Flower snarks and Goldberg snarks are two infinite families of cyclically 5-edge-connected cubic graphs with girth at least five and chromatic index four. For any odd integer k, k > 3, there is a Flower snark, say J k , of order 4k and a Goldberg snark, say B k , of order 8k. We determine the automorphism groups of J k and B k for every k and prove that they are isomorphic to the dihedral group D 4k of order 4k.
Mathematics Subject Classification (2000). Primary 05C25; Secondary 20B25.
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