Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  513.05040
Autor:  Burr, Stefan A.; Erdös, Paul
Title:  Generalizations of a Ramsey-theoretic result of Chvatal. (In English)
Source:  J. Graph Theory 7, 39-51 (1983).
Review:  Author's abstract: ``Chvátal has shown that if T is a tree on n points then r(Kk,T) = (k-1)(n-1)+1, where r is the (generalized) Ramsey number. It is shown that the same result holds when T is replaced by many other graphs. Such a T is called k-good. The results proved all support the conjecture that any large graph that is sufficiently sparse, in the appropriate sense, is k-good.''
Reviewer:  S.Stahl
Classif.:  * 05C55 Generalized Ramsey theory
Keywords:  sparse graph; complete graph; generalized Ramsey number

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