Mathematical results on harmonic polynomials Articles uri icon

publication date

  • June 2024

issue

  • 2

volume

  • 9

International Standard Serial Number (ISSN)

  • 2538-2128

abstract

  • The harmonic polynomial was defined in order to understand better the harmonic topological index. Here, we obtain several properties of this polynomial, and we prove that several properties of a graph can be deduced from its harmonic polynomial. Also, we prove that graphs with the same harmonic polynomial share many properties although they are not necessarily isomorphic.

keywords

  • degree-based topological indices; harmonic index; harmonic polynomial