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On the calculation of the acyclic polynomial

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Abstract

Graphical methods are developed for recursive evaluation of the acyclic polynomial. Analytical formulas of the acyclic polynomials for several specific series of graphs are given. Mathematical properties of the derivatives of the acyclic polynomial are given.

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Authors and Affiliations

  1. Department of Chemistry, Faculty of Sciences, University of Kragujevac, 34000, Kragujevac, Yugoslavia

    Ivan Gutman

  2. Department of Chemistry, Faculty of Science, Ochanomizu University, Bunkyo-Ku, 112, Tokyo, Japan

    Haruo Hosoya

Authors
  1. Ivan Gutman
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  2. Haruo Hosoya
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Gutman, I., Hosoya, H. On the calculation of the acyclic polynomial. Theoret. Chim. Acta 48, 279–286 (1978). https://doi.org/10.1007/BF02394586

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  • DOI: https://doi.org/10.1007/BF02394586

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