sons, 1981, 265–272.Google Scholar
  8. [8]
    F. R. K. Chung, R. L. Graham andP. Erdős, Minimal decomposition of graphs into mutually isomorphic subgraphs, Combinatorica,1 (1981), 13–24.MATHCrossRefMathSciNetGoogle Scholar
  9. [9]
    P. Erdős andJ. Spencer,Probabilistic Methods in Combinatorics, Akadémiai Kiadó, Budapest, 1974.Google Scholar
  10. [10]
    P. Turán, Egy gráfelméleti szélsőértékfeladatról.Mat.-Fiz. Lapok 48 (1941), 436–452.MATHMathSciNetGoogle Scholar
  11. [11]
    P. Turán, On the theory of graphs,Coll. Math. 3 (1954), 19–30.MATHGoogle Scholar

Copyright information

© Akadémiai Kiadó 1983

Authors and Affiliations

  • F. R. K. Chung
    • 1
  • P. Erdős
    • 2
  1. 1.Bell LaboratoriesMurray HillU.S.A.
  2. 2.Mathematical Institute of the Hungarian Academy of SciencesHungary

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