Selected Publications

The Isomorphism Problem of Cayley Graphs

  • On isomorphisms of connected Cayley graphs II J. Combin. Theory Ser.B 74 (1998), 28-34.
  • Finite CI-groups are solvable, Bull. London Math. Soc. 31(1999),  419-423.
  • On Finite groups with the Cayley isomorphism property II J. Combin. Theory Ser.A 88 (1999), 19-35.
  • On Isomorphisms of finite Cayley graphs -- a survey ( Download.ps). Discrete Math. 256 (2002), 301-334.

    • s-Arc Transitive Graphs

  • On finite s-arc transitive graphs of odd order ( Abstract). J. Combin. Theory Ser. B 81 (2001), 307-317.
  • The finite vertex-primitive and vertex-biprimitive s-transitive graphs with s ( Abstract), (Download.ps) Trans. Amer. Math. Soc. 353 (2001), 3511-3529.
  • Constructions of quosiprimitive two-arc transitive graphs of product action type. in: Finite Geometries, Groups and Computation. (with Akos Seress) Eds. A. Hulpke, R. Liebler, T. Penttila, A. Seress. DeGruyter.

    • Locally s-arc Transitive Graphs

  • Analysing finite locally s-arc transitive graphs, Trans. Amer. Math. Soc. 356 (2004), 291-317. (with M. Giudici and C. E. Praeger).
  • Some locally 3-arc transitive graphs constructed from triality, J. Algebra 285 (2005), 11-28. (with M. Giudici and C. E. Praeger).
  • A new family of locally 5-arc transitive graphs, European J. Combin. (with M. Giudici and C. E. Praeger).

    • Edge-Transitive Cayley Graphs

  • Finite s-arc transitive Cayley graphs and flag-transitive projective planes. Proc. Amer. Math. Soc. 133 (2004), 31-41.
  • Finite Edge-transitive Cayley graphs and rotary Cayley maps, Trans. Amer. Math. Soc. (to appear).

    Permutation Groups

  • The finite primitive permutation groups containing an abelian regular subgroup. Proc. London Math. Soc. 87 (2003), 725-748.
  • The primitive permutation groups of square-free degree, Bull. London Math. Soc. 35 (2003), 635-644. (with A. Seress).

    • Homogeneous Factorisations of Symmetrical Graphs

  • Self-complementaryvertex-transitive graphs need not be Cayley graphs (Abstract),  Bull. London Math. Soc. 33 (2001), 653-661 (with C. E. Praeger).
  • On partitioning the orbitals of a transitive permutation group. Trans. Amer. Math. Soc. 355 (2003), 637-653 (with C. E. Praeger).
  • On orbital partitions and exceptionality of primitive permutation groups, Trans. Amer. Math. Soc. 356 (2004), 4857-4872 (R. Guralnick, C.H Li, C.E. Praeger, J. Saxl)

    • Relative Difference Sets

  • Relative difference sets fixed by inversion and Cayley graphs, J. Combin. Theory (A) 111 (2005), 165-173. (with Y.Q. Chen) . ( Download.ps).

    Regular Maps

  • Regular maps whose groups do not act faithfully on vertices, edges or faces, European J. Combin. 26 (2005), 521-541. (with Jozef Siran)
  • Mobius regular maps, J. Combin. Theory (B) (with Jozef Siran)
    • Last update: July, 2005