Some infinite classes of asymmetric nearly Hamiltonian snarks
Keywords:
Full automorphism group, Snark, Nearly hamiltonian snarkAbstract
We determine the full automorphism group of each member of three infinite families of connected cubic graphs which are snarks. A graph is said to be nearly hamiltonian if it has a cycle which contains all vertices but one. We prove, in particular, that for every possible order n ≥ 28 there exists a nearly hamiltonian snark of order n with trivial automorphism group.Downloads
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