Computing the Automorphic Chromatic Index of Certain Snarks |
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Authors: | Carla Fiori Giuseppe Mazzuoccolo Beatrice Ruini |
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Institution: | 1. Dipartimento di Matematica Pura ed Applicata, Università degli studi di Modena e Reggio Emilia, Via Campi 213/B, 41125, Modena, Italy 2. Dipartimento di Scienze e Metodi dell’Ingegneria, Università degli studi di Modena e Reggio Emilia, Via Amendola 2, Pad. Morselli, 42100, Reggio Emilia, Italy
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Abstract: | The automorphic G-chromatic index of a graph Γ is the minimum integer m for which Γ has a proper edge-coloring with m colors which is preserved by the full automorphism group G of Γ. We determine the automorphic G-chromatic index of each member of four infinite classes of snarks: type I Blanu?a snarks, type II Blanu?a snarks, Flower snarks and Goldberg snarks. |
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