Strongly regular Cayley graphs over primary abelian groups of rank 2

نویسندگان

  • Yefim I. Leifman
  • Mikhail E. Muzychuk
چکیده

Strongly regular Cayley graphs with Paley parameters over abelian groups of rank 2 were studied in [5] and [12]. It was shown that such graphs exist iff the corresponding group is isomorphic to Zpn ⊕Zpn , where p is an odd prime. In this paper we classify all strongly regular Cayley graphs over this group using Schur rings method. As a consequence we obtain a complete classification of strongly regular Cayley graphs with Paley parameters over abelian groups of rank 2.

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تاریخ انتشار 2008