Publications of (and about) Paul Erdös
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.''
Classif.: * 05C55 Generalized Ramsey theory
Keywords: sparse graph; complete graph; generalized Ramsey number
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