Ramsey numbers for certain k-graphs

Author:

Burr Stefan A.,Duke Richard A.

Abstract

AbstractWe are interested here in the Ramsey number r(T, C), where C is a complete k-uniform hypergraph and T is a “tree-like” k-graph. Upper and lower bounds are found for these numbers which lead, in some cases, to the exact value for r(T, C) and to a generalization of a theorem of Chváta1 on Ramsey numbers for graphs. In other cases we show that a determination of the exact values of r(T, C) would be equivalent to obtaining a complete solution to existence question for a certain class of Steiner systems.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference15 articles.

1. On Ramsey numbers of forests versus nearly complete graphs;Chartrand;Notices Amer. Math. Soc.,1979

2. Admissible parameters for Steiner systems S(t, k, v) with a table for all (v – t)< 498;Kramer;Utilitas Math.,1975

3. On property B and on Steiner systems

4. Tree-complete graph ramsey numbers

5. Ramsey theorems for multiple copies of graphs

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