The rank of a graph after vertex addition (Q1369345)
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scientific article; zbMATH DE number 1076369
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The rank of a graph after vertex addition |
scientific article; zbMATH DE number 1076369 |
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The rank of a graph after vertex addition (English)
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20 October 1997
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The rank of the adjacency matrix of a graph, and the way it changes when a new vertex is added to the graph, are investigated for several classes of graphs. The question is related to determining the multiplicity of a zero eigenvalue of the adjacency matrix, which has applications in physics, chemistry and other fields.
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graph spectra
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rank
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adjacency matrix
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eigenvalue
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