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Results in Mathematics

, Volume 41, Issue 1–2, pp 140–149 | Cite as

Bounds on Ramsey Numbers of Certain Complete Bipartite Graphs

  • Roland Lortz
  • Ingrid Mengersen
Article

Abstract

Bounds on the Ramsey number r(Kl,m,Kl,n), where we may assume l ≤ m ≤ n, are determined for 3 ≤ l ≤ 5 and m ≈ n. Particularly, for m = n the general upper bound on r(Kl,n, Kl,n) due to Chung and Graham is improved for those l. Moreover, the behavior of r(K3,m, K3,n) is studied for m fixed and n sufficiently large.

Mathematical Subject Classification

05C55 

En]Keywords

Ramsey numbers complete bipartite graphs 

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References

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Copyright information

© Birkhäuser Verlag, Basel 2002

Authors and Affiliations

  1. 1.Technische Universität Braunschweig Abteilung Diskrete MathematikGermany
  2. 2.Volkswagen AG Informationssysteme FahrzeugplanungWolfsburgGermany
  3. 3.BraunschweigGermany

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