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Rank one perturbation and its application to the laplacian spectrum of a graph |
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| Authors: | Wasin So |
| Institution: | a Department of Mathematical and Information Sciences, Sam Houston State University, Huntsville |
| Abstract: | Characterization of rank one perturbations of symmetric matrices which change only one eigenvalue are given. Then the result is applied to study how the Laplacian spectrum of a graph changes when adding an edge. |
| Keywords: | Perturbation Laplacian integral |
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