Largest Eigenvalue of the Laplacian Matrix: Its Eigenspace and Transitive Orientations
We study the eigenspace with largest eigenvalue of the Laplacian matrix of a simple graph. We find a surprising connection of this space with the theory of modular decomposition of Gallai, whereby eigenvectors can be used to discover modules. In the case of comparability graphs, eigenvectors are use...
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| Format: | Article |
| Language: | en_US |
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Society for Industrial and Applied Mathematics
2017
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| Online Access: | http://hdl.handle.net/1721.1/110183 |