A conjecture on the prevalence of cubic bridge graphs
Filar, Jerzy A
Nguyen, Giang T
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Almost all d-regular graphs are Hamiltonian, for d ≥ 3. In this note we conjecture that in a similar, yet somewhat different, sense almost all cubic non-Hamiltonian graphs are bridge graphs, and present supporting empirical results for this prevalence of the latter among all connected cubic non-Hamiltonian graphs.