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Sharp upper bound for the first eigenvalue

โœ Scribed by Binoy, Raveendran; Santhanam, G.


Book ID
121637965
Publisher
Springer
Year
2013
Tongue
English
Weight
203 KB
Volume
169
Category
Article
ISSN
0046-5755

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Two sharp upper bounds for the Laplacian
โœ Xiao-Dong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

In this paper, we first obtain a sharp upper bound for the eigenvalues of the adjacency matrix of the line graph of a graph. Then this result is used to present a sharp upper bound for the Laplacian eigenvalues. Another sharp upper bound is presented also. Moreover, we determine all extreme graphs w