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Bounds of eigenvalues of a graph

โœ Scribed by Yuan Hong


Book ID
112665928
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1988
Tongue
English
Weight
255 KB
Volume
4
Category
Article
ISSN
0168-9673

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A new upper bound for eigenvalues of the
โœ Li Jiong-Sheng; Zhang Xiao-Dong ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 270 KB

We first give a result on eigenvalues of the line graph of a graph. We then use the result to present a new upper bound for eigenvalues of the Laplacian matrix of a graph. Moreover we determine all graphs the largest eigenvalue of whose Laplacian matrix reaches the upper bound.