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Some bounds on the largest eigenvalues of graphs

✍ Scribed by Shuchao Li; Yi Tian


Book ID
113449264
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
255 KB
Volume
25
Category
Article
ISSN
0893-9659

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A sharp upper bound on the largest Lapla
✍ Kinkar Ch. Das; R.B. Bapat πŸ“‚ Article πŸ“… 2005 πŸ› Elsevier Science 🌐 English βš– 217 KB

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