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Creators/Authors contains: "Mildebrath, David"

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  1. ; ; (, Networks)
    Abstract We present an integer programming model to compute the strong rainbow connection number,src(G), of any simple graphG. We introduce several enhancements to the proposed model, including a fast heuristic, and a variable elimination scheme. Moreover, we present a novel lower bound forsrc(G) which may be of independent research interest. We solve the integer program both directly and using an alternative method based on iterative lower bound improvement, the latter of which we show to be highly effective in practice. To our knowledge, these are the first computational methods for the strong rainbow connection problem. We demonstrate the efficacy of our methods by computing the strong rainbow connection numbers of graphs containing up to 379 vertices. 
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