TY - JOUR
T1 - Linking rings structures and semisymmetric graphs
T2 - Cayley constructions
AU - Potočnik, Primož
AU - Wilson, Steve
N1 - Publisher Copyright:
© 2015 Elsevier Ltd.
PY - 2016/1/1
Y1 - 2016/1/1
N2 - 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.
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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U2 - 10.1016/j.ejc.2015.05.004
DO - 10.1016/j.ejc.2015.05.004
M3 - Article
AN - SCOPUS:84930221618
SN - 0195-6698
VL - 51
SP - 84
EP - 98
JO - European Journal of Combinatorics
JF - European Journal of Combinatorics
ER -