Publications

  • Journal Papers
  1. Li, Cai Heng; Xia, Binzhou, Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups, Mem. Amer. Math. Soc. (to appear).
  2. Robert Jajcay, Cai-Heng Li, Jozef Širán, Yan Wang, Regular and orientably-regularmaps with quasiprimitive automorphism groups on vertices, Geometriae Dedicata, 203 (2019), 389–418.
  3. Giudici, Michael;  Li, Caiheng; Xu, Yian, Constructing 2-arc-transitive covers of hypercubes. Graphs Combin.   35 (2019),  973–987.
  4. Giudici, Michael; Li, Cai Heng; Xia, Binzhou, Vertex-primitive s-arc-transitive digraphs of linear groups. J. Pure Appl. Algebra 223 (2019), no. 12, 5455–5483.
  5. Li, Cai Heng; Xia, Binzhou, Factorizations of almost simple groups with a factor having many nonsolvable composition factors. J. Algebra 528 (2019), 439–473. 
  6. Chen, Jiyong; Jin, Wei; Li, Cai Heng, On 2-distance-transitive circulants. J. Algebraic Combin49 (2019), no. 2, 179–191.
  7. Fan, Wenwen; Li, Cai Heng; Wang, Naer, Edge-transitive uniface embeddings of bipartite multi-graphs. J. Algebraic Combin. 49 (2019), no. 2, 125–134.
  8. Li, Cai Heng; Wang, Lei, Finite REA-groups are solvable. J. Algebra 522 (2019), 195–217.
  9. Giudici, Michael; Glasby, S. P.; Li, Cai Heng; Verret, Gabriel, Arc-transitive digraphs with quasiprimitive local actions. J. Pure Appl. Algebra 223 (2019), no. 3, 1217–1226.
  10. Pan, Jiangmin; Li, Cai Heng, Finite permutation groups containing a transitive abelian subgroup. Comm. Algebra 46 (2018), no. 4, 1576–1585.
  11. Fawcett, Joanna B.; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E.; Royle, Gordon; Verret, Gabriel, Primitive permutation groups with a suborbit of length 5 and vertex-primitive graphs of valency 5. J. Combin. Theory Ser. A 157 (2018), 247–266.
  12. Fan, Wenwen; Li, Cai Heng; Qu, Hai Peng, A classification of orientably edge-transitive circular embeddings of Kpe,pf.  Ann. Comb. 22 (2018), no. 1, 135–146.
  13. Fan, Wenwen; Li, Cai Heng, The complete bipartite graphs with a unique edge-transitive embedding.  J. Graph Theory 87 (2018), no. 4, 581–586.
  14. Bamberg, John; Li, Cai Heng; Swartz, Eric, A classification of finite antiflag-transitive generalized quadrangles.   Trans. Amer. Math. Soc370 (2018), no. 3, 1551–1601.
  15. Giudici, Michael; Li, Cai Heng; Xia, Binzhou, An infinite family of vertex-primitive 2-arc-transitive digraphs.        J. Combin. Theory Ser. B 127 (2017), 1–13.
  16. Giudici, Michael; Glasby, S. P.; Li, Cai Heng; Verret, Gabriel,  The number of composition factors of order p in completely reducible groups of characteristic p.  J. Algebra 490 (2017), 241–255.
  17. Li, Cai Heng; Ling, Bo; Wu, Ci Xuan,  A new family of quasiprimitive 2-arc-transitive graphs of product action type. J. Combin. Theory Ser. A 150 (2017), 152–161.
  18. Giudici, Michael; Kovács, István; Li, Cai Heng; Verret, Gabriel,  Cubic arc-transitive k-multicirculants. J. Combin. Theory Ser. B 125 (2017), 80–94.
  19. Li, Cai Heng; Lu, Zai Ping; Wang, Gaixia,  Arc-transitive graphs of square-free order and small valency. Discrete Math. 339 (2016), no. 12, 2907–2918.
  20. Li, Cai Heng; Wang,  Lei,  Relative elementary abelian groups and a class of edge-transitive Cayley graphs. J. Aust. Math. Soc. 100 (2016), no. 2, 241–251.
  21. Li, Cai-Heng; Praeger, Cheryl E.; Schneider, Csaba, Inclusions of innately transitive groups into wreath products in product action with applications to 2-arc-transitive graphs. J. Pure Appl. Algebra 220 (2016), 2683–2700.
  22. Chen, Jing; Li, Cai Heng; Liu, Wei Jun, On isomorphisms of vertex-transitive cubic graphs. J. Aust. Math. Soc. 99 (2015), no. 3, 341–349.
  23. Li, Cai Heng; Lu, Zai Ping; Wang, Gai Xia,  On edge-transitive graphs of square-free order. Electron. J. Combin.   22 (2015), no. 3, Paper 3.25, 22 pp.
  24. Devillers, Alice; Jin, Wei; Li, Cai Heng; Praeger, Cheryl E.  Finite 2-geodesic transitive graphs of prime valency. J. Graph Theory 80 (2015), no. 1, 18–27.
  25. Li, Cai Heng; Lu, Zai Ping; Wang, Gai Xia,  The vertex-transitive and edge-transitive tetravalent graphs of square-free order. J. Algebraic Combin42 (2015), no. 1, 25–50.
  26. Guo, Song-Tao; Feng, Yan-Quan; Li, Cai Heng, Edge-primitive tetravalent graphs. J. Combin. Theory Ser. B    112 (2015), 124–137.
  27. Giudici, Michael; Li, Cai Heng; Seress, Ákos; Thomas, Anne, Characterising vertex-star transitive and edge-star transitive graphs. Israel J. Math205 (2015), no. 1, 35–72.
  28. Jin, Wei; Devillers, Alice; Li, Cai Heng; Praeger, Cheryl E. On geodesic transitive graphs. Discrete Math.   338 (2015), no. 3, 168–173.
  29. Feng, Yan-Quan; Li, Cai Heng; Zhou, Jin-Xin, Symmetric cubic graphs with solvable automorphism groups.   European J. Combin. 45 (2015), 1–11.
  30. Li, Cai Heng; Seress, Ákos; Song, Shu Jiao, s-arc-transitive graphs and normal subgroups. J. Algebra 421 (2015), 331–348.
  31. Conder, Marston D. E.; Li, Cai Heng; Potočnik, Primož, On the orders of arc-transitive graphs. J. Algebra  421 (2015), 167–186.
  32. Li, Cai Heng; Rao, Guang; Song, Shu Jiao, On finite self-complementary metacirculants. J. Algebraic Combin.  40 (2014), no. 4, 1135–1144.
  33. Song, Shujiao; Li, Caiheng; Wang, Dianjun, Finite locally-quasiprimitive graphs. Algebra Colloq21 (2014), 627–634.
  34. Li, Cai Heng; Lu, Zai Ping; Pan, Jiangmin, Finite vertex-primitive edge-transitive metacirculants. J. Algebraic Combin40 (2014), no. 3, 785–804.
  35. Li, Cai Heng; Pan, Jiangmin; Song, Shu Jiao; Wang, Dianjun, A characterization of a family of edge-transitive metacirculant graphs. J. Combin. Theory Ser. B 107 (2014), 12–25.
  36. Li, Cai Heng; Li, Xianhua, On permutation groups of degree a product of two prime-powers. Comm. Algebra  42 (2014), no. 11, 4722–4743.
  37. Devillers, Alice; Jin, Wei; Li, Cai Heng; Seress, Ákos, Local 2-geodesic transitivity of graphs. Ann. Comb.  18 (2014), no. 2, 313–325.
  38. Devillers, Alice; Jin, Wei; Li, Cai Heng; Praeger, Cheryl E. On normal 2-geodesic transitive Cayley graphs. J. Algebraic Combin. 39 (2014), no. 4, 903–918.
  39. Li, Cai Heng; Rao, Guang, Self-complementary vertex-transitive graphs of order a product of two primes. Bull. Aust. Math. Soc89 (2014), no. 2, 322–330.
  40. Fan, Wenwen; Li, Cai Heng; Pan, Jiangmin, Finite locally-primitive complete bipartite graphs. J. Group Theory  17 (2014), no. 1, 111–129.
  41. Li, Cai Heng; Sun, Shaohui; Xu, Jing, Self-complementary circulants of prime-power order. SIAM J. Discrete Math. 28 (2014), no. 1, 8–17.
  42. Song, Shu Jiao; Li, Cai Heng; Zhang, Hua, Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants. J. Algebra 399 (2014), 948–959.
  43. Li, Cai Heng; Zhang, Hua, Finite vertex-biprimitive edge-transitive tetravalent graphs. Discrete Math317 (2014), 33–43.
  44. Li, Cai Heng; Lu, Zai Ping; Wang, Gai Xia, Vertex-transitive cubic graphs of square-free order. J. Graph Theory   75 (2014), no. 1, 1–19.
  45. Devillers, Alice; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Locally s-distance transitive graphs and pairwise transitive designs. J. Combin. Theory Ser. A 120 (2013), no. 7, 1855–1870.
  46. Guo, Song-Tao; Feng, Yan-Quan; Li, C. H., The finite edge-primitive pentavalent graphs. J. Algebraic Combin.    38 (2013), no. 2, 491–497.
  47. Li, Cai Heng; Zhang, Hua, On finite 2-path-transitive graphs. J. Graph Theory 73 (2013), no. 2, 225–237.
  48. Chen, Jing; Li, Cai Heng; Seress, Ákos, A family of half-transitive graphs. Elec. J. Combin. 20 (2013), Paper 56.
  49. Li, Cai Heng; Qiao, Shouhong, Finite groups of fourth-power free order. J. Group Theory 16 (2013), 275–298.
  50. Fan, Wenwen; Leemans, Dimitri; Li, Cai Heng; Pan, Jiangmin, Locally 2-arc-transitive complete bipartite graphs. J. Combin. Theory Ser. A 120 (2013), no. 3, 683–699.
  51. Devillers, Alice; Jin, Wei; Li, Cai Heng; Praeger, Cheryl E.  Local 2-geodesic transitivity and clique graphs. J. Combin. Theory Ser. A 120 (2013), no. 2, 500–508.
  52. Song, Shu Jiao; Li, Cai Heng; Wang, Dian Jun,  A family of edge-transitive Frobenius metacirculants of small valency. European J. Combin. 34 (2013), no. 2, 512–521.
  53. Li, Cai Heng; Song, Shu Jiao; Wang, Dian Jun, A characterization of metacirculants. J. Combin. Theory Ser. A  120 (2013), no. 1, 39–48.
  54. Devillers, Alice; Jin, Wei; Li, Cai Heng; Praeger, Cheryl E. Line graphs and geodesic transitivity. Ars Math. Contemp. 6 (2013), no. 1, 13–20.
  55. Dobson, Edward; Li, Cai Heng; Spiga, Pablo Permutation groups containing a regular abelian Hall subgroup.   Comm. Algebra 40 (2012), no. 9, 3532–3539.
  56. Li, Cai Heng; Zhang, Hua Finite vertex-primitive and vertex-biprimitive 2-path-transitive graphs. J. Algebraic Combin36 (2012), no. 2, 231–246.
  57. Li, Cai Heng; Liu, Zhe; Lu, Zai Ping, The edge-transitive tetravalent Cayley graphs of square-free order. Discrete Math. 312 (2012), no. 12-13, 1952–1967.
  58. Giudici, Michael; Li, Cai Heng; Pearce, Geoffrey; Praeger, Cheryl E. Basic and degenerate pregeometries.   European J. Combin. 33 (2012), no. 6, 1178–1189.
  59. Song, Shu-Jiao; Li, Cai Heng; Wang, Dianjun, Classifying a family of edge-transitive metacirculant graphs. J. Algebraic Combin. 35 (2012), no. 3, 497–513.
  60. Devillers, Alice; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. An infinite family of biquasiprimitive 2-arc transitive cubic graphs. J. Algebraic Combin. 35 (2012), no. 2, 173–192.
  61. Devillers, Alice; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Locally s-distance transitive graphs. J. Graph Theory 69 (2012), no. 2, 176–197.
  62. Li, Cai Heng; Praeger, Cheryl E. On finite permutation groups with a transitive cyclic subgroup. J. Algebra   349 (2012), 117–127.
  63. Li, CH; Ma, Li, Locally primitive graphs and bidirect products of graphs. J. Aust. Math. Soc. 91 (2011), 231–242.
  64. Xu, Jing; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Invariant relations and Aschbacher classes of finite linear groups. Electron. J. Combin18 (2011), no. 1, Paper 225, 33 pp.
  65. Devillers, Alice; Giudici, Michael; Li, Cai Heng; Pearce, Geoffrey; Praeger, Cheryl E. On imprimitive rank 3 permutation groups. J. Lond. Math. Soc. (2) 84 (2011), no. 3, 649–669.
  66. Li, Cai Heng; Zhang, Hua, The finite primitive groups with soluble stabilizers, and the edge-primitive s-arc transitive graphs. Proc. Lond. Math. Soc. (3) 103 (2011), no. 3, 441–472.
  67. Qiao, Shouhong; Li, Cai Heng, The finite groups of cube-free order. J. Algebra 334 (2011), 101–108.
  68. Li, CaiHeng; Lou, BenGong; Pan, JiangMin, Finite locally primitive abelian Cayley graphs. Sci. China Math.  54 (2011), no. 4, 845–854.
  69. Li, Cai Heng; Niu, Liang; Seress, Ákos; Solomon, Ronald, The vertex primitive and vertex bi-primitive s-arc regular graphs. J. Combin. Theory Ser. B 100 (2010), no. 4, 359–366.
  70. Giudici, Michael; Li, Cai Heng, On finite edge-primitive and edge-quasiprimitive graphs. J. Combin. Theory Ser. B 100 (2010), no. 3, 275–298.
  71. Li, Cai Heng; Praeger, Cheryl E.; Zhou, Sanming, Imprimitive symmetric graphs with cyclic blocks. European J. Combin. 31 (2010), no. 1, 362–367.
  72. Devillers, Alice; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Some graphs related to the small Mathieu groups. European J. Combin. 31 (2010), no. 1, 336–348.
  73. Praeger, Cheryl; Li, Cai Heng; Stringer, Linda, Common circulant homogeneous factorisations of the complete digraph. Discrete Math309 (2009), no. 10, 3006–3012.
  74.  Li, Cai Heng; Pan, Jiangmin; Ma, Li, Locally primitive graphs of prime-power order. J. Aust. Math. Soc.  86 (2009), no. 1, 111–122.
  75. Li, Cai Heng, Vertex transitive embeddings of complete graphs. J. Combin. Theory Ser. B 99 (2009),  447–454.
  76. Li, Cai Heng; Lim, Tian Khoon; Praeger, Cheryl E.  Homogeneous factorisations of complete graphs with edge-transitive factors. J. Algebraic Combin29 (2009), no. 1, 107–132.
  77.  Li, Cai Heng, On finite edge transitive graphs and rotary maps. J. Combin. Theory Ser. B 98 (2008), 1063–1075.
  78. Li, Cai Heng, On automorphism groups of quasiprimitive 2-arc transitive graphs. J. Algebraic Combin. 8 (2008), no. 2, 261–270.
  79. Devillers, Alice; Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Primitive decompositions of Johnson graphs.   J. Combin. Theory Ser. A 115 (2008), no. 6, 925–966.
  80. Giudici, Michael; Li, Cai Heng; Potočnik, Primož; Praeger, Cheryl E. Homogeneous factorisations of graph products. Discrete Math308 (2008), no. 16, 3652–3667.
  81. Li, Cai Heng, Semiregular automorphisms of cubic vertex transitive graphs. Proc. Amer. Math. Soc136 (2008), no. 6, 1905–1910.
  82. Li, Cai Heng; Pan, J., Finite 2-arc-transitive abelian Cayley graphs. European J. Combin. 29 (2008), 148–158.
  83. Li, Cai Heng; Lu, Zai Ping; Pálfy, P. P. Further restrictions on the structure of finite CI-groups. J. Algebraic Combin26 (2007), no. 2, 161–181.
  84. Fang, X. G.; Li, C. H.; Wang, J. On transitive one-factorizations of arc-transitive graphs. J. Combin. Theory Ser. A   114 (2007), no. 4, 692–703.
  85. Fang, X. G.; Li, C. H.; Wang, J. Finite vertex primitive 2-arc regular graphs. J. Algebraic Combin25 (2007), no. 2, 125–140.
  86. Giudici, Michael; Li, Cai Heng; Potočnik, Primož; Praeger, Cheryl E. Homogeneous factorisations of complete multipartite graphs. Discrete Math307 (2007), no. 3-5, 415–431
  87. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. A new family of locally 5-arc transitive graphs. European J. Combin. 28 (2007), no. 2, 533–548.
  88. Li, Cai Heng; Širáň, Jozef,  Möbius regular maps. J. Combin. Theory Ser. B 97 (2007), no. 1, 57–73.
  89. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E.; Seress, Ákos; Trofimov, Vladimir I. On limit graphs of finite vertex-primitive graphs. J. Combin. Theory Ser. A 114 (2007), no. 1, 110–134.
  90.  Li, Cai Heng; Seress, Ákos, Symmetrical path-cycle covers of a graph and polygonal graphs. J. Combin. Theory Ser. A 114 (2007), no. 1, 35–51.
  91. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E.; Seress, Ákos; Trofimov, Vladimir,  Limits of vertex-transitive graphs. Ischia group theory 2004, 159–169, Contemp. Math., 402
  92. Li, Cai Heng; Seress, Ákos, Constructions of quasiprimitive two-arc transitive graphs of product action type. Finite geometries, groups, and computation, 115–123, Walter de Gruyter, Berlin, 2006.
  93. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E.; Seress, Ákos; Trofimov, Vladimir,  On minimal subdegrees of finite primitive permutation groups. Finite geometries, groups, and computation, 75–93, Walter de Gruyter, Berlin, 2006.
  94. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Characterizing finite locally s-arc transitive graphs with a star normal quotient. J. Group Theory 9 (2006), no. 5, 641–658.
  95. Li, Cai Heng, Finite edge-transitive Cayley graphs and rotary Cayley maps. Trans. Amer. Math. Soc358 (2006), no. 10, 4605–4635.
  96. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Locally s-arc transitive graphs with two different quasiprimitive actions. J. Algebra 299 (2006), no. 2, 863–890.
  97. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Locally 2-arc transitive graphs, homogeneous factorizations, and partial linear spaces. J. Combin. Des14 (2006), no. 2, 139–148.
  98. Giudici, Michael; Li, Cai Heng; Potočnik, Primož; Praeger, Cheryl E. Homogeneous factorisations of graphs and digraphs. European J. Combin27 (2006), no. 1, 11–37.
  99. Li, Cai Heng; Lu, Zai Ping; Zhang, Hua, Tetravalent edge-transitive Cayley graphs with odd number of vertices. J. Combin. Theory Ser. B 96 (2006), no. 1, 164–181.
  100. Chen, Yu Qing; Li, Cai Heng, Relative difference sets fixed by inversion and Cayley graphs. J. Combin. Theory Ser. A 111 (2005), no. 1, 165–173.
  101. Li, Cai Heng, Permutation groups with a cyclic regular subgroup and arc transitive circulants. J. Algebraic Combin21 (2005), no. 2, 131–136.
  102. Li, Cai Heng; Seress, Ákos, On vertex-transitive non-Cayley graphs of square-free order. Des. Codes Cryptogr.   34 (2005), no. 2-3, 265–281.
  103. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Some locally 3-arc transitive graphs constructed from triality.   J. Algebra 285 (2005), no. 1, 11–28.
  104. Li, Cai Heng; Širáň, Jozef, Regular maps whose groups do not act faithfully on vertices, edges, or faces.    European J. Combin. 26 (2005), no. 3-4, 521–541.
  105. Li, Cai Heng, Finite s-arc transitive Cayley graphs and flag-transitive projective planes. Proc. Amer. Math. Soc.   133 (2005), no. 1, 31–41.
  106. Fang, Xin Gui; Li, Cai Heng; Praeger, Cheryl E. The locally 2-arc transitive graphs admitting a Ree simple group.   J. Algebra 282 (2004), no. 2, 638–666.
  107. Guralnick, R. M.; Li, Cai Heng; Praeger, Cheryl E.; Saxl, J. On orbital partitions and exceptionality of primitive permutation groups. Trans. Amer. Math. Soc356 (2004), no. 12, 4857–4872.
  108. Fang, Xin Gui; Li, Cai Heng; Xu, MY, On edge-transitive Cayley graphs of valency four. European J. Combin.    25 (2004), no. 7, 1107–1116.
  109. Li, Cai Heng; Lu, Zai Ping; Marušič, Dragan, On primitive permutation groups with small suborbits and their orbital graphs. J. Algebra 279 (2004), no. 2, 749–770.
  110. Giudici, Michael; Li, Cai Heng; Praeger, Cheryl E. Analysing finite locally s-arc transitive graphs. Trans. Amer. Math. Soc356 (2004), no. 1, 291–317.
  111. Li, Cai Heng, The finite primitive permutation groups containing an abelian regular subgroup. Proc. London Math. Soc. (3) 87 (2003), no. 3, 725–747.
  112. Li, Cai Heng; Seress, Ákos, The primitive permutation groups of squarefree degree. Bull. London Math. Soc.   35 (2003), no. 5, 635–644.
  113. Li, Cai Heng; Praeger, Cheryl E. On partitioning the orbitals of a transitive permutation group. Trans. Amer. Math. Soc. 355 (2003), no. 2, 637–653.
  114. Li, Cai Heng; Praeger, Cheryl E. Constructing homogeneous factorisations of complete graphs and digraphs.    Graphs Combin. 18 (2002), no. 4, 757–761.
  115. Li, Cai Heng, On isomorphisms of finite Cayley graphs—a survey. Discrete Math256 (2002), no. 1-2, 301–334.
  116. Li, Cai Heng; Praeger, Cheryl E.; Venkatesh, Akshay; Zhou, Sanming, Finite locally-quasiprimitive graphs.   Discrete Math246 (2002), no. 1-3, 197–218.
  117. Fang, Xin Gui; Li, Cai Heng; Wang, Jie; Xu, Ming Yao, On cubic Cayley graphs of finite simple groups. Discrete Math244 (2002), no. 1-3, 67–75.
  118. Li, Caiheng; Marušič, Dragan; Morris, Joy, Classifying arc-transitive circulants of square-free order. J. Algebraic Combin. 14 (2001), no. 2, 145–151.
  119. Jajcay, Rt; Li, Cai Heng, Constructions of self-complementary circulants with no multiplicative isomorphisms.    European J. Combin. 22 (2001), no. 8, 1093–1100.
  120. Li, Cai Heng; Praeger, Cheryl E. Self-complementary vertex-transitive graphs need not be Cayley graphs. Bull. London Math. Soc. 33 (2001), no. 6, 653–661.
  121. Li, Cai Heng; Sim, Hyo-Seob, Automorphisms of Cayley graphs of metacyclic groups of prime-power order.  J. Aust. Math. Soc. 71 (2001), no. 2, 223–231.
  122. Li, Cai Heng; Zhou, Sanming, On isomorphisms of minimal Cayley graphs and digraphs. Graphs Combin.   17 (2001), no. 2, 307–314.
  123. Li, Cai Heng, The finite vertex-primitive and vertex-biprimitive s-transitive graphs for s≥4. Trans. Amer. Math. Soc353 (2001), no. 9, 3511–3529.
  124.  Li, Cai Heng, Finite s-arc transitive graphs of prime-power order. Bull. London Math. Soc. 33 (2001), 129–137.
  125. Li, Cai Heng, On finite s-transitive graphs of odd order. J. Combin. Theory Ser. B 81 (2001), no. 2, 307–317.
  126. Li, Cai Heng; Sim, Hyo-Seob, On half-transitive metacirculant graphs of prime-power order. J. Combin. Theory Ser. B 81 (2001), no. 1, 45–57.
  127. Li, Cai Heng; Sim, Hyo-Seob, The graphical regular representations of finite metacyclic p-groups. European J. Combin21 (2000), no. 7, 917–925.
  128. Li, Cai Heng; Praeger, Cheryl E.; Zhou, Sanming, A class of finite symmetric graphs with 2-arc transitive quotients. Math. Proc. Cambridge Philos. Soc. 129 (2000), no. 1, 19–34.
  129. Conder, Marston D.; Li, Cai Heng; Praeger, Cheryl E. On the Weiss conjecture for finite locally primitive graphs. Proc. Edinburgh Math. Soc. (2) 43 (2000), no. 1, 129–138.
  130. Li, CH, A complete classification of finite homogeneous groups. Bull. Austral. Math. Soc60 (1999), 331–334.
  131. Li, Cai Heng, On finite groups with the Cayley isomorphism property. II. J. Combin. Theory Ser. A 88 (1999), no. 1, 19–35.
  132. Li, Cai Heng, Isomorphisms of finite Cayley digraphs of bounded valency. II. J. Combin. Theory Ser. A 87 (1999), no. 2, 333–346.
  133. Li, Caiheng; Wang, Jie, Finite groups acting 2-transitively on their Sylow subgroups. Acta Math. Sin. (Engl. Ser.)   15 (1999), no. 1, 131–144.
  134. Li, Cai Heng, Finite CI-groups are soluble. Bull. London Math. Soc. 31 (1999), no. 4, 419–423.
  135. Li, Cai Heng; Praeger, Cheryl E. On the isomorphism problem for finite Cayley graphs of bounded valency.   European J. Combin. 20 (1999), no. 4, 279–292.
  136. Li, Cai Heng, Finite abelian groups with the m-DCI property. Ars Combin51 (1999), 77–88.
  137. Li, Cai Heng, On finite graphs that are self-complementary and vertex-transitive. Australas. J. Combin18 (1998), 147–155.
  138. Conder, Marston; Li, Cai Heng, On isomorphisms of finite Cayley graphs. European J. Combin. 19 (1998), no. 8, 911–919.
  139. Li, Cai Heng, On Cayley graphs of abelian groups. J. Algebraic Combin. 8 (1998), no. 2, 205–215.
  140. Li, Cai Heng, On isomorphisms of connected Cayley graphs. II. J. Combin. Theory Ser. B 74 (1998), no. 1, 28–34.
  141. Li, Cai Heng, On isomorphisms of connected Cayley graphs. III. Bull. Austral. Math. Soc. 58 (1998), 137–145.
  142. Li, Cai Heng; Praeger, Cheryl E.; Xu, Ming Yao, Isomorphisms of finite Cayley digraphs of bounded valency. J. Combin. Theory Ser. B 73 (1998), no. 2, 164–183.
  143. Li, Cai Heng, A family of quasiprimitive 2-arc transitive graphs which have non-quasiprimitive full automorphism groups. European J. Combin. 19 (1998), no. 4, 499–502.
  144. Li, Cai Heng, Isomorphisms of Cayley digraphs of abelian groups. Bull. Austral. Math. Soc. 57 (1998), no. 2, 181–188.
  145. Li, Cai Heng, The solution of a problem of Godsil on cubic Cayley graphs. J. Combin. Theory Ser. B 72 (1998), no. 1, 140–142.
  146. Fang, Xin Gui; Li, Cai Heng; Praeger, Cheryl E. On orbital regular graphs and Frobenius graphs. Discrete Math.    182 (1998), no. 1-3, 85–99.
  147. Li, Cai Heng; Praeger, Cheryl E.; Xu, Ming Yao, On finite groups with the Cayley isomorphism property. J. Graph Theory 27 (1998), no. 1, 21–31.
  148. Li, Cai Heng, On isomorphisms of connected Cayley graphs. Discrete Math178 (1998), no. 1-3, 109–122.
  149. Li, Cai Heng, On self-complementary vertex-transitive graphs. Comm. Algebra 25 (1997), no. 12, 3903–3908.
  150. Li, Cai Heng, The cyclic groups with the m-DCI property. European J. Combin. 18 (1997), no. 6, 655–665.
  151. Li, Cai Heng; Praeger, Cheryl E. Finite groups in which any two elements of the same order are either fused or inverse-fused. Comm. Algebra 25 (1997), no. 10, 3081–3118.
  152. Li, Cai Heng, The primitive permutation groups of certain degrees. J. Pure Appl. Algebra 115 (1997), no. 3, 275–287.
  153. Li, Cai Heng; Praeger, Cheryl E. The finite simple groups with at most two fusion classes of every order. Comm. Algebra 24 (1996), no. 11, 3681–3704.
  154. Li, Cai Heng, The finite groups with the 2-DCI property. Comm. Algebra 24 (1996), no. 5, 1749–1757.
  155. Li, Cai Heng, Isomorphisms and classification of Cayley graphs of small valencies on finite abelian groups.   Australas. J. Combin12 (1995), 3–14.
  156. Li, Cai Heng, Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate. Comm. Algebra 22 (1994), no. 8, 2807–2816. 

 

 

 

 

◆ Finite CI-groups are solvable, Bull. London Math. Soc. 31 (1999), 419-423.

◆ The finite vertex-primitive and vertex-biprimitive s-transitive graphs with s>3, Trans. Amer. Math. Soc. 353(2001), 3511-3529.

◆ On partitioning the orbitals of a transitivie permutation groups, Trans. Amer. Math. Soc. 355 (2003), 637-653.

◆ The finite primitive permutation groups containing an abelian regular subgroup, Proc. London Math. Soc. 87 (2003), 725-748.

◆ Analysing finite locally s-arc transitive graphs, Trans. Amer. Math. Soc. 356 (2004), 291-317. (with M. Giudici and C. E. Praeger).

◆ 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).

◆ Finite edge-transitive Cayley graphs and rotary Cayley maps, Trans. Amer. Math. Soc. 358 (2006), 4605-4635.

◆ Mobius regular maps, J. Combin. Theory Ser. B, 97(2007), 57-73.

◆ Finite edge primitive graphs, J. Combin. Theory Ser. B 100 (2010), 275-298. (with M. Giudici).

◆ 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).

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