Number Versus Size

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Restricted size Ramsey number for P 3 versus cycles

Let F , G and H be simple graphs. We say F → (G,H) if for every 2-coloring of the edges of F there exists a monochromatic G orH in F . The Ramsey number r(G,H) is defined as r(G,H) = min{|V (F )| : F → (G,H)}, while the restricted size Ramsey number r(G,H) is defined as r(G,H) = min{|E(F )| : F → (G,H), |V (F )| = r(G,H)}. In this paper we determine previously unknown restricted size Ramsey num...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1988

ISSN: 0002-9939

DOI: 10.2307/2047260