Upper Bounds for the Automorphic Chromatic Index of a Graph |
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Authors: | Giuseppe Mazzuoccolo Beatrice Ruini |
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Institution: | 1. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Università di Modena e Reggio Emilia, via Campi 213/B, 41125, Modena, Italy
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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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