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On the distribution of the maximum eigenvalue of graphs

✍ Scribed by James B. Shearer


Book ID
107826290
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
235 KB
Volume
114-115
Category
Article
ISSN
0024-3795

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On the distribution of eigenvalues of a
✍ Xuerong Yong πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 86 KB

For a simple, undirected graph q n , let k i q n be the ith largest eigenvalue of q n . This paper presents mainly the following: 1. For n P 4, if q n is incomplete, then 2. Seven sucient and necessary conditions such that k 2 q n Γ€1. 3. k 3 q n Γ€1 implies that k j q n Γ€1Y j 3Y 4Y F F F Y n Γ€ 1.