Cai-Heng Li

Professor, MSc Chinese Acad.Sc., PhD W.Aust.

  • The University of Western Australia (M019), 35 Stirling Highway,

    6009 Crawley

    Australia

  • 1296 Citations
  • 18 h-Index
19972018
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Research Output 1997 2018

  • 1296 Citations
  • 18 h-Index
  • 144 Article
  • 4 Chapter (peer-reviewed)
  • 2 Other output
  • 1 Comment/debate
2018

A classification of finite antiflag-transitive generalized quadrangles

Bamberg, J., Li, C. H. & Swartz, E. 1 Jan 2018 In : Transactions of the American Mathematical Society. 370, 3, p. 1551-1601 51 p.

Research output: Contribution to journalArticle

Open Access
Generalized Quadrangle
Algebra
Geometry
Line
Incidence Geometry
2017

An infinite family of vertex-primitive 2-arc-transitive digraphs

Giudici, M., Li, C. H. & Xia, B. 1 Nov 2017 In : Journal of Combinatorial Theory. Series B. 127, p. 1-13 13 p.

Research output: Contribution to journalArticle

Open Access
Digraph
Arc of a curve
Vertex of a graph
Family

Cubic arc-transitive k-multicirculants

Giudici, M., Kovács, I., Li, C. H. & Verret, G. 1 Jul 2017 In : Journal of Combinatorial Theory. Series B. 125, p. 80-94 15 p.

Research output: Contribution to journalArticle

Arc of a curve
Orbits
Semiregular
Coprime
Automorphism Group
1 Citations
P-groups
Cayley Graph
Odd
Series
Vertex-transitive

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

Giudici, M., Glasby, S. P., Li, C. H. & Verret, G. 15 Nov 2017 In : Journal of Algebra. 490, p. 241-255 15 p.

Research output: Contribution to journalArticle

Open Access
Subgroup
2016
5 Citations

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

Li, C. H., Lu, Z. P. & Wang, G. 6 Dec 2016 In : Discrete Mathematics. 339, 12, p. 2907-2918 12 p.

Research output: Contribution to journalArticle

Arc-transitive Graph
Square free
Edge-transitive Graph
Series
1 Citations
Arc-transitive Graph
Wreath Product
Inclusion
Graph in graph theory
Permutation group

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

Li, C. & Wang, L. 2016 In : Journal of the Australian Mathematical Society. 100, 2, p. 241-251 11 p.

Research output: Contribution to journalArticle

Edge-transitive Graph
Cayley Graph
Abelian group
Complete multipartite Graph
P-groups
2015
1 Citations

Characterising vertex-star transitive and edge-star transitive graphs

Giudici, M., Li, C-H., Seress, Á. & Thomas, A. Feb 2015 In : Israel Journal of Mathematics. 205, 1, p. 35-72

Research output: Contribution to journalArticle

Open Access
File
Star
Graph in graph theory
Vertex of a graph
Transitivity
Symmetry
1 Citations

Edge-primitive tetravalent graphs

Guo, S., Feng, Y. & Li, C-H. May 2015 In : Journal of Combinatorial Theory. Series B. 112, p. 124-137

Research output: Contribution to journalArticle

Graph in graph theory
Cubic Graph
Automorphism Group
Classify
11 Citations

Finite 2-Geodesic Transitive Graphs of Prime Valency

Devillers, A., Jin, W., Li, C-H. & Praeger, C. 2015 In : Journal of Graph Theory. 80, 1, p. 18-27

Research output: Contribution to journalArticle

Automorphism Group
Geodesic
Arc of a curve
Prime Graph
Graph in graph theory
4 Citations

On edge-transitive graphs of square-free order

Li, C-H., Lu, Z. P. & Wang, G. X. 2015 In : Electronic Journal of Combinatorics. 22, 3, p. 1-22

Research output: Contribution to journalArticle

Edge-transitive Graph
Square free
Arc-transitive Graph
Automorphism Group
Graph in graph theory
8 Citations

On geodesic transitive graphs

Jin, W., Devillers, A., Li, C-H. & Praeger, C. 6 Mar 2015 In : Discrete Mathematics. 338, 3, p. 168-173 6 p.

Research output: Contribution to journalArticle

Geodesic
Transitivity
Graph in graph theory
Arc of a curve
Generalized Polygon

On isomorphisms of vertex-transitive cubic graphs

Chen, J., Li, C-H. & Liu, W. J. Dec 2015 In : Journal of the Australian Mathematical Society. 99, 3, p. 341-349 9 p.

Research output: Contribution to journalArticle

Vertex-transitive Graph
Isomorphism Problem
Cubic Graph
Simple group
Automorphisms
3 Citations

On the orders of arc-transitive graphs

Conder, M. D. E., Li, C-H. & Potočnik, P. 1 Jan 2015 In : Journal of Algebra. 421, p. 167-186 20 p.

Research output: Contribution to journalArticle

Arc-transitive Graph
Automorphism Group
Arc of a curve
Orbit
Symmetric Graph
3 Citations

S-Arc-transitive graphs and normal subgroups

Li, C-H., Seress, A. & Song, S-J. 1 Jan 2015 In : Journal of Algebra. 421, p. 331-348 18 p.

Research output: Contribution to journalArticle

Arc-transitive Graph
Normal subgroup
Simple group
Vertex-transitive
Cover
6 Citations

Symmetric cubic graphs with solvable automorphism groups

Feng, Y., Li, C-H. & Zhou, J. 2015 In : European Journal of Combinatorics. 45, p. 1-11

Research output: Contribution to journalArticle

Symmetric Graph
Cubic Graph
Solvable Group
Automorphism Group
Arc of a curve
8 Citations

The vertex-transitive and edge-transitive tetravalent graphs of square-free order

Li, C-H., Lu, Z. P. & Wang, G. X. 2015 In : Journal of Algebraic Combinatorics. 42, 1, p. 25-50

Research output: Contribution to journalArticle

Open Access
Edge-transitive Graph
Vertex-transitive
Square free
Graph in graph theory
Cayley Graph
2014
1 Citations

A characterization of a family of edge-transitive metacirculant graphs

Li, C-H., Pan, J., Song, S-J. & Wang, D. Jul 2014 In : Journal of Combinatorial Theory. Series B. 107, 1, p. 12-25

Research output: Contribution to journalArticle

Edge-transitive Graph
Cayley Graph
Odd
Frobenius Group
Graph in graph theory
2 Citations

Finite locally-primitive complete bipartite graphs

Fan, W., Li, C-H. & Pan, J. Jan 2014 In : Journal of Group Theory. 17, 1, p. 111-129

Research output: Contribution to journalArticle

Complete Bipartite Graph
Factorization

Finite locally-quasiprimitive Graphs

Song, S-J., Li, C-H. & Wang, D. 2014 In : Algebra Colloquium. 21, 4, p. 627-634

Research output: Contribution to journalArticle

1 Citations

Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants

Song, S-J., Li, C-H. & Zhang, H. 2014 In : Journal of Algebra. 399, p. 948-959

Research output: Contribution to journalArticle

Permutation group
Finite Group
Subgroup
Coprime
Odd
1 Citations

Finite vertex-biprimitive edge-transitive tetravalent graphs

Li, C-H. & Zhang, H. 28 Feb 2014 In : Discrete Mathematics. 317, 1, p. 33-43 11 p.

Research output: Contribution to journalArticle

Edge-transitive Graph
Cubic Graph
Graph in graph theory
Vertex of a graph
Automorphism Group
4 Citations

Finite vertex-primitive edge-transitive metacirculants

Li, C-H., Lu, Z. & Pan, J. Nov 2014 In : Journal of Algebraic Combinatorics. 40, 3, p. 785-804 20 p.

Research output: Contribution to journalArticle

Open Access
Vertex of a graph
Series
Business
Form
1 Citations

Local 2-Geodesic Transitivity of Graphs

Devillers, A., Jin, W., Li, C-H. & Seress, A. 2014 In : Annals of Combinatorics. 18, 2, p. 313-325 13 p.

Research output: Contribution to journalArticle

Transitivity
Geodesic
Graph in graph theory
Automorphism Group
Monotone
4 Citations

On finite self-complementary metacirculants

Li, C-H., Rao, G. & Song, S-J. Dec 2014 In : Journal of Algebraic Combinatorics. 40, 4, p. 1135-1144

Research output: Contribution to journalArticle

Automorphism Group
Self-complementary Graph
Cayley Graph
Knowledge
9 Citations

On normal 2-geodesic transitive Cayley graphs

Devillers, A., Jin, W., Li, C-H. & Praeger, C. Jun 2014 In : Journal of Algebraic Combinatorics. 39, 4, p. 903-918 16 p.

Research output: Contribution to journalArticle

Cayley Graph
Geodesic
Complete multipartite Graph
Arc-transitive Graph
Theorem Proving
3 Citations

On Permutation Groups of Degree a Product of Two Prime-Powers

Li, C-H. & Li, X. Dec 2014 In : Communications in Algebra. 42, 11, p. 4722-4743

Research output: Contribution to journalArticle

Permutation group
Primitive Group
Finite Simple Group
Divisor
Subgroup
3 Citations

Self-complementary circulants of prime-power order

Li, C-H., Sun, S. & Xu, J. 2 Jan 2014 In : SIAM Journal on Discrete Mathematics. 28, 1, p. 8-17 10 p.

Research output: Contribution to journalArticle

Open Access
File
Lexicographic Product
Automorphism
Multiplicative
Complement
Subgroup
4 Citations

Self-complementary vertex-transitive graphs of order a product of two primes

Li, C-H. & Rao, G. 2014 In : Bulletin of the Australian Mathematical Society. 89, 2, p. 322-330

Research output: Contribution to journalArticle

Self-complementary Graph
Vertex-transitive
Vertex-transitive Graph
Graph in graph theory
13 Citations

Vertex-transitive cubic graphs of square-free order

Li, C-H., Lu, Z. & Wang, G. Jan 2014 In : Journal of Graph Theory. 75, 1, p. 1-19 19 p.

Research output: Contribution to journalArticle

Vertex-transitive Graph
Square free
Cubic Graph
Mobius band
Generalized Petersen Graph
2013
8 Citations

A characterization of metacirculants

Li, C-H., Song, S. & Wang, D. 2013 In : Journal of Combinatorial Theory Series A. 120, 1, p. 39-48

Research output: Contribution to journalArticle

Open Access
Vertex-transitive
Metacyclic Group
Hamiltonian path
Converse
Automorphism Group
2 Citations

A family of edge-transitive Frobenius metacirculants of small valency

Song, S., Li, C-H. & Wang, D. 2013 In : European Journal of Combinatorics. 34, 2, p. 512-521

Research output: Contribution to journalArticle

Open Access
Frobenius
Graph in graph theory
Frobenius Group
Odd
Family
2 Citations

A family of half-transitive graphs

Chen, J., Li, C-H. & Seress, A. 2013 In : The Electronic Journal of Combinatorics. 20, 1, p. #P56

Research output: Contribution to journalArticle

2 Citations

Finite groups of fourth-power free order

Li, C-H. & Qiao, S. 2013 In : Journal of Group Theory. 16, 2, p. 275-298

Research output: Contribution to journalArticle

Open Access
Biquadrate
Finite Group
Semi-direct product
Indivisible
Form
17 Citations

Line graphs and geodesic transitivity

Devillers, A., Jin, W., Li, C-H. & Praeger, C. 2013 In : ARS Mathematica Contemporanea. 6, p. 13-20

Research output: Contribution to journalArticle

13 Citations

Local 2-geodesic transitivity and clique graphs

Devillers, A., Jin, W., Li, C-H. & Praeger, C. 2013 In : Journal of Combinatorial Theory Series A. 120, p. 500-508

Research output: Contribution to journalArticle

Open Access
6 Citations

Locally 2-arc-transitive complete bipartite graphs

Fan, W., Leemans, D., Li, C-H. & Pan, J. 2013 In : Journal of Combinatorial Theory Series A. 120, 3, p. 683-699

Research output: Contribution to journalArticle

Open Access
Complete Bipartite Graph
Automorphisms
Arc of a curve
Finite Group
3 Citations
2 Citations

On finite 2-path-transitive graphs

Li, C-H. & Zhang, H. 2013 In : Journal of Graph Theory. 73, 2, p. 225-237

Research output: Contribution to journalArticle

Path
Graph in graph theory
Arc of a curve
Arc-transitive Graph
Amalgam
2 Citations

On j-conjugate product of quaternion polynomial matrices

Wu, A., Liu, W., Li, C-H. & Duan, G-R. 2013 In : Applied Mathematics and Computation. 219, 24, p. 11223-11232

Research output: Contribution to journalArticle

Quaternion Matrix
Polynomial Matrices
Polynomials
Necessary Conditions
Sufficient Conditions
4 Citations

The finite edge-primitive pentavalent graphs

Guo, S-T., Feng, Y-Q. & Li, C-H. 2013 In : Journal of Algebraic Combinatorics. 38, 2, p. 491-497

Research output: Contribution to journalArticle

Graph in graph theory
Cubic Graph
Automorphism Group
Classify
Business
2012
2 Citations
1 Citations

Basic and degenerate Pregeometries

Giudici, M., Li, C-H., Pearce, G. & Praeger, C. 2012 In : European Journal of Combinatorics. 33, p. 1178-1189

Research output: Contribution to journalArticle

Open Access
5 Citations

Classifying a family of edge-transitive metacirculant graphs

Song, S-J., Li, C-H. & Wang, D. 2012 In : Journal of Algebraic Combinatorics. 35, 3, p. 497-513

Research output: Contribution to journalArticle

1 Citations

Finite vertex-primitive and vertex-biprimitive 2-path-transitive graphs

Li, C-H. & Zhang, H. 2012 In : Journal of Algebraic Combinatorics. 36, 2, p. 231-246

Research output: Contribution to journalArticle

12 Citations

Locally s-distance transitive graphs

Devillers, A., Giudici, M., Li, C-H. & Praeger, C. 2012 In : Journal of Graph Theory. 69, p. 176-197

Research output: Contribution to journalArticle

8 Citations

On finite permutation groups with a transitive cyclic subgroup

Li, C-H. & Praeger, C. 2012 In : Journal of Algebra. 349, 1, p. 117-127

Research output: Contribution to journalArticle

Open Access
1 Citations

Permutation Groups Containing a Regular Abelian Hall Subgroup

Dobson, E., Li, C-H. & Spiga, P. 2012 In : Communications in Algebra. 40, 9, p. 3352-3539

Research output: Contribution to journalArticle

11 Citations

The edge-transitive tetravalent Cayley graphs of square-free order

Li, C-H., Liu, Z. & Lu, Z. P. 2012 In : Discrete Mathematics. 312, 12-13, p. 1952-1967

Research output: Contribution to journalArticle

Open Access