Generalizations of a Ramsey‐theoretic result of chvátal

Type: Article

Publication Date: 1983-03-01

Citations: 74

DOI: https://doi.org/10.1002/jgt.3190070106

Abstract

Abstract Chvátal has shown that if T is a tree on n points then r ( K k , 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.

Locations

  • Journal of Graph Theory - View
  • CiteSeer X (The Pennsylvania State University) - View - PDF

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