Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424035 | European Journal of Combinatorics | 2016 | 15 Pages |
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 PotoÄnik 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Primož PotoÄnik, Steve Wilson,