Mathematical results on harmonic polynomials

Document Type : Original paper


1 Department of Mathematics and Statistics, Florida International University

2 Departamento de Matemáticas, Universidad Nacional de Nordeste

3 Departamento de Matemáticas. Universidad Carlos III de Madrd.

4 Departamento de Matemáticas. Universidad Autónma de Guerrero.

5 Universidad Autónoma de Guerrero


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.


Main Subjects

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