Elsevier, Linear Algebra and its Applications, 8-9(430), p. 2200-2211, 2009
DOI: 10.1016/j.laa.2008.11.026
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We determine all nested split graphs (i.e. graphs having no induced subgraphs equal to 2K2,P4 or C4) having the second largest eigenvalue less than 1 and give some data and observations regarding obtained results.