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Fast Search for the Janet Divisor

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Programming and Computer Software Aims and scope Submit manuscript

Abstract

An algorithm for fast search for the involutive monomial Janet divisor is suggested. Such search is an important part of the construction of monomial and polynomial Janet bases. For a data structure for a finite set of monomials, the binary tree is taken, which reflects properties of the Janet division.

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Authors and Affiliations

  1. Laboratory of Computing Engineering and Automation, Joint Institute for Nuclear Research, Dubna, Moscow oblast, 141980, Russia

    V. P. Gerdt & D. A. Yanovich

  2. Department of Mechanics and Mathematics, Saratov State University, Saratov, 410071, Russia

    Yu. A. Blinkov

Authors
  1. V. P. Gerdt
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  2. D. A. Yanovich
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  3. Yu. A. Blinkov
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Gerdt, V.P., Yanovich, D.A. & Blinkov, Y.A. Fast Search for the Janet Divisor. Programming and Computer Software 27, 22–24 (2001). https://doi.org/10.1023/A:1007130618376

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