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On the Eigenvalues of a Graph

โœ Scribed by H.B. Walikar; H.S. Ramane


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
145 KB
Volume
15
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES


On the Laplacian eigenvalues of a graph
โœ Jiong-Sheng Li; Xiao-Dong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 148 KB

In the note, we present an upper bound for the spectral radius of Laplacian matrix of a graph in terms of a "2-degree" of a vertex.

On the second eigenvalue of a graph
โœ A. Nilli ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

Nilli, A., On the second eigenvalue of a graph, Discrete Mathematics 91 (1991) 207-210. It is shown that the second largest eigenvalue of the adjacency matrix of any G containing two edges the distance between which is at least 2k + 2 is at least (2G -l)/(k + 1).

On the distribution of eigenvalues of a
โœ Xuerong Yong ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ร€1. 3. k 3 q n ร€1 implies that k j q n ร€1Y j 3Y 4Y F F F Y n ร€ 1.