A novel algorithm for solution of a combinatory set partitioning problem

  • V. A. Lyubetsky
  • A. V. Seliverstov
Theory and Methods of Information Processing


A novel efficient algorithm for solution of the problem of equal partitioning of a set with predefined weights of elements is proposed. The algorithm is based on calculation of a linear group preserving an invariant: the set of zeros of a cubic form. Algorithms for solution of related problems, including the problem of the search for the second solution if the first solution is known, are discussed.


partitioning algorithm cubic form computational complexity 


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© Pleiades Publishing, Inc. 2016

Authors and Affiliations

  1. 1.Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute)MoscowRussia

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