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Hamiltonian cycles in subdivided doubles
Published Web Location
https://doi.org/10.26493/1855-3974.3557.f2dNo data is associated with this publication.
Abstract
The subdivided double construction on 4-regular graphs was used by Potočnik and Wilson to explore semi-symmetric (edge-transitive but not vertex-transitive) graphs, and can be used to construct every semi-symmetric 4-regular graph that contains a pair of twin vertices. We show that (regardless of symmetry) subdivided doubles have another curious property: they have exponentially many Hamiltonian cycles each of which is complementary to another Hamiltonian cycle.
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