Infinite Classes of Dihedral Snarks |
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Authors: | Carla Fiori Beatrice Ruini |
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Institution: | (1) Dipartimento di Matematica Pura ed Applicata, Università di Modena e Reggio Emilia, 41100 Modena, Italy |
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Abstract: | 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.
Research performed within the activity of INdAM–GNSAGA with the financial support of the Italian Ministry MIUR, project “Strutture
Geometriche, Combinatoria e loro Applicazioni”. |
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Keywords: | " target="_blank"> Automorphism groups snarks |
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