On an algorithm for solving NP-complete problem, if there is no or odd number of solutions

В.А. Любецкий, А.В. Селиверстов


If there is no or odd number of solutions, we propose a solution to the weighted set partition problem in terms of both the complex number field theory and non-determined polynomial algorithm. The problem is reduced to a recursive finding of singular points on an explicitly determined lower rank cubic hypersurface.

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