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A sharp upper bound on the incidence energy of graphs in terms of connectivity

โœ Scribed by Oscar Rojo; Eber Lenes


Book ID
118138660
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
252 KB
Volume
438
Category
Article
ISSN
0024-3795

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A sharp upper bound on the largest Lapla
โœ Kinkar Ch. Das; R.B. Bapat ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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