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李才恒

讲席教授

0755-88018755 lich@sustech.edu.cn http://faculty.sustech.edu.cn/lich/

简历
科研
教学
发表论著

个人简介

李才恒, 讲席教授。研究领域包括代数组合数学和置换群论。1997年毕业于西澳大利亚大学，获博士学位。1998年获得国际组合数学及其应用协会Kirkman奖章。曾任澳大利亚国家伊莉莎白二世研究员，美国Ohio州立大学终身教授，南开大学讲席教授（兼职），云南大学特聘教授（兼职），北京大学讲席教授，和西澳大学讲座教授。现为南方科技大学讲席教授。

在置换群论和代数图论方向做出了开创性的贡献，是国际学术带头人。先后解决了多个世界著名的重要问题，包括关于包含交换正则子群的本原置换群的100年老的Burnside问题。

教育/工作经历：
1997 ：获得澳大利亚西澳大利亚大学（西澳大学）数学博士学位
1997-2000：西澳大学，破格获得西澳大学博士后基金
2000-2003：西澳大学，获得澳大利亚博士后基金（澳大利亚全国所有学科一年只有55名）
2003-2008：西澳大学，澳大利亚QEII研究员 (澳大利亚全国所有学科一年只有15名）
2004-2005：美国俄亥俄州立大学，副教授
2005-2016：西澳大学，副教授、教授
2013-2016：北京大学，讲席教授（国家千人计划引进学者）
2016.7- ：南方科技大学，讲席教授（国家特聘专家）

荣誉&获奖：

1998年荣获“国际组合数学及其应用协会”颁发的Kirkman奖章
2012年国家千人计划专家
2021、2022年入选斯坦福大学发布的全球前2%顶尖科学家榜单
2021年南方科技大学教学名师

教学项目与成果：
“线性代数教学团队”主要成员之一：荣获广东省高校教学团队建设项目，目前“线性代数”成为国家一流课程

已经指导23人获得博士学位，指导过10位博士后，正在指导7位博士生

国家级科研项目：
在澳大利亚期间主持完成了8个澳大利亚国家级科研项目

回中国后，已经完成两个“国家自然科学基金面上项目”，和一个“国家自然科学基金重点项目”，结题评级“优秀”

正主持一个“国家自然科学基金重点项目”，目前进展顺利，在几个重要课题上都取得了突破性进展

科研成就：
在组合数学和代数领域做出了多项开创性的贡献，先后解决了若干个世界著名的重要问题，包括关于包含交换正则子群的本原置换群的100年老的Burnside问题。

回国后, 在群论与组合数学多个方面取得了重要成果，包括在“单群的因子分解问题”取得了突破性进展，其成果由下面四篇期刊论文（总长200多页）构成。

(i) Li, Cai Heng; Xia, Binzhou;

Factorizations of almost simple groups with a factor having many nonsolvable composition factors.

J. Algebra 528 (2019), 439-473.

(ii) Timothy C. Burness; Cai Heng Li;

On solvable factors of almost simple groups.

Adv. Math. 377 (2021), 107499, 36 pp.

(iii) Li, Cai Heng; Xia, Binzhou,

Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups.

Mem. Amer. Math. Soc. 279 (2022), no. 1375, v+99 pp.

(iv) Li, Cai Heng; Wang, Lei; Xia, Binzhou,

The exact factorizations of almost simple groups.

J.London Math. Soc. (to appear).

主要研究领域：置换群、有限群论、群与图、代数图论

科研成就：在组合数学和代数领域做出了多项开创性的贡献，先后解决了若干个世界著名的重要问题，
包括关于包含交换正则子群的本原置换群的100年老的Burnside问题。

回国后, 在群论与组合数学多个方面取得了重要成果，包括在“单群的因子分解问题”取得了突破性进展，

其成果由下面四篇期刊论文（总长200多页）构成。

(i) Li, Cai Heng; Xia, Binzhou;

Factorizations of almost simple groups with a factor having many nonsolvable composition factors.

J. Algebra 528 (2019), 439-473.

(ii) Timothy C. Burness; Cai Heng Li;

On solvable factors of almost simple groups.

Adv. Math. 377 (2021), 107499, 36 pp.

(iii) Li, Cai Heng; Xia, Binzhou,

Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups.

Mem. Amer. Math. Soc. 279 (2022), no. 1375, v+99 pp.

(iv) Li, Cai Heng; Wang, Lei; Xia, Binzhou,

The exact factorizations of almost simple groups.

J.London Math. Soc. (to appear).

主持的澳大利亚科研项目

基金来源经费项目名称 时间

ARC $350, 000 Symmetries of finite digraphs 2014 − 2016
ARC $300, 000 Cayley graphs and associated geometries 2012 − 2014
ARC $825, 728 Efficient computation in finite groups with applications in 2010-2014
algebra and graph theory
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 − 2006
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

主持过的国家科研项目

国家自然科学基金-重点项目群作用、对称图和对称几何 260万

国家自然科学基金-面上项目弧传递有向图 48万已完结项目

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.

(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, A nonabelian CI-group,

Australas. J. Combin. 17 (1998), 229-233.

(22) C. H. Li, A family of quasiprimitive 2-arc transitive graphs

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

(29) C. H. Li, Jie Wang,

Finite groups acting 2-transitively on their Sylow subgroups,

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, A complete classification of finite homogeneous groups,

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,

A class of symmetric graphs with 2-arc transitive quotients,

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.

(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. 256 (2002), 301-334.

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

Constructing homogeneous factorisations of complete graphs and digraphs,

Graphs Combin. 18 (2002), 757-761.

2003

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

On partitioning the orbitals of a transitive permutation group,

Trans. Amer. Math. Soc. 355 (2003), 637-653.

(53) C. H. Li, A. Seress,

The primitive permutation groups of square-free degree,

Bull. London Math. Soc. 35 (2003), 635-644.

(54) C. H. Li, The finite primitive permutation groups containing an abelian regular subgroup,

Proc. London Math. Soc. 87 (2003), 725-748.

2004

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

Analysing finite locally s-arc transitive graphs,

Trans. Amer. Math. Soc. 356 (2004), 291-317.

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

Finite primitive permutation groups with a small suborbit

and their orbital graphs,

J. Algebra 279 (2004), 749-770.

(57) 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.

(58) 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.

(59) 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

(60) C. H. Li, Finite s-arc transitive Cayley graphs and flag-transitive projective planes,

Proc. Amer. Math. Soc. 133 (2005), 31-41.

(61) 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.

(62) C. H. Li, A. Seress,

On finite vertex-transitive graphs with square-free number of vertices,

Designs, Codes, and Cryptography 34 (2005), 265-281.

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

Some locally 3-arc transitive graphs constructed from triality,

J. Algebra 285 (2005), 11-28.

(64) C. H. Li, Finite permutation groups with a cyclic regular subgroup and arc-transitive circulants,

J. Algebraic Combin. 21 (2005), No. 2, 131-136.

(65) Y. Q. Chen, C. H. Li

Relative difference sets fixed by inversion and Cayley graphs,

J. Combin. Theory Ser. A 111 (2005), 165-173.

2006

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

Locally 2-arc transitive graphs, homogeneous factorisations and

partial linear spaces,

J. Combin. Designs 14 (2006), 139-148.

(67) M. Giudici, C. H. Li, P. Potocnik, C. E. Praeger,

Homogeneous factorisations of graphs and digraphs,

European J. Combin. 27/1 (2006), 11-37.

(68) 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.

(69) C. H. Li, Finite edge-transitive Cayley graphs and rotary Cayley maps,

Trans. Amer. Math. Soc. 358 (2006), 4605-4635.

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

Locally s-arc transitive graphs with two different quasiprimitive actions,

J. Algebra 299 (2006), 863-890.

(71) 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), 641-658.6

(72) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofifimov,

On minimal subdegrees of finite primitive permutation groups,

Contemp. Math. 402 (2006), 75-94.

(73) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofifimov,

Limits of vertex-transitive graphs,

Contemp. Math. 402 (2006), 159-169.

2007

(74) C. H. Li, Akos Seress,

Symmetrical path-cycle covers of a graph and polygonal graphs,

J. Combin. Theory Ser. A 114 (2007), 35-51.

(75) M. Giudici, C. H. Li, C. E. Praeger, A. Seress, V. Trofifimov,

On limit graphs of finite vertex-primitive graphs,

J. Combin. Theory Ser. A 114 (2007), 110-134.

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

A new family of locally 5-arc transitive graphs,

European J. Combin. 28 (2007), 533-548.

(77) C. H. Li, J. Siran,

M¨obius regular maps,

J. Combin. Theory Ser. B 97 (2007), 57-73.

(78) M. Giudici, C. H. Li, P. Potocnik, C. E. Praeger,

Homogeneous factorisations of complete multipartite graphs,

Discrete Math. 307 (2007), 415-431.

(79) X. G. Fang, C. H. Li, J. Wang,

Finite vertex primitive 2-arc regular graphs,

J. Algebraic Combin. 25 (2007), 125-140.

(80) 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.

(81) C. H. Li, Z. P. Lu, P. Palfy,

Further restrictions on finite CI-groups,

J. Algebraic Combin. 26 (2007), 161-181.

2008

(82) C. H. Li, J. M. Pan,

Finite 2-arc-transitive Cayley graphs of abelian groups,

European J. Combin. 29 (2008), 148-158.

(83) C. H. Li, Semiregular automorphisms of cubic vertex transitive graphs,

Proc. Amer. Math. Soc. 136 (2008), 1905-1910.

(84) C. H. Li, On finite edge-transitive graphs and rotary maps,

J. Combin. Theory Ser. B. 98 (2008) 1063-1075.

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

Homogeneous factorisations of graph products,

Discrete Math. 308 (2008) 3652-3667.

(86) C. H. Li, On automorphism groups of quasiprimitive 2-arc transitive graphs,

J. Algebraic Combin. 28 (2008) 261-270.

(87) A. Devillers, M. Giudici, C. H. Li, C.E. Praeger,

Primitive decompositions of Johnson graphs,

J. Combin. Theory Ser. A, 115 (2008) 925-966.7

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

(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), 231-242.8

(101) Jing Xu, M. Giudici, C. H. Li and C. E. Praeger,

On closures of semilinear and affine permutation groups.

Elec. J. Combin. 18 (Nov 2011,RP 225, 32pp).

(102) C. H. Li, Hua Zhang,

Finite primitive permutation groups with soluble stabilisers and edge-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 order

Disc. 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. Praeger

Basic and degenerate pregeometries

European 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.

(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 graphs.

Ars 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), 500-508.9

(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. Su

Finite groups in which every subgroup is c-normal

Sciences China Math. 43 (2013), 25-32.

2014

(123) C. H. Li, S. H. Sun, J. Xu

Self-complementary circulants of prime-power order

Siam J. Discrete Math. 28 (1) (2014), 8-17.

(124) C. H. Li, H. Zhang,

Finite vertex-biprimitive edge-transitive tetravalent graphs

Discrete Math. 317 (2014), 33-43.

(125) S. J. Song, C. H. Li, H. Zhang

Finite permutation groups with a regular dihedral subgroup, and

edge-transitive dihedrants,

J. Algebra 399 (2014), 948-959.

(126) C. H. Li, Z. P. Lu, G. X. Wang

Vertex-transitive cubic graphs of square-free order

J. Graph Theory 75 (1) (2014), 1-19.

(127) W. W. Fan, C. H. Li, J. M. Pan

Finite locally-primitive complete bipartite graphs

J. 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 Seress

Local 2-Geodesic Transitivity of Graphs

Ann. Combinatorics 18 (2014), 313-325.

(130) C. H. Li, G. Rao

Self-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. Praeger

On normal 2-geodesic transitive Cayley graphs

J. Algebraic Combinatorics, 39 (2014), 903-918.

(132) C. H. Li, G. Rao, S. J. Song,

On finite self-complementary metacirculants

J. Algebraic Combinatorics, 40(4) (2014), 1135-1144.

(133) C. H. Li, Z. P. Lu, J. M. Pan

Finite vertex-primitive edge-transitive metacirculants

J. 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 graphs

J. Combin. Theory, Ser. B, 107 (2015), 12-25.

2015

(136) S. T. Guo, Y. Q. Feng and C. H. Li,

Edge-primitive tetravalent graphs

J. 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 graphs

Israel. 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. Potoˇnik,

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.

2016

(146) C. H. Li and Lei Wang,

Relative elementary abelian groups, and a class of edge-transitive Cayley graphs,

J. Austral. Math. Soc. 100(2016), 241-251.

(147) C. H. Li, C. E. Praeger, and Csaba Schneider,

Two-arc-transitive graphs with Cartesian decompositions,

J. Pure App. Alg. 220 (2016), 2683-2700.

(148) C. H. Li, Z. P. Lu and Gaixia Wang,

Arc-transitive graphs of square-free order and small valency,

Disc. Math. 339 (2016), 2907-2918.

(149) Jiangmin Pan, Zhaohong Huang, and Cai Heng Li,

Arc-transitive pentavalent graphs of of order four times a prime power,

Ars Combin. 129 (2016), 323-339.

2017

(150) M. Giudici, I. Kovacs, C. H. Li and G. Verret,

Cubic arc-transitive k-multicirculants.

J. Combin. Theory, Ser. B. 125 (2017), 80-94.

(151) 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. 150 (2017), 152-161.

(152) C. H. Li, Lei Wang and C. X. Wu,

Constructions of vertex-transitive self-complementary graphs.

Elec. J. Combin. 24 (3) (2017), P3.19.

(153) M. Giudici, S. Glasby, C. H. Li and G. Verret,

The number of composition factors of order p in completely reducible groups of characteristic p.

J. Algebra. 490 (2017), 241-255.

(154) M. Giudici, C. H. Li and B. Z. Xia,

An infinity family of vertex-primitive 2-arc-transitive digraphs.

J. Combin. Theory, Ser. B. 127 (2017), 1-13.

2018

(155) John Bamberg, Cai Heng Li, and Eric Swartz,

A classification of finite antiflag-transitive generalized quadrangles.

Trans. Amer. Math. Soc. 370 (2018), 1551-1601.

(156) W. W. Fan and C. H. Li,

The complete bipartite graphs with a unique edge-transitive embedding.

J. Graph Theory 87 (2018), 581-586.

(157) W. W. Fan and C. H. Li,

A classification of orientably edge-transitive circular embeddings of $K_{p^e,p^f}$ .

Ann. Comb. 22 (2018), 135-146.

(158) 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.

(159) Pan, Jiangmin; Li, Cai Heng

Finite permutation groups containing a transitive abelian subgroup.

Comm. Algebra 46 (2018), 1576-1585.

2019

(160) Giudici, Michael; Glasby, S. P.; Li, Cai Heng; Verret, Gabriel,

Arc-transitive digraphs with quasiprimitive local actions.

J. Pure Appl. Algebra 223 (2019), 1217-1226

(161) Li, Cai Heng; Wang, Lei

Finite REA-groups are solvable.

J. Algebra 522 (2019), 195-217.

(162) Fan, Wenwen; Li, Cai Heng; Wang, Naer;

Edge-transitive uniface embeddings of bipartite multi-graphs.

J. Algebraic Combin. 49 (2019), no. 2, 125-134.

(163) Chen, Jiyong; Jin, Wei; Li, Cai Heng;

On 2-distance-transitive circulants.

J. Algebraic Combin. 49 (2019), no. 2, 179-191.

(164) Li, Cai Heng; Xia, Binzhou;

Factorizations of almost simple groups with a factor having many nonsolvable composition factors.

J. Algebra 528 (2019), 439-473.

(165) Michael Giudici, Cai Heng Li, Binzhou Xia,

Vertex-primitive s-arc-transitive digraphs of linear groups,

J. Pure Applied Alg.,223 (2019), 5455-5483.

(166) Robert Jajcay, Cai-Heng Li, Jozef Siran, Yan Wang,

Regular and orientably-regularmaps with quasiprimitive automorphism groups on vertices,

Geometriae Dedicata, 203 (2019), 389-418.

2021

(167) Timothy C. Burness; Cai Heng Li;

On solvable factors of almost simple groups.

Adv. Math. 377 (2021), 107499.

(168) John Bamberg, Cai Heng Li, Eric Swartz

A classification of finite locally 2-transitive generalized quadrangles,

Trans. Amer. Math. Soc. 374(2021), 1535-1578.

(169) Cai Heng Li, Binzhou Xia, Sanming Zhou

An explicit characterization of arc-transitive circulants,

J. Combin. Theory Ser. B 150(2021), 1-16.

(170) Cai Heng Li, Jin Jian Li, Zia Ping Lu

Two-arc-transitive graphs of odd order - II,

European J. Combin. 96(2021), Paper No. 103354.

(171) Li, Cai Heng; Rao, Guang; Song, Shu Jiao

New constructions of self-complementary Cayley graphs.

J. Aust. Math. Soc. 111 (2021), no. 3, 372-385.

(172) Li, Cai Heng; Pan, Jiangmin; Xia, Binzhou

Finite quasiprimitive permutation groups with a metacyclic transitive subgroup.

J. Algebra 588 (2021), 250-277.

(173) Korhonen, Mikko; Li, Cai Heng

Systems of imprimitivity for wreath products.

J. Algebra 587 (2021), 628-637.

2022

(174) Li, Cai Heng; Xia, Binzhou

Factorizations of almost simple groups with a solvable factor, and Cayley graphs of solvable groups.

Mem. Amer. Math. Soc. 279 (2022), no. 1375, v+99 pp.

(175) Chen, Jiyong; Li, Cai Heng; Praeger, Cheryl E.; Song, Shu Jiao

The graphs with a symmetrical Euler cycle.

Art Discrete Appl. Math. 5 (2022), no. 3, Paper No. 3.03, 35 pp.

(176) Lou, Ben Gong; Li, Cai Heng

Vertex-quasiprimitive locally primitive graphs.

J. Algebraic Combin. 55 (2022), no. 4, 1279-1288.

(177) Chen, Jiyong; Du, Shaofei; Li, Cai Heng

Skew-morphisms of nonabelian characteristically simple groups.

J. Combin. Theory Ser. A 185 (2022), Paper No. 105539, 17 pp.

2023

(178) Li, Cai Heng; Li, Jing Jian; Lu, Zai Ping;

Two-arc-transitive graphs of odd order: I.

J. Algebraic Combin. 57 (2023), no. 4, 1253-1264.

(179) Fan, Wenwen; Li, Cai Heng; Qiao, Shouhong

Complete circular regular dessins of coprime orders.

Discrete Math. 346 (2023), no. 1, Paper No. 113189, 10 pp.

(180) Li, Cai Heng; Wang, Lei; Xia, Binzhou

The exact factorizations of almost simple groups.

J. London Math. Soc. (to appear).

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