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Estimating vertex-degree-based energies
ISSN: 2217 - 4753
Publisher: author
Estimating vertex-degree-based energies
Indexed in
Technology and Engineering
ARTICLE-FACTOR
1.3
Article Basics Score: 2
Article Transparency Score: 2
Article Operation Score: 3
Article Articles Score: 3
Article Accessibility Score: 3
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International Category Code (ICC):
ICC-1802
Publisher: University Of Defence In Belgrade
International Journal Address (IAA):
IAA.ZONE/2217117274753
eISSN
:
2217 - 4753
VALID
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Abstract
Introduction/purpose: In the current literature, several dozens of vertex-degree-based (VDB) graph invariants are being studied. To each such invariant, a matrix can be associated. The VDB energy is the energy (= sum of the absolute values of the eigenvalues) of the respective VDB matrix. The paper examines some general properties of the VDB energy of bipartite graphs. Results: Estimates (lower and upper bounds) are established for the VDB energy of bipartite graphs in which there are no cycles of size divisible by 4, in terms of ordinary graph energy. Conclusion: The results of the paper contribute to the spectral theory of VDB matrices, especially to the general theory of VDB energy.
