The Laplacian spectrum of a graph
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 0-1 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...
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| Veröffentlicht in: | SIAM journal on matrix analysis and applications 1990-04, Vol.11 (2), p.218-238 |
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| container_title | SIAM journal on matrix analysis and applications |
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| creator | GRONE, R MERRIS, R SUNDER, V. S |
| description | 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 0-1 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 $G$. |
| doi_str_mv | 10.1137/0611016 |
| format | Article |
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S</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Laplacian spectrum of a graph</atitle><jtitle>SIAM journal on matrix analysis and applications</jtitle><date>1990-04-01</date><risdate>1990</risdate><volume>11</volume><issue>2</issue><spage>218</spage><epage>238</epage><pages>218-238</pages><issn>0895-4798</issn><eissn>1095-7162</eissn><coden>SJMAEL</coden><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 0-1 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 $G$.</abstract><cop>Philadelphia, PA</cop><pub>Society for Industrial and Applied Mathematics</pub><doi>10.1137/0611016</doi><tpages>21</tpages></addata></record> |
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| ispartof | SIAM journal on matrix analysis and applications, 1990-04, Vol.11 (2), p.218-238 |
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| subjects | Combinatorics Combinatorics. Ordered structures Eigenvalues Eigenvectors Exact sciences and technology Graph theory Graphs Mathematics Sciences and techniques of general use |
| title | The Laplacian spectrum of a graph |
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