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- Title
Harmonic Index and Harmonic Polynomial on Graph Operations.
- Authors
Hernández-Gómez, Juan C.; Méndez-Bermúdez, J. A.; Rodríguez, José M.; Sigarreta, José M.
- Abstract
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here, using this polynomial, we obtain several properties of the harmonic index of many classical symmetric operations of graphs: Cartesian product, corona product, join, Cartesian sum and lexicographic product. Some upper and lower bounds for the harmonic indices of these operations of graphs, in terms of related indices, are derived from known bounds on the integral of a product on nonnegative convex functions. Besides, we provide an algorithm that computes the harmonic polynomial with complexity O (n 2) .
- Subjects
GRAPH algorithms; COMPUTER algorithms; LEXICOGRAPHICAL errors; CHEMICALS; POLYNOMIALS
- Publication
Symmetry (20738994), 2018, Vol 10, Issue 10, p456
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym10100456