Date of Original Version




Rights Management

This is the author’s version of a work that was accepted for publication. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version is available at

Abstract or Description

We call a coloring of the edge set of a graph G a b-bounded coloring if no color is used more than b times. We say that a subset of the edges of G is rainbow if each edge is of a different color. A graph has property A(b,H) if every b-bounded coloring of its edges has a rainbow copy of H . We estimate the threshold for the random graph Gn,p to have property A(b,H).



Included in

Mathematics Commons



Published In

Journal of Combinatorial Theory, Series B, 100, 3, 299-312.