Strongly regular Cayley graphs over primary abelian groups of rank 2

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dc.creatorLeifman, Yefim I.
dc.creatorMuzychuk, Mikhail E.
dc.date2006-03-21
dc.date2006-03-24
dc.date.accessioned2026-07-07T07:07:08Z
dc.date.available2026-07-07T07:07:08Z
dc.descriptionStrongly regular Cayley graphs with Paley parameters over abelian groups of rank 2 were studied in [J.A Davis, Partial difference sets in p-groups, Arch.Math.63 (1994) 103-110; K.H Leung, S.L. Ma, Partial difference sets with Paley parameters, Bull. London Math Soc. 27 (1995) 553-564]. It was shown that such graphs exist iff the corresponding group is isomorphic to ${\mathbb Z}_{p^n} \oplus {\mathbb Z}_{p^n}$, 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.
dc.identifierhttps://arxiv.org/abs/math/0603518
dc.identifierhttp://arxiv.org/abs/math/0603518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110282
dc.subjectCombinatorics
dc.titleStrongly regular Cayley graphs over primary abelian groups of rank 2
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