# The maximum ratio clique problem

@article{Sethuraman2015TheMR, title={The maximum ratio clique problem}, author={S. Sethuraman and S. Butenko}, journal={Computational Management Science}, year={2015}, volume={12}, pages={197-218} }

This paper introduces a fractional version of the classical maximum weight clique problem, the maximum ratio clique problem, which is to find a maximal clique that has the largest ratio of benefit and cost weights associated with the clique’s vertices. NP-completeness of the decision version of the problem is established, and three solution methods are proposed. The results of numerical experiments with standard graph instances, as well as with real-life instances arising in finance and energy… Expand

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