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Detecting robust cliques in graphs subject to uncertain edge failures

Oleksandra Yezerska (), Sergiy Butenko () and Vladimir L. Boginski ()
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Oleksandra Yezerska: Texas A&M University
Sergiy Butenko: Texas A&M University
Vladimir L. Boginski: University of Florida

Annals of Operations Research, 2018, vol. 262, issue 1, No 7, 109-132

Abstract: Abstract This paper develops and compares several heuristic approaches, as well as an exact combinatorial branch-and-bound algorithm, for detecting maximum robust cliques in graphs subjected to multiple uncertain edge failures. The desired robustness properties are enforced using conditional value-at-risk measure. The proposed heuristics are adaptations of the well-known tabu search and GRASP methods, whereas the exact approach is an extension of Östergård’s algorithm for the maximum clique problem. The results of computational experiments on DIMACS graph instances are reported.

Keywords: Maximum clique; Robust clique; Conditional value-at-risk; Heuristic; Tabu search; GRASP (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s10479-016-2161-0

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