Homogeneous factorisations of Johnson graphs

نویسندگان

  • Maria Cristeta Cuaresma
  • Michael Giudici
  • Cheryl E. Praeger
چکیده

For a graph Γ, subgroups M < G 6 Aut(Γ), and an edge partition E of Γ, the pair (Γ, E) is a (G, M)-homogeneous factorisation if M is vertex-transitive on Γ and fixes setwise each part of E , while G permutes the parts of E transitively. A classification is given of all homogeneous factorisations of finite Johnson graphs. There are three infinite families and nine sporadic examples.

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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 46  شماره 

صفحات  -

تاریخ انتشار 2008