Some remarks on Jaeger's dual-hamiltonian conjecture
Bill Jackson, Carol Whitehead · Annales de l’institut Fourier · 1999
François Jaeger conjectured in 1974 that every cyclically 4-connected cubic graph G is dual hamiltonian, that is to say the vertices of G can be partitioned into two subsets such that each subset induces a tree in G . We shall make several remarks on this conjecture.