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- W2951479504 abstract "It has been shown that there is a Hamilton cycle in every connected Cayley graph on each group G whose commutator subgroup is cyclic of prime-power order. This paper considers connected, vertex-transitive graphs X of order at least 3 where the automorphism group of X contains a transitive subgroup G whose commutator subgroup is cyclic of prime-power order. We show that of these graphs, only the Petersen graph is not hamiltonian." @default.
- W2951479504 created "2019-06-27" @default.
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- W2951479504 date "1997-02-04" @default.
- W2951479504 modified "2023-09-27" @default.
- W2951479504 title "Automorphism groups with cyclic commutator subgroup and Hamilton cycles" @default.
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