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Upper Bounds for the Automorphic Chromatic Index of a Graph
Authors:Giuseppe Mazzuoccolo  Beatrice Ruini
Institution:1. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, via Campi 213/B, 41125, Modena, Italy
Abstract:The automorphic H-chromatic index of a graph Γ is the minimum integer m for which Γ has a proper edge-coloring with m colors preserved by a given subgroup H of the full automorphism group of Γ. We determine upper bounds for this index in terms of the chromatic index of Γ for some abelian 2-groups H.
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