Linking rings structures and semisymmetric graphs: Cayley constructions

Primož Potočnik, Steve Wilson

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


An LR structure is a tetravalent vertex-transitive graph together with a special type of a decomposition of its edge-set into cycles. LR structures were introduced in Potočnik and Wilson (2014) as a tool to study tetravalent semisymmetric graphs of girth 4. In this paper, we consider algebraic methods of constructing LR structures, using number theory, Cayley graphs, affine groups, abelian groups and fields.

Original languageEnglish (US)
Pages (from-to)84-98
Number of pages15
JournalEuropean Journal of Combinatorics
StatePublished - Jan 1 2016

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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