Grone, Robert ; Merris, Russell ; Sunder, V. S. (1990) The Laplacian spectrum of a graph SIAM Journal on Matrix Analysis and Applications, 11 (2). pp. 218-238. ISSN 0895-4798
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Official URL: http://epubs.siam.org/sima/resource/1/sjmael/v11/i...
Related URL: http://dx.doi.org/10.1137/0611016
Abstract
Let G be a graph. The Laplacian matrix L(G)=D(G) -A)(G) is the difference of the diagonal matrix of vertex degrees and the O-1 adjacency matrix. Various aspects of the spectrum of L (G) are investigated. Particular attention is given to multiplicities of integer eigenvalues and to the effect on the spectrum of various modifications of G.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Society for Industrial and Applied Mathematics. |
| Keywords: | Tree(s); Eigenvalue(s); Spectra; Graph(s) |
| ID Code: | 53535 |
| Deposited On: | 09 Aug 2011 11:48 |
| Last Modified: | 11 Aug 2011 11:22 |
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