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On the bounds for the largest Laplacian eigenvalues of weighted graphs

✍ Scribed by Sezer Sorgun; Şerife Büyükköse


Book ID
113567733
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
219 KB
Volume
9
Category
Article
ISSN
1572-5286

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A sharp upper bound on the largest Lapla
✍ Kinkar Ch. Das; R.B. Bapat 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 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