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Graphs with a small number of nonnegative eigenvalues - MaRDI portal

Graphs with a small number of nonnegative eigenvalues (Q1300000)

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scientific article; zbMATH DE number 1332854
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Graphs with a small number of nonnegative eigenvalues
scientific article; zbMATH DE number 1332854

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    Graphs with a small number of nonnegative eigenvalues (English)
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    7 September 1999
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    Using a mixture of computer search and theoretical consideration, the author determines all graphs with at most two nonnegative eigenvalues. Having noted that \(2K_1\) is the only minimal graph with two nonnegative eigenvalues, the author goes on to determine all minimal graphs with three nonnegative eigenvalues. There are exactly 285 such graphs.
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    nonnegative eigenvalues
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