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A new matrix characterization of fredholm eigenvalues of quasicircles

✍ Scribed by Reiner Kühnau

Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
506 KB
Volume
99
Category
Article
ISSN
0021-7670

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A new upper bound for eigenvalues of the
A new upper bound for eigenvalues of the laplacian matrix of a graph
✍ Li Jiong-Sheng; Zhang Xiao-Dong 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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.