• The Smallest Randić Index for Trees

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      https://www.ias.ac.in/article/fulltext/pmsc/123/02/0167-0175

    • Keywords

       

      Extremal graph; tree; the general Randic index.

    • Abstract

       

      The general Randic index Rα(G) is the sum of the weight d(u)d(v)α over all edges uv of a graph G, where α is a real number and d(u) is the degree of the vertex u of G. In this paper, for any real number α=0, the first three minimum general Randic indices among trees are determined, and the corresponding extremal trees are characterized.

    • Author Affiliations

       

      Li Bingjun1 2 Liu Weijun1

      1. Department of Mathematics, Hunan Institute of Humanities, Science and Technology, Loudi City, Hunan 417000, China
      2. College of Mathematics, Central South University, Changsha 410000, China
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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