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Combinatorica

, Volume 5, Issue 4, pp 311–318 | Cite as

Multipartite graph—Sparse graph Ramsey numbers

  • P. Erdős
  • R. J. Faudree
  • C. C. Rousseau
  • R. H. Schelp
Article

Abstract

The Ramsey numberr(F, G) is determined in the case whereF is an arbitrary fixed graph andG is a sufficiently large sparse connected graph with a restriction on the maximum degree of its vertices. An asymptotically correct upper bound is obtained forr(F, T) whereT is a sufficiently large, but otherwise arbitrary, tree.

AMS subject classification (1980)

05 C 55 

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Copyright information

© Akadémiai Kiadó 1985

Authors and Affiliations

  • P. Erdős
    • 1
  • R. J. Faudree
    • 2
  • C. C. Rousseau
    • 2
  • R. H. Schelp
    • 2
  1. 1.Hungarian Academy of SciencesBudapestHungary
  2. 2.Memphis State University Mathematical SciencesMemphisUSA

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