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On nested split graphs whose second largest eigenvalue is less than 1. (English) Zbl 1194.05098
Summary: We determine all nested split graphs (i.e. graphs having no induced subgraphs equal to \(2K_{2},P_{4}\) or \(C_{4}\)) having the second largest eigenvalue less than 1 and give some data and observations regarding obtained results.

MSC:
05C50 Graphs and linear algebra (matrices, eigenvalues, etc.)
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