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Neumaier graphs with few eigenvalues

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 نشر من قبل Jozefien D'haeseleer
 تاريخ النشر 2020
  مجال البحث
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A Neumaier graph is a non-complete edge-regular graph containing a regular clique. In this paper we give some sufficient and necessary conditions for a Neumaier graph to be strongly regular. Further we show that there does not exist Neumaier graphs with exactly four distinct eigenvalues. We also determine the Neumaier graphs with smallest eigenvalue -2.

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