On transitive one-factorizations of arc-transitive graphs

نویسندگان

  • Xin Gui Fang
  • Cai Heng Li
  • Jie Wang
چکیده

An equivalent relation between transitive 1-factorizations of arctransitive graphs and factorizations of their automorphism groups is established. 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 1factorizations. In this characterisation, some interesting 2-arc transitive graphs and their transitive 1-factorisations are constructed.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. A

دوره 114  شماره 

صفحات  -

تاریخ انتشار 2007