function winopen (link) {msg=open("","NewWindow","toolbar=no,location=no,directories=no,status=no,menubar=no,scrollbars=yes,resizable=no,copyhistory=yes,width=450,height=500"); msg.location = link;} function winclose() {if (msg.closed==false) msg.close();}

Publication list


    1994-96

  1. Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate, Comm. Algebra 22 (1994), 2807-2816.
  2. Isomorphisms and classification of Cayley graphs of small valencies on finite abelian groups, Australas. J. Combin. 12 (1995), 3-14.
  3. The finite groups with the 2-DCI property Comm. Algebra 24 (1996), 1749-1757.
  4. The finite simple groups with at most two fusion classes of every order Comm. Algebra 24 (1996), 3681-3704. (with C.E. Praeger).

    5. 1997

  5. The primitive permutation groups of certain degrees J. Pure Appl. Algebra 115 (1997), 275-287.
  6. Isomorphisms of finite Cayley graphs, Bull. Austral. Math. Soc. 56 (1997), 169-172.
  7. The cyclic groups with the Cayley isomorphism property European J. Combin. 18 (1997), 655-665.
  8. On finite groups with the Cayley invariant property Bull. Austral. Math. Soc. 56 (1997), 253-261.
  9. On finite groups in which any two elements of the same order are fused or inverse-fused Comm. Algebra 25 (1997), 3081-3118. (with C.E. Praeger).
  10. On self-complementary vertex-transitive graphs Comm. Algebra 25 (1997), 3903-3908.

    11. 1998

  11. Isomorphisms of Cayley digraphs of abelian groups Bull. Austral. Math. Soc. 57 (1998), 181-188.
  12. On orbital regular graphs and Frobenius graphs Discrete Math. 182 (1998), 85-99. (with X.G. Fang and C.E. Praeger).
  13. The solution of a question of Godsil regarding cubic Cayley graphs J. Combin. Theory Ser. B 72 (1998), 140-142.
  14. On isomorphisms of connected Cayley graphs Discrete Math. 178 (1998), 109-122.
  15. Finite groups with the Cayley isomorphism property J. Graph Theory 27 (1998), 21-31. (with C.E. Praeger and M.Y. Xu).
  16. Isomorphisms of connected Cayley digraphs Graphs and Combin. 14 (1998), 37-44.
  17. The Cayley graphs of order a prime-square which are Cayley invariant, Australas. J. Combin. 17 (1998), 169-174. (with Z.Y. Gu).
  18. A nonabelian CI-group, Australas. J. Combin. 17 (1998), 229-233. (with Z.Y. Gu).
  19. On isomorphisms of connected Cayley graphs II J. Combin. Theory Ser.B 74 (1998), 28-34.
  20. A family of quasiprimitive 2-arc transitive graphs which have non-quasiprimitive full automorphism groups European J. Combin. 19 (1998), 499-502.
  21. On isomorphisms of connected Cayley graphs III Bull. Austral. Math. Soc. 58 (1998), 137-145.
  22. On finite graphs that are self-complementary and vertex-transitive, Australas. J. Combin. 18 (1998), 147-155.
  23. On isomorphisms of finite Cayley digraphs of bounded valency J. Combin. Theory Ser.B 73 (1998), 164-183. (with C.E. Praeger and M.Y. Xu).
  24. On Cayley graphs of abelian groups J. Algebraic Combin. 8 (1998), 205-215.
  25. On isomorphisms of finite Cayley graphs, European J. Combin. 19 (1998), 911-919. (with M. Conder).

    26. 1999

  26. Finite groups acting 2-transitively on their Sylow subgroups, Acta Math. Sinica, 41 (1998), 931-942; (English Series) 15 (1999), 131-144. (with J. Wang).
  27. Abelian groups with the Cayley isomorphism property, Ars Combin. 51 (1999), 77-88.
  28. On the isomorphism problem of finite Cayley graphs of bounded valency, European J. Combin. 20 (1999), 279-292. (with C.E. Praeger) .
  29. Finite CI-groups are solvable, Bull. London Math. Soc. 31 (1999), 419-423.
  30. On isomorphisms of finite Cayley digraphs of bounded valency II, J. Combin. Theory Ser.A 87 (1999), 333-346.
  31. On Finite groups with the Cayley isomorphism property II, J. Combin. Theory Ser.A 88 (1999), 19-35.
  32. A complete classification of finite homogeneous groups, Bull. Austral. Math. Soc. 60 (1999), 331-334.

    33. 2000

  33. On the Weiss conjecture for finite locally-primitive graphs, Proc. Edinburgh Math. Soc. 43 (2000), 129-138. (with M. Conder and C.E. Praeger).
  34. A class of symmetric graphs with 2-arc transitive quotients, Math. Proc. Cambridge Phil. Soc.129 (2000), 19-34. (with C.E. Praeger and S.M. Zhou).
  35. The graphical regular representations of metacyclic p-groups, European J. Combin. 21 (2000), 917-925. (with S.H. Sim).

    36. 2001

  36. On half-transitive metacirculant graphs of prime-power order, J. Combin. Theory Ser. B 81 (2001), 45-57. (with S.H. Sim).
  37. On finite s-arc transitive graphs of odd order, J. Combin. Theory Ser. B. 81 (2001), 307-317.
  38. Finite s-arc transitive graphs of prime-power order, Bull. London Math. Soc. 33 (2001), 129-137.
  39. The finite vertex-primitive and vertex-biprimitive s-transitive graphs with s >3, Trans. Amer. Math. Soc. 353 (2001), 3511-3529.
  40. Isomorphisms for minimal Cayley graphs, Graphs and Combin. 17 (2001), 307-314 (with S.M. Zhou).
  41. Automorphisms of metacyclic Cayley graphs of prime-power order, J. Aust. Math. Soc. 71 (2001), 223-233. (with H.S. Sim).
  42. Constructions of self-complementary circulants with no multiplicative isomorphisms, European J. Combin. 22 (2001), 1093-1100. (with R. Jajcay).
  43. Classifying arc-transitive circulants of square-free order, J. Algebraic Combin. 14 (2001), 145-151. (with D. Marusic and J. Morris).
  44. Self-complementary vertex-transitive graphs need not be Cayley graphs, Bull. London Math. Soc. 33 (2001), no. 6, 653--661. (with C.E. Praeger).

    45. 2002

  45. On cubic normal Cayley graphs of finite simple groups, Discrete Math. 244 (2002), 67-75. (with X.G. Fang, J. Wang and M.Y. Xu).
  46. Cayley Graphs, Kluwer Encyclopedia of Mathematics (Supplement III), 2002, (Managing Editor: M. Hazewinkel, Kluwer Academic Publishers), 96-97.
  47. Finite locally-quasiprimitive graphs, Discrete Math. 246 (2002), 197-218. (with C.E. Praeger, A. Venkatesh and S.M. Zhou).
  48. On Isomorphisms of finite Cayley graphs -- a survey, Discrete Math. 256 (2002), 301-334
  49. Constructing homogeneous factorisations of complete graphs and digraphs, Graphs and Combinatorics18 (2002), 757-761. (with C.E. Praeger) .

    50. 2003

  50. On partitioning the orbitals of a transitive permutation group, Trans. Amer. Math. Soc. 355 (2003), 637-653. (with C.E. Praeger).
  51. The primitive permutation groups of square-free degree, Bull. London Math. Soc. 35 (2003), 635-644. (with A. Seress).
  52. The finite primitive permutation groups containing an abelian regular subgroup, Proc. London Math. Soc. 87 (2003), 725-748.

    53. 2004

  53. Analysing finite locally s-arc transitive graphs, Trans. Amer. Math. Soc. 356 (2004), 291-317. (with M. Giudici and C. E. Praeger).
  54. Finite primitive permutation groups with a small suborbit and their orbital graphs, J. Algebra 279 (2004), 749-770. (with Z. P. Lu and D. Marusic).
  55. On finite edge-transitive Cayley graphs of valency 4, European J. Combin. 25 (2004), 1107-1116. (with X.G. Fang and M.Y. Xu).
  56. On orbital partitions and exceptionality of primitive permutation groups, Trans. Amer. Math. Soc. 356 (2004), 4857-4872 (with R. Guralnick, C.E. Praeger and J. Saxl).
  57. The locally 2-arc-transitive graphs admitting a Ree simple group, J. Algebra 282 (2004), 638-666. (with X. G. Fang and C. E. Praeger).

    58. 2005

  58. Finite s-arc transitive Cayley graphs and flag-transitive projective planes, Proc. Amer. Math. Soc. 133 (2005), 31-41.
  59. Regular maps whose groups do not act faithfully on vertices, edges or faces, European J. Combin. 26 (2005), 521-541. (with Jozef Siran)
  60. On finite vertex-transitive graphs with square-free number of vertices, Designs, Codes, and Cryptography 34 (2005), 265-281. (with A. Seress).
  61. Some locally 3-arc transitive graphs constructed from triality, J. Algebra 285 (2005), 11-28. (with M. Giudici and C. E. Praeger).
  62. Finite permutation groups with a cyclic regular subgroup and arc-transitive circulants, J. Algebraic Combin. 21 (2005), No. 2, 131-136.
  63. Relative difference sets fixed by inversion and Cayley graphs, J. Combin. Theory Ser. A 111 (2005), 165-173. (with Y.Q. Chen).

    64. 2006

  64. Locally 2-arc transitive graphs, homogeneous factorisations and partial linear spaces, J. Combin. Designs 14 (2006), 139-148. (with M. Giudici and C. E. Praeger).
  65. Homogeneous factorisations of graphs and digraphs, European J. Combin. 27/1 (2006), 11-37. (with M. Giudici, P. Potocnik and C. E. Praeger)
  66. Tetravalent edge-transitive Cayley graphs with odd number of vertices, J. Combin. Theory Ser. B 96 (2006), 164-181. (with Z. P. Lu and Hua Zhang).
  67. Limits of vertex-transitive graphs, Contemp. Math. 402 (2006), 159-169 (with M. Giudici, C. E. Praeger, A. Seress and V. Trofimov),
  68. On minimal subdegrees of finite primitive permutation groups, in: Finite Geometries, Groups and Computation, pp. 75-94 (2006). (with M. Giudici, C. E. Praeger, A. Seress and V. Trofimov),
  69. Constructions of quosiprimitive two-arc transitive graphs of product action type. in: Finite Geometries, Groups and Computation, pp. 115-124 (2006). (with A. Seress).
  70. Finite edge-transitive Cayley graphs and rotary Cayley maps, Trans. Amer. Math. Soc. 358 (2006), 4605-4635.
  71. Locally s-arc transitive graphs with two different quasiprimitive actions, J. Algebra 299 (2006), 863-890. (with M. Giudici and C. E. Praeger).
  72. On finite locally s-arc transitive graphs with a star normal quotient, J. Group Theory 9 (2006), 641-658. (with M. Giudici and C. E. Praeger).

    73. 2007

  73. Symmetrical path-cycle covers of a graph and polygonal graphs, J. Combin. Theory Ser. A 114 (2007), 35-51 (with Akos Seress).
  74. On limit graphs of finite vertex-primitive graphs, J. Combin. Theory Ser. A 114 (2007), 110-134. (with M. Giudici, C. E. Praeger, A. Seress, and V. Trofimov).
  75. A new family of locally 5-arc transitive graphs, European J. Combin. 28 (2007), 533-548. (with M. Giudici and C. E. Praeger).
  76. Mobius regular maps, J. Combin. Theory Ser. B 97 (2007), 57-73. (with Jozef Siran)
  77. Homogeneous factorisations of complete multipartite graphs. Discrete Math. 307 (2007), 415-431. (with M. Giudici, P. Potocnik and C. E. Praeger)
  78. Finite vertex primitive 2-arc regular graphs, J. Algebraic Combin. 25 (2007), 125-140. (with X. G. Fang and J. Wang).
  79. On transitive 1-factorizations of arc-transitive graphs, J. Combin. Theory Ser. A 114 (2007), 692-703. (with X. G. Fang and J. Wang).
  80. Further restrictions on finite CI-groups, J. Algebraic Combin. 26 (2007), 161-181. (with Z. P. Lu and P. Palfy).
  81. Finite 2-arc-transitive Cayley graphs of abelian groups. European J. Combin. 29 (2007), 148-158. (with Jiangmin Pan).

    82. 2008

  82. Semiregular automorphisms of cubic vertex transitive graphs. Proc. Amer. Math. Soc. 136 (2008), 1905-1910.
  83. On finite edge-transitive graphs and rotary maps. J. Combin. Theory Ser. B 98 (2008) 1063-1075.
  84. Homogeneous factorisations of graph products. Discrete Math. 308 (2008) 3652-3667. (with M. Giudici, P. Potocnik and C. E. Praeger)
  85. On automorphism groups of quasiprimitive 2-arc transitive graphs. J. Algebraic Combin. 28 (2008) 261-270.
  86. Primitive decompositions of Johnson graphs, (with A. Devillers, M. Giudici and C.E. Praeger) J. Combin. Theory Ser. A 115 (2008) 925-966.
  87. Symmetrical covers, decompositions and factorisations of graphs, in Applications to Group Theory and Combinatorics. Eds: Jack Koolen, Jin Ho Kwak and Mingyao Xu. A. A. Balkema Publishers (Taylor & Francis, 2008 pp27-42. (with M. Giudici and C. E. Praeger)

    2009

  88. Homogeneous factorizations of complete graphs with edge-transitive factors, J. Algebraic Combin. 29 (2009) 107-132. (with T. K. Lim and C. E. Praeger).
  89. Vertex transitive embeddings of complete graphs. J. Combin. Theory Ser. B 99 (2009) 447-454.
  90. Locally primitive graphs of prime-power order, J. Austral. Math. Soc. 86 (2009) 111-122. (with Li Ma and Jiangmin Pan)
  91. Common circulant cyclic homogeneous factorisations of complete graphs, Discrete Math. 309 (2009), 3006-3012. (with C. E. Praeger and L. Stringer).
  92. Enumerating local permutation polynomials over residue class rings, Taiwanese J. Math. 13 (2009), 1371-1377. (with Jiangmin Pan).

    2010

  93. Imprimitive symmetric graphs with cyclic blocks, European J. Combin. 31 (2010), 262-367. (with C. E. Praeger and S. M. Zhou).
  94. Some graphs related to the small Mathieu groups, European J. Combin. 31 (2010), 336-348. (with A. Devillers, M. Giudici and C.E. Praeger)
  95. Finite edge primitive graphs, J. Combin. Theory Ser. B 100 (2010), 275-298. (with M. Giudici).
  96. The vertex primitive and vertex bi-primitive s-arc regular graphs, J. Combin. Theory Ser. B 100 (2010), 359-366. (with Liang Niu, A. Seress and R. Solomon)

    97. 2011

  97. The finite groups of cube-free order J. Algebra. 334 (2011), 101-108. (with Shou Hong Qiao).
  98. Finite locally primitive abelian Cayley graphs, Sci. China Math. 54(4) (2011),845-854. (with Jiangmin Pan and Bengong Lou)
  99. On imprimitive rank 3 permutation groups, J. London Math. Soc. 84(3) (2011), 649-669. (with A. Devillers, M. Giudici, G. Pearce, and C.E. Praeger)
  100. On closures of semilinear and affine permutation groups, Elec. J. Combin. 18 (Nov, 2011, RP 225, 32pp. (with J. Xu, C. E. Praeger and M. Giudici)
  101. On locally primitive graphs, and bi-direct products of graphs, J. Aust. Math. Soc. 91 (2011), 231-242. (with L. Ma)
  102. Finite primitive permutation groups with soluble stabilisers and edge-primitive 4-arc transitive graphs Proc. London Math. Soc. (3) 103 (2011), 441-472 (with Hua Zhang).

    103. 2012

  103. Finite permutation groups with a transitive cyclic subgroup, J. Algebra 349 (2012),117-127. (with C. E. Praeger).
  104. Basic and degenerate pregeometries, European J. Combin. 33 (2012),1178-1189. (with Michael Giudici, Geoffrey Pearce and Cheryl E. Praeger)
  105. Classifying a family of edge-transitive metacirculant graphs, J. Algebraic Combin. 35 (2012), 497-513. (with S. J. Song and D. J. Wang)
  106. An infinite family of biquasiprimitive 2-arc-transitive cubic graphs J. Algebraic Combin. J. Algebraic Combin. 35 (2012), 173-192. (with A. Devillers, M. Giudici and C.E. Praeger)
  107. A classification of edge-transitive tetravalent Cayley graphs of square-free order, Disc. Math. 312 (2012), 195-1967. (with Zhe Liu and Z. P. Lu)
  108. Locally s-distance transitive graphs, J. Graph Theory 69 (2012), 176-197. (with A. Devillers, M. Giudici and C.E. Praeger)

    109. To appear

  109. Finite locally-quasiprimitive graphs Algebra Colloquium (with Shujiao Song and Dianjun Wang)
  110. Transitive permutation groups with a regular abelian Hall subgroup, Comm. Algebra (with T. Dobson, Pablo Spiga)
  111. The finite primitive and bi-primitive 2-path-transitive graphs, J. Algebraic Combin. (with Hua Zhang)
  112. On finite 2-path-transitive graphs, J. Graph Theory. (with Hua Zhang)
  113. Line graphs and 2-geodesic transitivity ARS Math. Contemp. (with A. Devillers, Wei Jin and C.E. Praeger)

    114. Submitted

  114. A class of edge-transitive metacirculans, (with J. M. Pan, S. J. Song and D. J. Wang)
  115. Locally 2-arc-transitive complete bipartite graphs, (with W. W. Fan, D. Lemans and J. M. Pan)
  116. Finite quasiprimitive permutation groups which contains a transitive metacyclic subgroup, (with J. M. Pan)
  117. Finite vertex-quasiprimitive edge-transitive metacirculants, (with Z. P Lu and J. M. Pan)
  118. Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants, (with S. J. Song and D. J. Wang)
  119. On edge-transitive Frobenius metacirculants, (with S. J. Song and D. J. Wang)
  120. On edge-transitive graphs of square-free order, (with Z. P. Lu and G. X. Wang)
  121. Symmetric cubic graphs with sovable automorphism groups, (with Y. Q. Feng and J. X. Zhou)
  122. Finite vertex-biprimitive edge-transitive tetravelnt graphs, (with Hua Zhang)
  123. Finite groups of 4th-power free order (with Shou Hong Qiao).
  124. Finite locally-primitive arc-transitive graphs (with Ben Gong Lou)
  125. On distance, geodesic and arc transitivity of graphs (with A. Devillers, Wei Jin and C.E. Praeger)
  126. On isomorphisms of vertex-transitive graphs, (with Jing Chen and Weijun Liu)
  127. A characteriaztion of metacirculants, (with S. J. Song and D. J. Wang)
  128. Self-complementary circulants of prime-power order, (with Jing Xu and Shaohui Sun)
  129. Vertex-transitive cubic graphs of square-free order, (with Zaiping Lu and Gaixia Wang)
  130. The tetravalent edge-primitive graphs, (with Y.Q. Feng and S.T. Guo)
  131. Locally-primitive complete bipartite graphs, (with W. W. Fan and J. M. Pan)
  132. The finite edge-transitive perntavalent graphs, (with Y.Q. Feng and S.T. Guo)

    133. In preparation

  133. Finite groups of which cyclic subgroups of the same order are all conjugate (with Jiping Zhang).
  134. On the amalgams of locally s-arc transitive graphs.
  135. Vertex primitive graphs that have a rotary embedding. (with C. E. Praeger).
  136. Finite quasiprimitive s-arc transitive graphs of product action type, (with Akos Seress).
  137. Edge-transitive Cayley graphs with square-free number of vertices, (with Z. P. Lu).
  138. On finite regular maps. (with J. Siran).
  139. Finite s-arc-transitive graphs.
  140. Bi-primitive locally 4-arc transitive graphs.
  141. On finite subnormal Cayley graphs.
  142. Primitive permutation groups of degree being a product of two prime-powers, (with Xian Hua Li).
  • On amalgams of locally s-arc transitive graphs. in Amalgams for Graphs and Geometries (2004), pp. 1311--1342, Obwalfach Mini-Workshop Organized by Alexander A. Ivanov and Sergey V. Shpectorov.
    • Last update: April/2011