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ARC $300, 000 Cayley graphs and associated geometries 2012 − 2014

ARC $825, 728 Efficient computation in finite groups with applications in algebra and graph theory 2010 − 2014

ARC $999, 354 Finite permutation groups and flag-transitive incidence structures 2007 − 2011

ARC QEII $589, 275 Symmetrical graphs, generalized polygons and

expanders 2003 − 2007

ARC $300, 000 Factorisation of finite groups and graphs 2004 − 2206

ARC $165, 000 Finite almost transitive groups and graphs 2001 − 2003

APD $177, 009 Finite s-arc-transitive graphs and regular maps 2000 − 2002

UWA $150, 000 Finite vertex-transitive graphs and Cayley graphs 1997 − 2000

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Selected Plenary and Invited Talks

I have given a number of keynote/invited talks at international conferences in Europe, North America, Asia or Australia most years since 1998, including

• Amalgams for Graphs and Geometries (Oberwolfach, May 2004). • Group Theory and Algebraic Combinatorics (Beijing, June 2004) • Third Pacific Rim Conference on Mathematics (Shanghai, Aug 2005), • Second Annual Conference on Computation and Logic (Kunming, May 2005), • Lie Theory, Lattices and Dynamics (Newcastle, Nov 2005), • Applications of Group Theory to Combinatorics (Pohang Korea, July 2007), • Permutation Groups (Oberwolfach, Aug 2007), (invited, but couldn’t go). • Fourth Pacific Rim Conference on Mathematics (Hong Kong, Dec. 2007). • Algebraic Combinatorics and Group Theory (Beijing, June 2008). • Vertex Transitive Graphs (Banff, Dec. 2008). • Group Theory, Combinatorics and Computation (Perth, Jan 2009). • Discrete Mathematics – Tomo is Sixty (Ljubljana Slovenia, June 2009). • Graph Embeddings and Maps on Surfaces (Slovakia, July 2009). • Symmetries of Graphs and Networks (Slovenia, August 2010). • A Symposium on Mathematics and Applications (Yunnan Math. Soc. Sep 2010). • Group Actions on Combin. Structures – Beijing International Workshop (2011.8). • An International Symposium on Logic, Computation and Combinatorics (Sep 2012,

Kunming China). • The Seventh Conference on Graphs and Combinatorics (Changsha, 2013.6). • The Third International Symposium on Groups, Algebras and related topics,

(Beijing, June 2013). • The 13th Natinal Conference on Algebra of China (Aug 2013, Changchun China). • The 2nd International Conference on Group, Graph and Network (2013, Beijing). • The 5th International Symposium on Graph Theory and Combinatorial Algorithms

(Inner Mongolia, July 2013). • Second International Conference on Group Actions and Transitive Graphs

(Kunming China, Sep 2013). • Symmetries of Graphs and Networks IV, (Slovenia, 2014, invited but couldn’t go). • SIGMAP 2014 Workshop Symmetry In Graphs, Maps And Polytopes (West

Malvern, U.K., July 2014, invited, but couldn’t go). • International conference on Groups and Algebras (Beijing June 2014). • International Conference on Combinatorics and Graphs, A Satellite Conference of

ICM 2014 (Beijing, Aug 2014, invited but couldn’t go). • Asymptotic group theory, Budapest, Hungary, (2015.8, invited but couldn’t go). • Workshop on Algebraic Combinatorics, Hangzhou, China, Sep 18-23, 2015, • Groups and transitive graphs, Nanning, November 2015 • Symmetric graphs, and Networks, Tianjin, December 2016. • Cheryl Praeger Retirement Mini-symposium, Perth, April 13, 2017.

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2 CONTENTS

1994-1996

(1) C. H. Li, Finite groups in which every pair of elements of the same orderis either conjugate or inverse-conjugate,Comm. Algebra, 22 (1994), 2807-2816.

(2) C. H. Li, Isomorphisms and classification of Cayley graphs ofsmall valencies on finite abelian groups,Australas. J. Combin. 12 (1995), 3-14.

(3) C. H. Li, The finite groups with the 2-DCI property,Comm. Algebra, 24 (1996), 1749-1757.

(4) C. H. Li and C. E. Praeger,The finite simple groups with at most two fusion classes of every order,Comm. Algebra, 24 (1996), 3681-3704.

1997

(5) C. H. Li, The primitive permutation groups of certain degrees,J. Pure Appl. Algebra, 115 (1997), 275-287.

(6) C. H. Li, Isomorphisms of finite Cayley graphs,Bull. Aust. Math. Soc. 56 (1997), 169-172.

(7) C. H. Li, The cyclic groups with the Cayley isomorphism property,European J. Combin. 18 (1997), 655-665.

(8) C. H. Li, On finite groups with the Cayley invariant property,Bull. Austral. Math. Soc. 56 (1997), 253-261.

(9) C. H. Li, C. E. Praeger,On finite groups in which any two elements of the same order arefused or inverse-fused, Comm. Algebra 25 (1997), 3081-3118.

(10) C. H. Li, On self-complementary vertex-transitive graphs,Comm. Algebra 25 (1997), 3903-3908.

1998

(11) C. H. Li, On isomorphisms of connected Cayley graphs,Discrete Math. 178 (1998), 109-122.

(12) C. H. Li, Isomorphisms of connected Cayley digraphs,Graphs and Combin. 14 (1998), 37-44.

(13) C. H. Li, Isomorphisms of Cayley digraphs of abelian groups,Bull. Austral. Math. Soc. 57 (1998), 181-188.

(14) X. G. Fang, C. H. Li, C. E. Praeger, On orbital regular graphs and Frobeniusgraphs,Discrete Math. 182 (1998), 85-99.

(15) C. H. Li, The solution of a question of Godsil regarding cubic Cayley graphs,J. Combin. Theory Ser. B 72 (1998), 140-142.

CONTENTS 3

(16) C. H. Li, C. E. Praeger, M. Y. Xu,Finite groups with the Cayley isomorphism property,J. Graph Theory 27 (1998), 21-31.

(17) Z. Y. Gu, C. H. Li,The Cayley graphs of order a prime-square which are Cayley invariant,Australas. J. Combin. 17 (1998), 169-174.

(18) C. H. Li, A nonabelian CI-group,Australas. J. Combin. 17 (1998), 229-233.

(19) C. H. Li, A family of quasiprimitive 2-arc transitive graphswhich have non-quasiprimitive full automorphism groups,European J. Combin. 19 (1998), 499-502.

(20) C. H. Li,On finite graphs that are self-complementary and vertex-transitive,Australas. J. Combin. 18 (1998), 147-155.

(21) C. H. Li, C. E. Praeger, M. Y. Xu,On isomorphisms of finite Cayley digraphs of bounded valency,J. Combin. Theory Ser. B 73 (1998), 164-183.

(22) C. H. Li, On Cayley graphs of abelian groups,J. Algebraic Combin. 8 (1998), 205-215.

(23) C. H. Li, On isomorphisms of connected Cayley graphs II,J. Combin. Theory Ser. B 74 (1998), 28-34.

(24) C. H. Li, On isomorphisms of connected Cayley graphs III,Bull. Austral. Math. Soc. 58 (1998), 137-145.

(25) M. Conder, C. H. Li, On isomorphisms of finite Cayley graphs,European J. Combin. 19 (1998), 911-919.

1999

(26) C. H. Li, Jie Wang, Finite groups acting 2-transitively on their Sylow sub-groups,Acta Math. Sinica 41 (1998), 931-942; (English Series) 15 (1999), 131-144.

(27) C. H. Li, Abelian groups with the Cayley isomorphism property,Ars Combin. 51 (1999), 77-88.

(28) C. H. Li, C. E. Praeger,On the isomorphism problem of finite Cayley graphs of bounded valency,European J. Combin. 20 (1999), 279-292.

(29) C. H. Li, Finite CI-groups are solvable,Bull. London Math. Soc. 31 (1999), 419-423.

(30) C. H. Li, On isomorphisms of finite Cayley digraphs of bounded valency II,J. Combin. Theory Ser. A 87 (1999), 333-346.

(31) C. H. Li, On finite groups with the Cayley isomorphism property II,J. Combin. Theory Ser. A 88 (1999), 19-35.

(32) C. H. Li, A complete classification of finite homogeneous groups,Bull. Austral. Math. Soc. 60 (1999), 331-334.

4 CONTENTS

2000

(33) M. Conder, C. H. Li, C. E. Praeger,On the Weiss conjecture for finite locally-primitive graphs,Proc. Edinburgh Math. Soc. 43 (2000), 129-138.

(34) C. H. Li, C. E. Praeger, S. M. Zhou,A class of symmetric graphs with 2-arc transitive quotients,Math. Proc. Cambridge Phil. Soc. 129 (2000), 19-34.

(35) C. H. Li, H. S. Sim, The graphical regular representations of metacyclic p-groups,European J. Combin. 21 (2000), 917-925.

2001

(36) C. H. Li, H. S. Sim,On half-transitive metacirculant graphs of prime-power order,J. Combin. Theory Ser. B 81 (2001), 45-57.

(37) C. H. Li, On finite s-arc transitive graphs of odd order,J. Combin. Theory Ser. B 81 (2001), 307-317.

(38) C. H. Li, Finite s-arc transitive graphs of prime-power order,Bull. London Math. Soc. 33 (2001), 129-137.

(39) C. H. Li, The finite vertex-primitive and vertex-biprimitives-transitive graphs with s > 4,Trans. Amer. Math. Soc. 353 (2001), 3511-3529.

(40) C. H. Li, S. M. Zhou, Isomorphisms for minimal Cayley graphs,Graphs and Combin. 17 (2001), 307-314.

(41) C. H. Li, H. S. Sim,Automorphisms of metacyclic Cayley graphs of prime-power order,J. Aust. Math. Soc. 71 (2001), 223-233.

(42) R. Jajacy, C. H. Li,Constructions of self-complementary circulants with no multiplicativeisomorphisms, European J. Combin. 22 (2001), 1093-1100.

(43) C. H. Li, D. Marusic, J. Morris,Classifying arc-transitive circulants of square-free order,J. Algebraic Combin. 14 (2001), 145-151.

(44) C. H. Li, C. E. Praeger,Self-complementary vertex-transitive graphs need not be Cayley graphs,Bull. London Math. Soc. 33 (2001), no. 6, 653-661.

2002

(45) X. G. Fang, C. H. Li, J. Wang, M. Y. Xu,On cubic normal Cayley graphs of finite simple groups,Discrete Math. 244 (2002), 67-75.

CONTENTS 5

(46) C. H. Li, C. E. Praeger, A. Venkatesh, S. M. Zhou,

Finite locally-quasiprimitive graphs,Discrete Math. 246 (2002), 197-218.

(47) C. H. Li, On Isomorphisms of finite Cayley graphs – a survey,Discrete Math. 256 (2002), 301-334.

(48) C. H. Li, C. E. Praeger,

Constructing homogeneous factorisations of complete graphs and digraphs,Graphs Combin. 18 (2002), 757-761.

(49) C. H. Li, Cayley Graphs, (written by invitation),

Kluwer Encyclopedia of Mathematics (Supplement III), 2002, (Managing

Editor: M. Hazewinkel, Kluwer Academic Publishers).

2003

(50) C. H. Li, C. E. Praeger,

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

(51) C. H. Li, A. Seress, The primitive permutation groups of square-free degree,Bull. London Math. Soc. 35 (2003), 635-644.

(52) C. H. Li,

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

2004

(53) M. Giudici, C. H. Li, C. E. Praeger,

Analysing finite locally s-arc transitive graphs,Trans. Amer. Math. Soc. 356 (2004), 291-317.

(54) C. H. Li, Z. P. Lu, D. Marusic,

Finite primitive permutation groups with a small suborbitand their orbital graphs,J. Algebra 279 (2004), 749-770.

(55) X. G. Fang, C. H. Li, M. Y. Xu,

On finite edge-transitive Cayley graphs of valency 4,European J. Combin. 25 (2004), 1107-1116.

(56) R. Guralnick, C. H. Li, C. E. Praeger, J. Saxl,

On orbital partitions and exceptionality of primitive permutation groups,Trans. Amer. Math. Soc. 356 (2004), 4857-4872.

(57) X. G. Fang, C. H. Li, C. E. Praeger,

The locally 2-arc-transitive graphs admitting a Ree simple group,J. Algebra 282 (2004), 638-666.

2005

6 CONTENTS

(58) C. H. Li,Finite s-arc transitive Cayley graphs and flag-transitive projective planes,Proc. Amer. Math. Soc. 133 (2005), 31-41.

(59) C. H. Li, Josef Siran,Regular maps whose groups do not act faithfully on vertices, edges or faces,European J. Combin. 26 (2005), 521-541.

(60) C. H. Li, A. Seress,On finite vertex-transitive graphs with square-free number of vertices,Designs, Codes, and Cryptography 34 (2005), 265-281.

(61) M. Giudici, C. H. Li, C. E. Praeger,Some locally 3-arc transitive graphs constructed from triality,J. Algebra 285 (2005), 11-28.

(62) C. H. Li,Finite permutation groups with a cyclic regular subgroup andarc-transitive circulants,J. Algebraic Combin. 21 (2005), No. 2, 131-136.

(63) Y. Q. Chen, C. H. LiRelative di↵erence sets fixed by inversion and Cayley graphs,J. Combin. Theory Ser. A 111 (2005), 165-173.

2006

(64) M. Giudici, C. H. Li, C. E. Praeger,Locally 2-arc transitive graphs, homogeneous factorisations andpartial linear spaces,J. Combin. Designs 14 (2006), 139-148.

(65) M. Giudici, C. H. Li, P. Potocnik, C. E. Praeger,Homogeneous factorisations of graphs and digraphs,European J. Combin. 27/1 (2006), 11-37.

(66) C. H. Li, Z. P. Lu, Hua Zhang,Tetravalent edge-transitive Cayley graphs with odd number of vertices,J. Combin. Theory Ser. B 96 (2006), 164-181.

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

(68) M. Giudici, C. H. Li, C. E. Praeger,Locally s-arc transitive graphs with two di↵erent quasiprimitive actions,J. Algebra 299 (2006), 863-890.

(69) M. Giudici, C. H. Li, C. E. Praeger,On finite locally s-arc transitive graphs with a star normal quotient,J. Group Theory 9 (2006), 641-658.

(70) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofimov,On minimal subdegrees of finite primitive permutation groups,Contemp. Math. 402 (2006), 75-94.

CONTENTS 7

(71) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofimov,Limits of vertex-transitive graphs,Contemp. Math. 402 (2006), 159-169.

(72) C. H. Li, A. Seress,Constructions of quasiprimitive two-arc transitive graphs of product action type,Finite geometries, groups, and computation, 115-123, Walter de GruyterGmbH & Co. KG, Berlin, 2006.

2007

(73) C. H. Li, Akos Seress,Symmetrical path-cycle covers of a graph and polygonal graphs,J. Combin. Theory Ser. A 114 (2007), 35-51.

(74) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofimov,On limit graphs of finite vertex-primitive graphs,J. Combin. Theory Ser. A 114 (2007), 110-134.

(75) M. Giudici, C. H. Li, C. E. Praeger, A new family of locally 5-arc transitivegraphs,European J. Combin. 28 (2007), 533-548.

(76) C. H. Li, J. Siran, Mobius regular maps,J. Combin. Theory Ser. B 97 (2007), 57-73.

(77) M. Giudici, C. H. Li, P. Potocnik, C. E. Praeger,Homogeneous factorisations of complete multipartite graphs,Discrete Math. 307 (2007), 415-431.

(78) X. G. Fang, C. H. Li, J. Wang,Finite vertex primitive 2-arc regular graphs,J. Algebraic Combin. 25 (2007), 125-140.

(79) X. G. Fang, C. H. Li, J. Wang,On transitive 1-factorizations of arc-transitive graphs,J. Combin. Theory Ser. A 114 (2007), 692-703.

(80) C. H. Li, Z. P. Lu, P. Palfy, Further restrictions on finite CI-groups,J. Algebraic Combin. 26 (2007), 161-181.

2008

(81) C. H. Li, J. M. Pan,Finite 2-arc-transitive Cayley graphs of abelian groups,European J. Combin. 29 (2008), 148-158.

(82) C. H. Li, Semiregular automorphisms of cubic vertex transitive graphs,Proc. Amer. Math. Soc. 136 (2008), 1905-1910.

(83) C. H. Li, On finite edge-transitive graphs and rotary maps,J. Combin. Theory Ser. B. 98 (2008) 1063-1075.

(84) M. Giudici, C. H. Li, C. E. Praeger, Homogeneous factorisations of graphproducts,Discrete Math. 308 (2008) 3652-3667.

8 CONTENTS

(85) C. H. Li, On automorphism groups of quasiprimitive 2-arc transitive graphs,J. Algebraic Combin. 28 (2008) 261-270.

(86) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger,Primitive decompositions of Johnson graphs,J. Combin. Theory Ser. A, 115 (2008) 925-966.

(87) M. Giudici, C. H. Li, and C. E. Praeger,Symmetrical covers, decompositions and factorisations of graphs,in Applications to Group Theory and Combinatorics. Eds: J. Koolen, J.H.Kwak and M.Y. Xu. A. A. Balkema Publishers (Taylor & Francis), pp27-42(2008).

2009

(88) C. H. Li, Vertex transitive embeddings of complete graphs,J. Combin. Theory Ser. B 99 (2009) 447-454.

(89) C. H. Li, T. K. Lim, C. E. Praeger,Homogeneous factorizations of complete graphs with edge-transitive factors,J. Algebraic Combin. 29 (2009) 107-132.

(90) C. H. Li, Jiangmin Pan, Li Ma,Locally primitive graphs of prime-power order,J. Austral. Math. Soc. 89 (2009) 111-122.

(91) C. E. Praeger, C. H. Li, L. Stringer,Common circulant cyclic homogeneous factorisations of complete graphs,Discrete Math. 309 (2009), 3006-3012.

(92) Jiangmin Pan, C. H. Li,Enumerating local permutation polynomials over residue class rings,Taiwanese J. Math. 13 (2009), 1371-1377.

2010

(93) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger,Some graphs related to the small Mathieu groups,European J. Combin. 31 (2010), 336-348.

(94) C. H. Li, C. E. Praeger, S. M. Zhou,Imprimitive symmetric graphs with cyclic blocks,European J. Combin. 31 (2010), 262-367.

(95) M. Giudici, C. H. Li,Finite edge-primitive and edge-quasiprimitive graphs,J. Combin. Theory Ser. B 100 (2010), 275-298.

(96) C. H. Li, Liang Niu, Akos Seress, Ronald Solomon,The vertex primitive and vertex bi-primitive s-arc regular graphs,J. Combin. Theory Ser. B 100 (2010), 359-366.

2011

CONTENTS 9

(97) C. H. Li, Bengong Lou, Jiangmin Pan,Finite locally primitive abelian Cayley graphs,Sci. China Math. 54(4) (2011), 845-854.

(98) Shouhong Qiao, C. H. Li,The finite groups of cube-free order,J. Algebra, 334 (2011), 101-108.

(99) A. Devillers, M. Giudici, C. H. Li, G. Pearce, C.E. Praeger,On imprimitive rank 3 permutation groups,J. London Math. Soc. 84(3) (2011), 649-669.

(100) C. H. Li and L. Ma,On locally primitive graphs, and bi-direct products of graphs,J. Austral. Math. Soc. 91 (2011), 231-242.

(101) Jing Xu, M. Giudici, C. H. Li and C. E. Praeger,On closures of semilinear and a�ne permutation groups.Elec. J. Combin. 18 (Nov 2011,RP 225, 32pp).

(102) C. H. Li, Hua Zhang,Finite primitive permutation groups with soluble stabilisers andedge-primitive 4-arc transitive graphs,Proc. London Math. Soc. (3) 103 (2011), 441-472.

2012

(103) C. H. Li, Zhe Liu and Z. P. Lu,The edge-transitive tetravalent Cayley graphs of square-free orderDisc. Math. 312 (2012), 1952-1967.

(104) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger,Locally s-distance transitive graphs,J. Graph Theory 69 (2012), 176-197.

(105) A. Devillers, M. Giudici, C. H. Li and C.E. Praeger,An infinite family of biquasiprimitive 2-arc-transitive cubic graphs,J. Algebraic Combin. 35 (2012), 173-192.

(106) C. H. Li and C. E. Praeger,Finite permutation groups with a transitive cyclic subgroup,J. Algebra 349 (2012), 117-127.

(107) M. R. Giudici, C. H. Li, G. Pearce, C. E. PraegerBasic and degenerate pregeometriesEuropean J. Combin. 33 (2012), 1178-1189

(108) Shujiao Song, C. H. Li, and Dianjun Wang,Classifying a family of edge-transitive metacirculant graphs,J. Algebraic Combin. 35 (2012), 497-513

(109) C. H. Li and Hua Zhang,The finite primitive and bi-primitive 2-path-transitive graphs.J. Algebraic Combin. 36 (2012), 231-246.

10 CONTENTS

(110) T. Dobson, C. H. Li, and Pablo Spiga,Transitive permutation groups with a regular abelian Hall subgroup,Comm. Algebra. 40 (2012), 3352-3539.

2013

(111) C. H. Li and Hua Zhang,On finite 2-path-transitive graphs J. Graph Theory. 73 (2013), 225-237.

(112) A. M. Devillers, Wei Jin, C. H. Li and C. E. Praeger,On distance, geodesic and arc transitivity of graphsArs Mathematica Contemporanea. 6 (2013), 13-20.

(113) C. H. Li, Shujiao Song, and Dianjun Wang,A characterization of metacirculants,J. Combin. Theory Ser. A. 120 (2013), 39-48.

(114) A. M. Devillers, W. Jin, C. H. Li and C. E. Praeger,Local 2-geodesic transitivity and clique graphs,J. Combin. Theory Ser. A, 120 (2013), 500-508.

(115) A. M. Devillers, M. R. Giudici, C. H. L and C. E. Praeger,Locally s-distance transitive graphs and pairwise transitive designs,J. Combin. Theory Ser. A, 120 (2013), 1855-1870.

(116) S. T. Guo, Y. Q. Feng and C. H. Li,The finite edge-primitive pentavalent graphs,J. Algebraic Combinatorics, 38 (2013), 491-497.

(117) A. G. Wu, W. Q. Liu, C. H. Li G. R. Duan,On j-conjugate product of quaternion polynomial matrices,Applied Mathematics and Computation, 219 (2013), 11223-11232.

(118) W. W. Fan, D. Leemans, C. H. Li J. M. Pan,Locally 2-arc-transitive complete bipartite graphs,J. Combin. Theory Ser. A, 120 (2013), 683-699.

(119) C. H. Li and S. H. Qiao,Finite groups of fourth-power free order,J. Group Theory, 16 (2013), 275-298.

(120) S. J. Song, C. H. Li and D. J. Wang,A family of edge-transitive Frobenius metacirculants of small valency,European J. Combinatorics, 34 (2013), 512-521.

(121) Jing Chen, C. H. Li and A. Seress,A family of half-transitive graphs,Elec. J. Combin., 20 (2013). P56.

(122) C. H. Li, Y. M. Wang, Z. Q. Xie, N. SuFinite groups in which every subgroup is c-normalSciences China Math. 43 (2013), 25-32.

2014

CONTENTS 11

(123) C. H. Li, S. H. Sun, J. XuSelf-complementary circulants of prime-power orderSiam J. Discrete Math. 28 (1) (2014), 8-17.

(124) C. H. Li, H. Zhang,Finite vertex-biprimitive edge-transitive tetravalent graphsDiscrete Math. 317 (2014), 33-43.

(125) S. J. Song, C. H. Li, H. ZhangFinite permutation groups with a regular dihedral subgroup, andedge-transitive dihedrants,J. Algebra 399 (2014), 948-959.

(126) C. H. Li, Z. P. Lu, G. X. WangVertex-transitive cubic graphs of square-free orderJ. Graph Theory 75 (1) (2014), 1-19.

(127) W. W. Fan, C. H. Li, J. M. PanFinite locally-primitive complete bipartite graphsJ. Group Theory 17 (2014), 111-129.

(128) C. H. Li and Xian Hua Li,Primitive permutation groups of degree being a product of two prime-powers.Comm. Algebra, 42 (2014), 4722-4743.

(129) Alice Devillers, Wei Jin, Cai Heng Li, Akos SeressLocal 2-Geodesic Transitivity of GraphsAnn. Combinatorics 18 (2014), 313-325.

(130) C. H. Li, G. RaoSelf-complementary vertex-transitive graphs of order a product of two primes,Bull. Austral. Math. Soc. 89 (2014), 322-330.

(131) Alice Devillers, Wei Jin, Cai Heng Li, Cheryl E. PraegerOn normal 2-geodesic transitive Cayley graphsJ. Algebraic Combinatorics, 39 (2014), 903-918.

(132) C. H. Li, G. Rao, S. J. Song,On finite self-complementary metacirculantsJ. Algebraic Combinatorics, 40(4) (2014), 1135-1144.

(133) C. H. Li, Z. P. Lu, J. M. PanFinite vertex-primitive edge-transitive metacirculantsJ. Algebraic Combinatorics, 40(3) (2014), 785-804.

(134) S. J. Song, C. H. Li, and D. J. Wang,Finite locally-quasiprimitive graphs,Algebra Colloquium. 21 (2014), 627-634.

(135) C. H. Li, J. M. Pan, S. J. Song, D. Wang,A characterization of a family of edge-transitive metacirculant graphsJ. Combin. Theory, Ser. B, 107 (2015), 12-25.

2015

12 CONTENTS

(136) S. T. Guo, Y. Q. Feng and C. H. Li,Edge-primitive tetravalent graphsJ. Combin. Theory, Ser. B, 112 (2015), 124-137.

(137) M. Giudici, C. H. Li, A. Seress and A. Thomas,Characterising star-transitive and st (edge)-transitive graphsIsrael. J. Math. 205 (2015), 35-72

(138) Y. Q. Feng, C. H. Li and J. X. Zhou,Symmetric cubic graphs with soluble automorphism groups.European J. Combin. 45 (2015), 1-11.

(139) Wei Jin, A. Devillers, C. H. Li and C. E. Praeger,On geodesic transitive graphs.Discrete Math. 338 (2015), 168-173.

(140) C. H. Li, A. Seress and S. J. Song,s-Arc-transitive graphs and normal subgroups.J. Algebra, 421 (2015), 331-348.

(141) M. D. Conder, C. H. Li, and P. Potonik,On the orders of arc-transitive graphs.J. Algebra, 421 (2015), 167-186.

(142) Cai Heng Li, Zai Ping Lu, Gai Xia Wang,The vertex-transitive and edge-transitive tetravalent graphs of square-free order,J. Algebraic Combinatorics, 42 (2015), 25-50.

(143) C. H. Li, Z. P. Lu and G. X. Wang,On edge-transitive graphs of square-free order,Elec. J. Combinatorics, 22(3) (2015), #P3.25.

(144) Jing Chen, C. H. Li and W. J. Liu,On isomorphisms of vertex-transitive graphs,J. Austral. Math. Soc. published online 13 August 2015.

(145) Alice Devillers, Wei Jin, Cai Heng Li and Cheryl E. Praeger,Finite 2-geodesic transitive graphs of prime valency,J. Graph Theory 80 (2015), 18-27.

(146) C. H. Li and Lei Wang,Relative elementary abelian groups, and a class of edge-transitive Cayley graphs,J. Austral. Math. Soc. accepted, August 2015.

(147) C. H. Li, C. E. Praeger, and Csaba Schneider,Two-arc-transitive graphs with Cartesian decompositions,J. Pure App. Alg. accepted, October 2015.

(148) John Bamberg, Cai Heng Li, and Eric Swartz,A classification of finite antiflag-transitive generalized quadrangles.Trans. Amer. Math. Soc.

(149) M. Giudici, I. Kovacs, C. H. Li and G. Verret,Cubic arc-transitive k-multicirculants.J. Combin. Theory, Ser. B. (2017).

CONTENTS 13

(150) C. H. Li, Bo Ling, and C. X. Wu,An infinity family of 2-arc-transitive graphs of product action type.J. Combin. Theory, Ser. A. (2017).

(151) W. W. Fan and C. H. Li,The complete bipartite graphs with a unique edge-transitive embedding.J. Graph Theory (2017).

(152) W. W. Fan and C. H. Li,A classification of orientably edge-transitive circular embeddings of Kpe,pf .Ann. Comb. (2017).

(153) M. Giudici, C. H. Li and B. Z. Xia,An infinity family of vertex-primitive 2-arc-transitive digraphs.J. Combin. Theory, Ser. B. (2017).

(154) C. H. Li, Lei Wang and C. X. Wu,Constructions of vertex-transitive self-complementary graphs.Elec. J. Combin. (2017).