教授
所在位置 网站首页 > 师资队伍 > 专任教师 > 教授 > 正文
金贤安

职称:Professor

职务:Associate Dean

学历:Ph.D.

电子邮件:xajin@xmu.edu.cn

联系电话:0592-2580632

办 公 室:数理大楼654


 中文版简介

Enrollment information

1. 2-4 graduate students for master’s degree per year (Applied mathematics or pure mathematics);

2. 1-2 graduate students for doctor’s degree per year (Applied mathematics or pure mathematics);

3. Visiting scholars are welcome.

Education

1. 1995.09-1999.07, Xiamen University, Bachelor;

2. 1999.09-2004.07, Xiamen University, Doctor (Supervisor: Prof. Fuji Zhang).

Employment

3. 2004.08-2007.07, Xiamen University, Lecturer/Assistant Professor;

4. 2006.04-2008.03, Peking University, Postdoctor;

5. 2007.08-2012.07, Xiamen University, Associate Professor;

6. 2012.08 up to now, Xiamen University, Full Professor.

Teaching courses

1. Discrete Mathematics;

2. Combinatorial Theory;

3. Linear Algebra;

4. Topology;

5. Graph Theory;

6. Modern Graph Theory;

7. Algebraic Graph Theory;

8. Knot Theory;

9. Graphs on Surfaces--Dualities, Polynomials, and Knots.

Research interests

1. Theories: Graph theory (Algebraic graph theory and topological graph theory), Knot theory (Combinatorial knot theory);

2. Applications: the applications of the above theories in natural sciences such as statistical physics, mathematical chemistry and biology, etc.

Publications

2001年

1. 金贤安, 蕴含三类导出子图的可图序列, 数学研究 34 (2001) 4:394-398.

2003年

2. Xian'an Jin, Fuji Zhang, Zeros of the Jones polynomials for families of pretzel links, Phys. A 328 (2003) 391-408.

2004年

3. 杨维玲, 金贤安, 基圈数为5的2-连通平图的构造, 数学研究 37 (2004) 1:83-95.

4. Xian'an Jin, Fuji Zhang, Jones polynomials and their zeros for a family of links, Phys. A 333 (2004) 183-196.

2005年

5. Xian'an Jin, Fuji Zhang, The Kauffman brackets for equivalence classes of links, Adv. in Appl. Math. 34 (2005) 47-64.

2006年

6. Xian'an Jin, On the coefficients of the flow polynomial, Journal of Xinjiang University 23 Supp. (2006) 53-57. (Dedicated to Professor Fuji Zhang for his 70th birthday.)

7. Xian'an Jin, Tutte polynomials for two recursive families of graphs, J. Math. Study 39 (2006) 4:345-353.

2007年

8. 金贤安, 基于平图的两种有向链环的Homfly多项式, 厦门大学学报(自然版) 46 (2007) 1:1-5.

9. Xian'an Jin, Fuji Zhang, The replacements of signed graphs and Kauffman brackets of link families, Adv. in Appl. Math. 39 (2007) 155-172.

2008年

10. Xian'an Jin, Fuji Zhang, Alexander polynomial for even graphs with reflective symmetry, J. Knot Theory Ramifications 17 (2008) 10:1241-1256.

2009年

11. Xian'an Jin, Fengming Dong, Eng Guan Tay, On graphs determining links with maximal number of components via medial construction, Discrete Appl. Math. 157 (2009) 3099-3110.

12. Xian'an Jin, Fengming Dong, Eng Guan Tay, Determining the component number of links corresponding to lattices, J. Knot Theory Ramifications 18 (2009) 12:1711-1726.

2010年

13. Xian'an Jin, Fuji Zhang, Oriented state model of the Jones polynomial and its connection to the dichromatic polynomial, J. Knot Theory Ramifications 19 (2010) 1:81-92.

14. Xian'an Jin, Fuji Zhang, Homfly polynomials for even polyhedral links, MATCH Commun. Math. Comput. Chem. 63 (2010) 3:657-677.

15. Xian'an Jin, Fuji Zhang, Fengming Dong, Eng Guan Tay, Zeros of the Jones polynomial are dense in the complex plane, Electron. J. Combin. 17 (2010) 1:R94.

16. Xian'an Jin, Fuji Zhang, On computing Kauffman bracket polynomial of Montesinos links, J. Knot Theory Ramifications 19 (2010) 8:1001-1023.

17. Xian'an Jin, Fuji Zhang, Zeros of the Jones polynomial for multiple crossing-twisted links, J. Stat. Phys. 140 (2010) 6:1054-1064.

18. Leping Jiang, Xian’an Jin, On the component number of links corresponding to Sierpinski graphs, Int. Math. Forum 5 (2010) 9:441-447.

19. Leping Jiang, Xian’an Jin, Numbers of left-right paths of two families of 2-dimensional planar lattices, Int. Math. Forum 5 (2010) 26:1247-1255.

2011年

20. 张福基,晏卫根,金贤安, 若干与统计物理有关的组合问题,厦门大学学报(自然版) 2 (2011) 165-174. (Invited)

21. Leping Jiang, Xian'an Jin, Enumeration of left-right paths of square and triangular lattices on some surfaces, J. Math. Study 44 (2011) 3:257-270.

22. Xian'an Jin, Fuji Zhang, The Jones polynomial for polyhedral links, MATCH Commun. Math. Comput. Chem. 65 (2011) 2:501-520.

23. Xian'an Jin, Fuji Zhang, On the location of the Homfly polynomial, J. Stat. Mech. Theory Exp. (2011) P07011.

24. Xian'an Jin, Fuji Zhang, The architecture and the Jones polynomial of polyhedral links, J. Math. Chem. 49 (2011) 2063-2088.

2012年

25. Xian'an Jin, Fuji Zhang, The Homfly and dichromatic polynomials, Proc. Amer. Math. Soc. 140 (2012) 1459-1472.

26. Leping Jiang, Xian'an Jin, Kecai Deng, Determining the component number of links corresponding to triangular and honeycomb lattices, J. Knot Theory Ramifications 21 (2012) 2:1250018, 14 pp.

27. Yuefeng Lin, S. D. Noble, Xian'an Jin, Wenfang Cheng, On plane graphs with link component number equal to the nullity, Discrete Appl. Math. 160 (2012) 1369-1375.

28. Xian'an Jin, Graphical calculi for the Dubrovnik polynomial with applications, J. Knot Theory Ramifications 21 (2012) 10:1250100, 21 pp.

29. Xiaosheng Cheng, Xian'an Jin, The braid index of complicated DNA polyhedral links, PLoS One 7 (2012) 11: e48968.

2013年

30.  林跃峰,金贤安,G-极大图与G-次极大图的构造与判定算法, 数学进展 42 (2013) 6:817-822.

31. Jun Ge, Xian'an Jin, The Homfly polynomial of classical pretzel links and its application to chirality, J. Knot Theory Ramifications 22 (2013) 13:1350076, 16 pp.

2014年

32. Xiao-Sheng Cheng, Heping Zhang, Xian'an Jin, Wen-Yuan Qiu, Ear decomposition of 3-regular polyhedral links with applications, J. Theoret. Biol. 359 (2014) 146-154.

33. Helin Gong, Xian'an Jin, Potts model partition functions on two families of fractal lattices, Phys. A 414 (2014) 143-153.

34. Wenfang Cheng, Xian'an Jin, Nana Zhao, Any 11-colorable knot can be colored by six colors, J. Knot Theory Ramifications 23 (2014) 12:1450062, 25 pp.

2015年

35. Meilian Li, Qingying Deng, Xian'an Jin, A general method for computing the Homfly polynomial of DNA double crossover 3-regular links , PLoS ONE 10 (2015)5:e0125184.

36. Xian'an Jin, Xiao-Sheng Cheng, Topological chirality of a type of DNA and protein polyhedral links, J. Math. Chem. 53 (2015) 8:1791-1807.

37. Fengming Dong, Xian'an Jin, Zeros of Jones polynomials of graphs, Electron. J. Combin. 22 (2015) 3:#P3.23.

2016年

38. Helin Gong, Xian'an Jin, Fuji Zhang, Tutte polynomials for benzenoid systems with one branched hexagon, J. Math. Chem. 54 (2016) 5: 1057-1071. (Erratum:J. Math. Chem. 54 (2016) 1748–1749.)

39.  Zhibo Chen, Xiaofeng Guo, Xian’an Jin, Xueliang Li, Heping Zhang, Fuji Zhang’s Work in Mathematical Chemistry, MATCH Commun. Math. Comput. Chem. 76 (2016) 3:535-552. (Invited)

40. Xian'an Jin, A survey on several invariants of three types of polyhedral links, MATCH Commun. Math. Comput. Chem. 76 (2016) 3:569-594. (Dedicated to Professor Fuji Zhang for his 80th birthday.)

2017年

41. Jing Wang, Xian'an Jin, Meng Ji, On the existence of F-strong trace of a graph when F induces a forest, MATCH Commun. Math. Comput. Chem. 77 (2017) 3:799-812.

42. Helin Gong, Xian'an Jin, A general method for computing Tutte polynomials of self-similar graphs, Phys. A 483 (2017) 117-129.  

43. Jun Ge, Xian'an Jin, L. H. Kauffman, P. Lopes, Lianzhu Zhang, Minimal Sufficient Sets of Colors and Minimum Number of Colors, J. Knot Theory Ramifications 26 (2017)9: 1743008, 16 pp.

44. Meiqiao Zhang, Xian'an Jin, Qingying Deng, The minimal coloring number of any non-splittable Z-colorable link is four, J. Knot Theory Ramifications 26 (2017)13:1750084, 18 pp.

2018年

45. Metrose Metsidik, Xian'an Jin, Eulerian Partial Duals of Plane Graphs, J. Graph Theory 87 (2018) 509–515.

46.  Xiaoli Ma, Baoyindureng Wu, Xian'an Jin, Edge-disjoint spanning trees and the number of maximum state circles of a graph, J. Comb. Optim. 35 (2018)  997–1008.

47. Helin Gong, Xian'an Jin, A simple formula for the number of the spanning trees of line graphs, J. Graph Theory 88 (2018) 294-301.

48. Qingying Deng, Xian'an Jin, Fengming Dong, Eng Guan Tay, Even subgraph expansions for the flow polynomial of planar graphs with maximum degree at most 4, Electron. J. Combin. 25 (2018)2:Paper No. 2.7, 23 pp.

49. Jun Ge, Xian'an Jin, Louis H Kauffman, Pedro Lopes, Lianzhu Zhang, Answer to a Question by Nakamura, Nakanishi, and Satoh involving crossing numbers of knots, Osaka J. Math. 55 (2018)3: 523-527.

50. Qingying Deng, Xian'an Jin, Louis H. Kauffman, Graphical virtual links and a polynomial for signed cyclic graphs, J. Knot Theory Ramifications 27 (2018)10: 1850054, 14 pp.

2019年

51. Qi Yan, Xian'an Jin, Extremal embedded graphs, Ars Math. Contemp. 17 (2019)2: 637–652.

52. Qingying Deng, Xian'an Jin, Louis H. Kauffman, The generalized Yamada polynomials of virtual spatial graphs, Topology Appl. 256 (2019) 136–158.

2020年

53. Xian'an Jin, Qi Yan, Two graphical models of the Kauffman polynomial and their relationship, Topology Proc. 55 (2020) 45–64.

54. Qingying Deng, Xian'an Jin, Metrose Metsidik, Characterizations of bipartite and Eulerian partial duals of ribbon graphs, Discrete Math. 343 (2020)1: 111637, 8 pp.

55. Helin Gong, Mengchen Li, Xian'an Jin, Several extreme coefficients of the Tutte polynomial of graphs, Graphs Combin. 36 (2020)3: 445–457.

56.  Metrose Metsidik, Xian'an Jin, Eulerian and even-face ribbon graph minors, Discrete Math. 343 (2020)9: 111953, 9 pp.

2021年

57. Qi Yan, Xian'an Jin, Counterexamples to a conjecture by Gross, Mansour and Tucker on partial-dual genus polynomials of ribbon graphs, European J. Combin. 93 (2021) 103285, 12 pp.

58. Xia Guo, Xian'an Jin, Qi Yan, Characterization of regular checkerboard colourable twisted duals of ribbon graphs, J. Combin. Theory Ser. A 180 (2021) 105428, 22 pp.

59. Tianlong Ma, Xian'an Jin, Fuji Zhang, Tutte polynomials of fan-like graphs with applications in benzenoid systems, Appl. Math. Comput. 411 (2021) 126496, 13 pp.

60. Xian'an Jin, Jun Ge, Xiaosheng Cheng, Yuqing Lin, The Number of Circles of a Maximum State of a Plane Graph with Applications, Acta Math. Appl. Sin. Engl. Ser. 37 (2021)2: 409-420.

61. Weiling Yang, Xian'an Jin, Fuji Zhang, Line graph links, Acta Math. Appl. Sin. Engl. Ser. 37 (2021)4: 706-716.

62. 钱建国,金贤安,杨维玲,图论中的计数理论及其应用,厦门大学学报(厦门大学百年校庆专辑)3 (2021) 453-460. (Invited)

63. 金贤安,记恩师张福基先生,我的厦大老师—--百年华诞纪念专辑(李建发主编),厦门大学出版社,2021年,154-157。

64. Qingying Deng, Xian'an Jin, Louis H. Kauffman, On arrow polynomials of checkerboard colorable virtual links, J. Knot Theory Ramifications 30 (2021)7: 2150053, 17 pp.

2022年+

65. Qi Yan, Xian'an Jin, Counterexamples to the interpolating conjecture on partial-dual genus polynomials of ribbon graphs, European J. Combin., 102 (2022) 103493, 7 pp.

66. Qi Yan, Xian'an Jin, Checkerboard colourable twuals, Acta Math. Sin. Engl. Ser. 38 (2022) 3:612–622.

67. Xiaotong Li, Xian’an Jin, Qi Yan, The Ihara-zeta function and the spectrum of the join of two semi-regular bipartite graphs, Graphs Combin. 38 (2022)3: 82, 18 pp.

68. Qi Yan, Xian'an Jin, Twist polynomials of delta-matroids, Adv. in Appl. Math. 139 (2022) 102363, 12pp.

69. Xia Guo, Xian'an Jin, Qi Yan, Excluded checkerboard colourable ribbon graph minors, Discrete Math. 345 (2022)10: 112992, 10pp.

70. Qi Yan, Xian'an Jin, A-trails of embedded graphs and twisted duals, Ars Math. Contemp. 22 (2) (2022) #2.06, 16pp.

71. Xuemei Chen, Xian'an Jin, Weigen Yan, Enumeration of spanning trees of middle digraphs, Linear Multilinear Algebra, accepted.  DOI: 10.1080/03081087.2021.1994911

72. Ruiling Zheng, Xian'an Jin, Qi Yan, Twuality: a new direction and recent works, Adv. Math. (China) 51(4) (2022) 577-597. (invited)

73. Qi Yan, Xian'an Jin, Eulerian and bipartite binary delta-matroids, Acta Math. Appl. Sin. Engl. Ser. 38(4) (2022) 813–821.

74. Qi Yan, Xian'an Jin, Partial-dual polynomials and signed intersection graphs, Forum Math. Sigma 10 (2022) e69 1–16.

75. 颜棋,金贤安,非插值部分对偶亏格多项式的新结果,数学学报,已接受。


76. Xian’an Jin, Fuji Zhang, Jun Ge, When will the crossing number of an alternating link decrease by two via a crossing change? Revised.

77. Qingying Deng, Xian’an Jin, Louis H. Kauffman, Projectors in the Virtual Temperley-Lieb Algebra, submitted.

78. Qi Yan, Xian'an Jin, Twisted monomials of binary delta-matroids, submitted. arXiv: 2205.03487.

79. Qi Yan, Xian’an Jin, Partial-twuality polynomials of delta-matroids, arXiv:2210.15273v1.

80. Xia Guo, Xian’an Jin, Qi Yan, Several new results on partial-twuality polynomials, submitted.

81. Xia Guo, Xian’an Jin, Jiyong Chen, Degree sequences for k-regulable ribbon realizations, submitted.

82. Ruiling Zheng, Xian'an Jin, Arithmetic-Geometric matrix of graphs and its applications, submitted, arXiv:2105.03884.

83. Ruiling Zheng, Xian'an Jin, Arithmetic-Geometric spectral radii of unicyclic graphs, submitted.

84. Ruiling Zheng, Xiaxia Guan, Xian’an Jin, Extremal trees and unicyclic graphs with respect to spectral radius of restrictedly weighted adjacency matrices, submitted.

85. Xiaxia Guan, Xian’an Jin, On the polymatroid Tutte polynomial, submitted.

86. Xiaxia Guan, Xian’an Jin, On coefficients of the interior and exterior polynomials, submitted.

87. Xiaxia Guan, Xian’an Jin, Tianlong Ma, A direct and elementary proof of the well-definedness of the interior and exterior polynomials of hypergraphs, submitted.

Research Projects

1. Jones polynomials and the distributions of their zeros, The National Natural Science Foundation of China (Young Scientists Fund), Principal Investigator, January 2006-December 2008;

2. Applied graph theory, The National Natural Science Foundation of China (Key Program), member, January 2009-December 2012;

3. Link invariants and their applications, The Fundamental Research Funds for the Central Universities, Principal Investigator, October 2010-September 2013;

4. Graphs, knots and mathematical chemistry, The Fundamental Research Funds for the Central Universities, Principal Investigator, January 2012-December 2014;

5. The state model for the Kauffman polynomial and its applications, The Natural Science Foundation of Fujian Province of China (General Program), Principal Investigator, January 2012-December 2014;

6. Polynomial invariants of knots and graphs, The National Natural Science Foundation of China (General Program),Principal Investigator, January 2013-December 2016;

7. Ribbon graphs, polynomials and knots, The President’s Fund Project of Xiamen University, Principal Investigator, January 2016-December 2018;

8. Ribbon graphs, knots and invariants, The National Natural Science Foundation of China (General Program), Principal Investigator, January 2017-December 2020;

9. Several problems in the interdisciplinary field of graphs and knots, The National Natural Science Foundation of China (General Program), Principal Investigator, January 2022-December 2025.

Activities and Talks (International)

2006

1. Attending the International Conference on Applied Combinatorics and Graph Theory (for celebrating the 70th birthday of Prof. Fuji Zhang), Xiamen University, Xiamen, China, December 21-24, 2006;

2007

2. Visiting Nanyang Technological University as a visiting scholar, Singapore, August-November, 2007;

2008

3. Visiting Nanyang Technological University as a visiting scholar, Singapore, August-September, 2008;

2011

4. Visiting Lafayette College as a visiting scholar, supported by CSC, Easton, USA, May-November, 2011;

5. Visiting Saint Louis University, Saint Louis, USA, October 19-21, 2011;

6. Attending the International Conference on Discrete Mathematics and Its Applications as an invited speaker (30minutes), Academia Sinica, Taipei, China, December 11-15, 2011;

2012

7. Visiting Nanyang Technological University as a visiting professor, Singapore, May-July 2012;

8. Attending the Shanghai Conference on Algebraic Combinatorics (20 minutes talk), Shanghai Jiao Tong University, Shanghai, China, August 17-22, 2012;

9. Attending the ICTP-IPM Workshop and Conference in Combinatorics and Graph Theory (15 minutes talk), ICTP, Trieste, Italy, September 2-15, 2012;

10. Attending the Thailand-Japan Joint Conference on Computational Geometry and Graphs 2012, Bangkok, Thailand, November 6-8, 2012;

2013

11. Visiting University of Newcastle, NSW, Australia, August 4-10, 2013;

12. Attending the 8th GraphMaster Workshop as an invited speaker (45 minutes), ITB, Bandung, Indonesia, November 16-17, 2013;

2014

13. Visiting University of Newcastle, NSW, Australia, January 27-February 14, 2014;

14. Organizing the International Symposium on Graph Polynomials and their Applications, June 27-30, 2014;

15. Visiting Cardiff University, Cardiff, Wales, UK, September 6-11, 2014.

2015

16. Visiting Nanyang Technological University as a visiting professor, Singapore, March 08-April 03, 2015;

17. Attending the 2015 International Conference on Graph Theory (In Honor of Adrian Bondy’s 70th Birthday) (30 minutes talk), Fuzhou, Fujian, China, April 17-20, 2015;

18. Attending the 11th meeting of the International Academy of Mathematical Chemistry and the 8th Slovenian Conference on Graph Theory (20 minutes talk), Kranjska Gora, Slovenia, June 17-29, 2015;

19. Attending the 6th International Symposium on Graph Theory and Combinatorial Algorithms as an Invited speaker (30 minutes), Lanzhou, Gansu, China, July 17-20, 2015;

20. Visiting National University of Singapore and Nanyang Technological University, Singapore, September 06-12, 2015;

2016

21. Attending the 11th East Asian School of Knots and Related Topics as (20-minutes talk), Osaka City University, Osaka, Japan, January 24-30, 2016;

22. Visiting Nanyang Technological University as a visiting professor, Singapore, March 27-April 8, 2016;

23. Organizing the Workshop on Graphs and Knots, June 24-28, 2016;

24. Attending the 7th Asian Mathematical Conference, the 8th Group "Combinatorial Graph Theory" as an invited speaker (35-minutes), Bali, Indonesia, July 23-30, 2016;

25. Organizing the 2016 Conference on Advances in Combinatorics and Related Topics, December 23-27, 2016;

2017

26. Attending the 12th East Asian School of Knots and Related Topics, The University of Tokyo, Tokyo, Japan, February 12-17, 2017;

27. Attending the 2017 International Conference on Combinatorics as an invited speaker (45-minutes), Institute of Mathematics, Academia Sinica, Taipei, China, May 18-23, 2017;

28. Visiting Nanyang Technological University as a visiting professor, July 31-August 19, 2017;

29. Visiting The University of Poitiers and Bordeaux, France, September 06-14, 2017;

30. Invited to attend the Tutte Centenary Retreat, Australia, November 25 - December 3 , 2017;

2018

31. Organizing the 3rd Workshop on Graphs and Knots, June 08-11, 2018;

32. Attending the 33rd Summer Conference on Topology and its Applications as an semi-plenary speaker (55 minutes), Western Kentucky University, Bowling Green, USA, July 15-22, 2018;

33. Attending the Joint International Meeting organized by the Chinese Mathematical Society and American Mathematical Society (30 minutes talk), Fudan University, Shanghai, China, June 11-14, 2018;

34. Visiting Georgia Institute of Technology, USA,October 2018;

35. Visiting Xiamen University Malaysia, December 2018;

2019

36. Attending the International Conference on Graph Theory and Combinatorics (25 minutes talk), Beijing Jiaotong University, Beijing, March 1-4, 2019;

37. Attending the HKMS annual meeting (30 minutes talk), The Chinese University of Hong Kong, Hong Kong, China, May 24-26, 2019;

38. Attending the 9th Slovenian International Conference on Graph Theory (20 minutes talk), Bled, Slovenia, June 24-28, 2019;

2021

39. Invited to attend the AMS special session, Topological Perspectives in Graph Theory, Classical and Recent conference, virtual meeting, USA, May 2021.

Services

1. Head, Department of Mathematics and Applied Mathematics, from February 2013 to June 2018;

2. Associate Dean, School of Mathematical Sciences, from September 2017 up to now;

Students

1. Xiaosheng Cheng (Postdoctor, September 2013-July 2014, Huizhou University);

2. Meilian Li (Visiting scholar, September 2013-July 2014, Longyan College);

3. Jing Wang (Visiting scholar,March 2015-February 2016, Changsha University);

4. Tianlong Ma (Visiting scholar,September 2019-August 2020);

5. Shuli Li (Visiting scholar,September 2020-August 2021, Quanzhou Normal University);

6. Helin Gong (Ph. D. student, September 2013-June 2016, Shaoxing University of Arts and Sciences);

7. Metrose Metisk (Ph. D. student, September 2013-June 2017, Xinjiang Normal University);

8. Qingying Deng (Ph. D. student, September 2014-September 2018, Xiangtan University);

9. Qi Yan (Ph. D. student, September 2016-September 2020, China University of mining and Technology);

10. Xiaowang Li (Ph. D. student, September 2017 June 2021, Henan University of technology);

11. Tao Wang (Ph. D. student, September 2017 to June 2019);

12. Muhammad Asif (Ph. D. student, September 2017-);

13. Xia Guo Ph. D. student, (September 2018-);

14. Xiaxia Guan (Ph. D. student, September 2019-);

15. Ruiling Zheng (Ph. D. student, September 2019-);

16. Tianlong Ma (Ph. D. student, September 2020-);

17. Jingyuan Zhang (Ph. D. student, September 2020-);

18. Jiajun Ning (Ph. D. student, September 2021-);

19. Gang Zhang (Ph. D. student, September 2021-).

20. Qiuyue Tan (Master student, September 2007-December 2010, Wuyi University);

21. Yuefeng Lin (Master student, September 2008-May 2011, Zhangzhou City Vocational College);

22. Wenyi Zhang (Master student, September 2008-May 2011);

23. Leping Jiang (Master student, September 2008-May 2011)

24. Wenfang Cheng (Master student, September 2008-June 2013);

25. Shuyu Lin (Master student, September 2008-June 2013);

26. Jun Ge (Master student, September 2010-June 2012, Sichuan Normal University);

27. Xixi Yuan (Master student, September 2009-June 2013);

28. Yujuan Lei (Master student, September 2010-June 2013, Xiamen University);

29. Mengchen Li (Master student, September 2014-June 2017);

30. Meng Ji (Master student, September 2014-June 2017, Tianjin Normal University);

31. Li Xiaotong (Master student, September 2018-June 2021, Yancheng Institute of Technology);

32. Chen Xuemei (Master student, September 2018-June 2021);

33. Ning Jiajun (Master student, September 2019-June 2021);

34. Shengran Li (Master student, September 2019-);

35. Fangting Lin (Master student, September 2019-);

36. Qiuchen Wang (Master student, September 2020-);

37. Jinchi Guo (Master student, September 2020-);

38. Kefu Zhu (Master student, September 2020-);

39. Jungang Chen (Master student, September 2020-);

40. Jinding Jiang (Master student, September 2020-);

41. Xiuqing Li (Master student, September 2021-);

42. Yirui Huang (Master student, September 2021-);

43. Huijie Shen (Master student, September 2021-);

44. Wenyu Liao (Master student, September 2021-);

45. Zhuo Li (Master student, September 2021-).