Numerical experiments with LP formulations of the maximum clique problem

Dóra Kardos (), Patrik Patassy (), Sándor Szabó () and Bogdán Zaválnij ()
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Dóra Kardos: University of Szeged
Patrik Patassy: University of Szeged
Sándor Szabó: University of Pecs
Bogdán Zaválnij: Alfred Renyi Institute of Mathematics

Central European Journal of Operations Research, 2022, vol. 30, issue 4, No 9, 1353-1367

Abstract: Abstract The maximum clique problems calls for determining the size of the largest clique in a given graph. This graph problem affords a number of zero-one linear programming formulations. In this case study we deal with some of these formulations. We consider ways for tightening the formulations. We carry out numerical experiments to see the improvements the tightened formulations provide.

Keywords: Combinatorial optimization; Maximum clique problem; Zero-one linear programming; Greedy coloring; Practical solutions of NP complete problems; LP relaxation bounds (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10100-021-00776-z

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