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Article overview
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Novel Bounds for the Normalized Laplacian Estrada and Normalized Energy Index of Graphs | | Gian Paolo Clemente
; Alessandra Cornaro
; | | Date: |
3 Aug 2015 | | Abstract: | For a simple and connected graph, several lower and upper bounds of graph
invariants expressed in terms of the eigenvalues of the normalized Laplacian
matrix have been proposed in literature. In this paper, through a unified
approach based on majorization techniques, we provide some novel inequalities
depending on additional information on the localization of the eigenvalues of
the normalized Laplacian matrix. Some numerical examples show how sharper
results can be obtained with respect to those existing in literature. | | Source: | arXiv, 1508.0385 | | Services: | Forum | Review | PDF | Favorites | |
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