Relating graph energy with vertex-degree-based energies
Introduction/purpose: The paper presents numerous vertex-degree-based graph invariants considered in the literature. A matrix can be associated to each of these invariants. By means of these matrices, the respective vertex-degree-based graph energies are defined as the sum of the absolute values...
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| Format: | article |
| Langue: | EN |
| Publié: |
University of Defence in Belgrade
2020
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| Sujets: | |
| Accès en ligne: | https://doaj.org/article/919dbb00b0cf48bfa0562b8c52ec87db |
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| Résumé: | Introduction/purpose: The paper presents numerous vertex-degree-based
graph invariants considered in the literature. A matrix can be associated to
each of these invariants. By means of these matrices, the respective
vertex-degree-based graph energies are defined as the sum of the
absolute values of the eigenvalues.
Results: The article determines the conditions under which the considered
graph energies are greater or smaller than the ordinary graph energy
(based on the adjacency matrix).
Conclusion: The results of the paper contribute to the theory of graph
energies as well as to the theory of vertex-degree-based graph invariants. |
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