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On a continuous approach for the maximum weighted clique problem

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Abstract

This paper is focused on computational study of continuous approach for the maximum weighted clique problem. The problem is formulated as a continuous optimization problem with a nonconvex quadratic constraint given by the difference of two convex functions (d.c. function). The proposed approach consists of two main ingredients: a local search algorithm, which provides us with crucial points; and a procedure which is based on global optimality condition and which allows us to escape from such points. The efficiency of the proposed algorithm is illustrated by computational results.

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Correspondence to Tatyana V. Gruzdeva.

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Gruzdeva, T.V. On a continuous approach for the maximum weighted clique problem. J Glob Optim 56, 971–981 (2013). https://doi.org/10.1007/s10898-012-9885-4

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