1. Mathematical results on harmonic polynomials.
- Author
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Carballosa, Walter, Nápoles, Juan E., Rodríguez, José M., Rosario, Omar, and Sigarreta, José M.
- Subjects
- *
POLYNOMIALS , *TOPOLOGY , *ISOMORPHISM (Mathematics) , *GRAPH theory , *REAL numbers - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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