Geodesic
Linking rings structures and semisymmetric graphs: Combinatorial constructions
Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 1-17.

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This paper considers combinatorial methods of constructing LR structures: two isolated constructions, RC and SoP, two closely related constructions, CS(Γ, B, 0) and CS(Γ, B, 1) using cycle decompositions of tetravalent graphs, a generalization of those, CS(Γ, B, k) for k > 2, and finally a construction LDCS relating to cycle decompositions of graphs of higher even valence. This last construction is used to classify all LR structures of types {3, *} or {4, *}.
DOI : 10.26493/1855-3974.1007.3ec
Keywords: Graph, automorphism group, symmetry, locally arc-transitive graph, semisymmetric graph, cycle structure, linking ring structure 
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Primož Potočnik; Stephen E. Wilson. Linking rings structures and semisymmetric graphs: Combinatorial constructions. Ars Mathematica Contemporanea, Tome 15 (2018) no. 1, pp. 1-17. doi : 10.26493/1855-3974.1007.3ec. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.1007.3ec/

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