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On the calculation of the acyclic polynomial
Authors:Ivan Gutman  Haruo Hosoya
Institution:(1) Department of Chemistry, Faculty of Sciences, University of Kragujevac, 34000 Kragujevac, Yugoslavia;(2) Department of Chemistry, Faculty of Science, Ochanomizu University, Bunkyo-Ku, 112 Tokyo, Japan
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.
Keywords:Acyclic polynomial  Graph theory  Topological index
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