On robust clusters of minimum cardinality in networks
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abstract
2015, Springer Science+Business Media New York. This paper studies two clique relaxation models, k-blocks and k-robust 2-clubs, used to describe structurally cohesive clusters with good robustness and reachability properties. The minimization version of the two problems are shown to be hard to approximate for k 3 and k 4 , respectively. Integer programming formulations are proposed and a polyhedral study is presented. The results of sample numerical experiments on several graph instances are also reported.