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The new upper bounds on the spectral radius of weighted graphs

✍ Scribed by Sezer Sorgun; Şerife Büyükköse


Book ID
113439955
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
195 KB
Volume
218
Category
Article
ISSN
0096-3003

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✍ Kinkar Ch. Das 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 214 KB

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