On transitive one-factorizations of arc-transitive graphs

• Autores: X.G. Fang, C.H. Li, J. Wang
• Localización: Journal of Combinatorial Theory, Series A, ISSN 1096-0899, Vol. 114, Nº. 4, 2007, págs. 692-703
• Idioma: inglés
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• Resumen

  • It is shown that transitive 1-factorizations of arc-transitive graphs exist if and only if certain factorizations of their automorphism groups exist. This relation provides a method for constructing and characterizing transitive 1-factorizations for certain classes of arc-transitive graphs. Then a characterization is given of 2-arc-transitive graphs which have transitive 1-factorizations. In this characterization, some 2-arc transitive graphs and their transitive 1-factorizations are constructed.