Characterization on graphs which achieve a Das’ upper bound for Laplacian spectral radius
✍ Scribed by Aimei Yu; Mei Lu; Feng Tian
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 198 KB
- Volume
- 400
- Category
- Article
- ISSN
- 0024-3795
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We consider weighted graphs, where the edge weights are positive definite matrices. In this paper, we obtain two upper bounds on the spectral radius of the Laplacian matrix of weighted graphs and characterize graphs for which the bounds are attained. Moreover, we show that some known upper bounds on
We consider weighted graphs, where the edge weights are positive definite matrices. The Laplacian of the graph is defined in the usual way. We obtain an upper bound on the largest eigenvalue of the Laplacian and characterize graphs for which the bound is attained. The classical bound of Anderson and