Linking rings structures and semisymmetric graphs: Cayley constructions

Primož Potočnik; Steve Wilson

doi:10.1016/j.ejc.2015.05.004

Linking rings structures and semisymmetric graphs: Cayley constructions

Primož Potočnik
, Steve Wilson

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	84-98
Number of pages	15
Journal	European Journal of Combinatorics
Volume	51
DOIs	https://doi.org/10.1016/j.ejc.2015.05.004
State	Published - Jan 1 2016

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1016/j.ejc.2015.05.004

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AB - 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.

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Linking rings structures and semisymmetric graphs: Cayley constructions

Abstract

ASJC Scopus subject areas

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