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Regular graphs with small second largest eigenvalue - MaRDI portal

Regular graphs with small second largest eigenvalue (Q2929891)

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Regular graphs with small second largest eigenvalue
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    Regular graphs with small second largest eigenvalue (English)
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    14 November 2014
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    graph spectrum
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    bipartite graphs
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    triangle-free graphs
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    The authors consider regular graphs with small second largest eigenvalue \(\lambda_2\). In particular, all triangle-free regular graphs with \(\lambda_2\leq\sqrt{2}\), all bipartite regular graphs with \(\lambda_2\leq\sqrt{3}\), and all bipartite regular graphs of degree \(3\) with \(\lambda_2\leq 2\) are determined.
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