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Creators/Authors contains: "Finlay, John"

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  1. Abstract In this note we examine the following random graph model: for an arbitrary graph , with quadratic many edges, construct a graph by randomly adding edges to and randomly coloring the edges of with colors. We show that for a large enough constant and , every pair of vertices in are joined by a rainbow path, that is, israinbow connected, with high probability. This confirms a conjecture of Anastos and Frieze, who proved the statement for and resolved the case when and is a function of . 
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