Spectrum and energy of the Sombor matrix
Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix associated with the Sombor index. The paper is concerned with the spectral properties of the Sombor matrix. Results: Equalities and inequalities for the eigenvalues of the Sombor matrix are obtained, from which two fundament...
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
University of Defence in Belgrade
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/9eba7955635c432d83883a17e261eb94 |
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| Sumario: | Introduction/purpose: The Sombor matrix is a vertex-degree-based matrix
associated with the Sombor index. The paper is concerned with the
spectral properties of the Sombor matrix.
Results: Equalities and inequalities for the eigenvalues of the Sombor
matrix are obtained, from which two fundamental bounds for the Sombor
energy (= energy of the Sombor matrix) are established. These bounds
depend on the Sombor index and on the „forgotten“ topological index.
Conclusion: The results of the paper contribute to the spectral theory of
the Sombor matrix, as well as to the general spectral theory of matrices
associated with vertex-degree-based graph invariants. |
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