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Ramsey Numbers for Trees of Small Maximum Degree

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For a tree T we write and , , for the sizes of the vertex classes of T as a bipartite graph. It is shown that for T with maximum degree , the obvious lower bound for the Ramsey number R(T,T) of is asymptotically the correct value for R(T,T).

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Authors and Affiliations

  1. Department of Combinatorics and Optimization, University of Waterloo; Waterloo, Ont., Canada N2L 3G1; E-mail: pehaxell@math.uwaterloo.ca, , , , , , CA

    P. E. Haxell

  2. Department of Discrete Mathematics, Adam Mickiewicz University; ul. Matejki 48/49 60-769 Poznań, Poland; E-mail: tomasz@amu.edu.pl, , , , , , PL

    T. Łuczak

  3. Department of Combinatorics and Optimization, University of Waterloo; Waterloo, Ont., Canada N2L 3G1; E-mail: pwtingle@undergrad.math.uwaterloo.ca, , , , , , CA

    P. W. Tingley

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  1. P. E. Haxell
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  2. T. Łuczak
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  3. P. W. Tingley
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Received December 15, 1999

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ID=" " The first and third authors were partially supported by NSERC. The second author was partially supported by KBN grant 2 P03A 021 17.

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Haxell, P., Łuczak, T. & Tingley, P. Ramsey Numbers for Trees of Small Maximum Degree. Combinatorica 22, 287–320 (2002). https://doi.org/10.1007/s004930200014

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  • DOI: https://doi.org/10.1007/s004930200014

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