1997 Citation: 1 1. ARC $350, 000 S Symmetries of finite digraphs 2014 − 2016 ARC $300, 000 Cayley graphs and associated geometries 2012 − 2014 Efficient computation in finite groups with applications in ARC $825, 728 2010 − 2014 algebra and graph theory Finite permutation groups and flag-transitive incidence ARC $999, 354 2007 − 2011 structures 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 2 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. 3 Book chapters (1) C. H. Li, Cayley Graphs, (written by invitation), Kluwer Encyclopedia of Mathematics (Supplement III),2002,(Managing Editor: M. Hazewinkel, Kluwer Academic Publishers). (2) 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 Gruyter GmbH & Co. KG, Berlin, 2006. (3) 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). Journal papers 1994-1996 (4) C. H. Li, Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate, Comm. Algebra, 22 (1994), 2807-2816. (5) C. H. Li, Isomorphisms and classification of Cayley graphs of small valencies on finite abelian groups, Australas. J. Combin. 12 (1995), 3-14. (6) C. H. Li, The finite groups with the 2-DCI property, Comm. Algebra, 24 (1996), 1749-1757. (7) 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 (8) C. H. Li, The primitive permutation groups of certain degrees, J. Pure Appl. Algebra, 115 (1997), 275-287. (9) C. H. Li, Isomorphisms of finite Cayley graphs, Bull. Aust. Math. Soc. 56 (1997), 169-172. (10) C. H. Li, The cyclic groups with the Cayley isomorphism property, European J. Combin. 18 (1997), 655-665. (11) C. H. Li, On finite groups with the Cayley invariant property, Bull. Austral. Math. Soc. 56 (1997), 253-261. (12) C. H. Li, C. E. Praeger, On finite groups in which any two elements of the same order are fused or inverse-fused, Comm. Algebra 25 (1997), 3081-3118. 1 2 (13) C. H. Li, On self-complementary vertex-transitive graphs, Comm. Algebra 25 (1997), 3903-3908. 1998 (14) C. H. Li, On isomorphisms of connected Cayley graphs, Discrete Math. 178 (1998), 109-122. (15) C. H. Li, Isomorphisms of connected Cayley digraphs, Graphs and Combin. 14 (1998), 37-44. (16) C. H. Li, Isomorphisms of Cayley digraphs of abelian groups, Bull. Austral. Math. Soc. 57 (1998), 181-188. (17) X. G. Fang, C. H. Li, C. E. Praeger, On orbital regular graphs and Frobenius graphs, Discrete Math. 182 (1998), 85-99. (18) C. H. Li, The solution of a question of Godsil regarding cubic Cayley graphs, J. Combin. Theory Ser. B 72 (1998), 140-142. (19) C. H. Li, C. E. Praeger, M. Y. Xu, Finite groups with the Cayley isomorphism property, J. Graph Theory 27 (1998), 21-31. (20) 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. (21) C. H. Li, AnonabelianCI-group, Australas. J. Combin. 17 (1998), 229-233. (22) C. H. Li, Afamilyofquasiprimitive2-arctransitivegraphs which have non-quasiprimitive full automorphism groups, European J. Combin. 19 (1998), 499-502. (23) C. H. Li, On finite graphs that are self-complementary and vertex-transitive, Australas. J. Combin. 18 (1998), 147-155. (24) 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. (25) C. H. Li, On Cayley graphs of abelian groups, J. Algebraic Combin. 8 (1998), 205-215. (26) C. H. Li, On isomorphisms of connected Cayley graphs II, J. Combin. Theory Ser. B 74 (1998), 28-34. (27) C. H. Li, On isomorphisms of connected Cayley graphs III, Bull. Austral. Math. Soc. 58 (1998), 137-145. (28) M. Conder, C. H. Li, On isomorphisms of finite Cayley graphs, European J. Combin. 19 (1998), 911-919. 1999 3 (29) 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. (30) C. H. Li, Abelian groups with the Cayley isomorphism property, Ars Combin. 51 (1999), 77-88. (31) C. H. Li, C. E. Praeger, On the isomorphism problem of finite Cayley graphs of bounded valency, European J. Combin. 20 (1999), 279-292. (32) C. H. Li, Finite CI-groups are solvable, Bull. London Math. Soc. 31 (1999), 419-423. (33) C. H. Li, On isomorphisms of finite Cayley digraphs of bounded valency II, J. Combin. Theory Ser. A 87 (1999), 333-346. (34) C. H. Li, On finite groups with the Cayley isomorphism property II, J. Combin. Theory Ser. A 88 (1999), 19-35. (35) C. H. Li, Acompleteclassificationoffinitehomogeneousgroups, Bull. Austral. Math. Soc. 60 (1999), 331-334. 2000 (36) 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. (37) C. H. Li, C. E. Praeger, S. M. Zhou, Aclassofsymmetricgraphswith2-arctransitivequotients, Math. Proc. Cambridge Phil. Soc. 129 (2000), 19-34. (38) C. H. Li, H. S. Sim, The graphical regular representations of metacyclic p- groups, European J. Combin. 21 (2000), 917-925. 2001 (39) C. H. Li, H. S. Sim, On half-transitive metacirculant graphs of prime-power order, J. Combin. Theory Ser. B 81 (2001), 45-57. (40) C. H. Li, On finite s-arc transitive graphs of odd order, J. Combin. Theory Ser. B 81 (2001), 307-317. (41) C. H. Li, Finite s-arc transitive graphs of prime-power order, Bull. London Math. Soc. 33 (2001), 129-137. (42) C. H. Li, The finite vertex-primitive and vertex-biprimitive s-transitive graphs with s > 4, Trans. Amer. Math. Soc. 353 (2001), 3511-3529. (43) C. H. Li, S. M. Zhou, Isomorphisms for minimal Cayley graphs, Graphs and Combin. 17 (2001), 307-314. 4 (44) C. H. Li, H. S. Sim, Automorphisms of metacyclic Cayley graphs of prime-power order, J. Aust. Math. Soc. 71 (2001), 223-233. (45) R. Jajacy, C. H. Li, Constructions of self-complementary circulants with no multiplicative isomorphisms, European J. Combin. 22 (2001), 1093-1100. (46) C. H. Li, D. Marusic, J. Morris, Classifying arc-transitive circulants of square-free order, J. Algebraic Combin. 14 (2001), 145-151. (47) 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 (48) 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. (49) C. H. Li, C. E. Praeger, A. Venkatesh, S. M. Zhou, Finite locally-quasiprimitive graphs, Discrete Math. 246 (2002), 197-218. (50) C. H. Li, On Isomorphisms of finite Cayley graphs – a survey, Discrete Math.