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arXiv · 1709.02486

A General Regularized Continuous Formulation for the Maximum Clique Problem

James T. Hungerford·Francesco Rinaldi
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Abstract

In this paper, we develop a general regularization-based continuous optimization framework for the maximum clique problem. In particular, we consider a broad class of regularization terms that can be included in the classic Motzkin-Strauss formulation and we develop conditions that guarantee the equivalence between the continuous regularized problem and the original one in both a global and a local sense. We further analyze, from a computational point of view, two different regularizers that satisfy the general conditions.

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James T. Hungerford, Francesco Rinaldi. 2017-09-07. A General Regularized Continuous Formulation for the Maximum Clique Problem. https://arxiv.org/abs/1709.02486

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