Professor in applied mathematics

Head of Department of Mathematics and Applied Mathematics,

School of Mathematical Sciences,

Xiamen University

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## Brief CV

### Personal information

Sex: male

Born: Feb 22,1976, Shandong

Marital status: married, one son

E-mail: xajin@xmu.edu.cn

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### Education

1995.09-1999.07, Xiamen University, Bachelor

1999.09-2004.07, Xiamen University, Doctor (under the supervision of Professor Fuji Zhang)

2006.04-2008.03, Peking University, Post-Doctor (under the supervision of Academician Boju Jiang)

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### Employment

2004.08-2007.07, Xiamen University, Lecturer/Assistant Professor

2007.08-2012.07, Xiamen University, Associate Professor

2012.08 up to now, Xiamen University, Full Professor

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### Research interests

Graph theory

Combinatorial knot theory

Their applications in physics, chemistry and biology etc.

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### Research projects

1.Jones polynomials and the distributions of their zeros, NSFC (No. 10501038),140,000, Principal Investigator, 01/2006-12/2008.

2.Applied graph theory, The State Key Program of National Natural Science Foundation of China (No. 10831001), 1,350,000, Investigator, 01/2009-12/2012.

3.Link invariants and their applications, The Fundamental Research Funds for the Central Universities (No. 2010121007), 150,000, Principal Investigator,10/2010-09/2013.

4.Graphs, knots and mathematical chemistry, The Fundamental Research Funds for the Central Universities (No. 2012121002), 750,000, Principal Investigator,01/2012-12/2014.

5.The state model for the Kauffman polynomial and its applications, Natural Science Foundation of Fujian Province of China (No. 2012J01019), 30,000,Principal Investigator, 01/2012-12/2014.

6.Polynomial invariants of knots and graphs, NSFC (No. 11271307), 600,000,Principal Investigator, 01/2013-12/2016.

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### Publications

#### 2001

[1] Xian'an Jin, On Potentially $A_w^1,A_w^2$ and $A_{r_1,r_1,\cdots,r_k}$-Graphic Sequences, Journal of Mathematical Studies 34 (2001) 2:394-399 (in Chinese).

#### 2003

[2] Xian'an Jin*, Fuji Zhang, Zeros of the Jones polynomials for families of pretzel links, Physica A-Statistical Mechanics and Its Applications 328 (2003) 391-408. (SCI)

#### 2004

[3] Weiling Yang, Xian'an Jin, The Construction of 2-Connected Plane Graph with Cyclomatic Number 5, Journal of Mathematical Studies 37 (2004) 1:83-96 (in Chinese).

[4] Xian'an Jin*, Fuji Zhang, Jones polynomials and their zeros for a family of links, Physica A-Statistical Mechanics and Its Applications 333 (2004) 183-196. (SCI)

#### 2005

[5] Xian'an Jin*, Fuji Zhang, The Kauffman brackets for equivalence classes of links, Advances in Applied Mathematics 34 (2005) 47-64. (SCI)

#### 2006

[6] Xian'an Jin, On the coefficients of the flow polynomial, Journal of Xinjiang University 23 Supp. (2006) 53-57.

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

#### 2007

[8] Xian-an Jin, Homfly Polynomials of Two Kinds of Oriented Links Based on Plane Graphs, Journal of Xiamen University 46 (2007) 1:1-5 (in Chinese).

[9] Xian'an Jin*, Fuji Zhang, The replacements of signed graphs and Kauffman brackets of link families, Advances in Applied Mathematics 39 (2007) 155-172. (SCI)

#### 2008

[10] Xian'an Jin*, Fuji Zhang, Alexander polynomial for even graphs with reflective symmetry, Journal of Knot Theory and its Ramifications 17 (2008) 10:1241-1256. (SCI)

#### 2009

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

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

#### 2010

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

[14] Xian'an Jin*, Fuji Zhang, Homfly polynomials for even polyhedral links,MATCH communications in Mathematical and in Computer Chemistry 63 (2010) 3:657-677. (SCI)

[15] Xian'an Jin*, Fuji Zhang, Fengming Dong, Eng Guan Tay, Zeros of the Jones polynomial are dense in the complex plane, The Electronic Journal of Combinatorics 17 (2010) 1:R94. (SCI)

[16] Xian'an Jin*, Fuji Zhang, On computing Kauffman bracket polynomial of Montesinos links, Journal of Knot Theory and its Ramifications 19 (2010) 8:1001-1023. (SCI)

[17] Xian'an Jin*, Fuji Zhang, Zeros of the Jones polynomial for multiple crossing-twisted links, Journal of Statistical Physics 140 (2010) 6:1054-1064. (SCI)

[18] Leping Jiang, Xian’an Jin, On the component number of links corresponding to Sierpinski graphs, International Mathematical 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, International Mathematical Forum 5 (2010) 26:1247-1255.

#### 2011

[20] Fuji Zhang, Weigen Yang, Xian'an Jin, Some combinatorial problems in statistical physics, Journal of Xiamen University, 2 (2011) 165-174 (in Chinese) invited.

[21] Leping Jiang, Xian'an Jin, Enumeration of left-right paths of square and triangular lattices on some surfaces, Journal of Mathematical Studies 44 (2011) 3:257-270.

[22] Xian'an Jin*, Fuji Zhang, The Jones polynomial for polyhedral links, MATCH communications in Mathematical and in Computer Chemistry 65 (2011) 2:501-520. (SCI)

[23] Xian'an Jin*, Fuji Zhang, On the location of the Homfly polynomial, Journal of Statistical Mechanics: Theory and Experiment (2011) P07011. (SCI)

[24] Xian'an Jin*, Fuji Zhang, The architecture and the Jones polynomial of polyhedral links, Journal of Mathematical Chemistry 49 (2011) 2063-2088. (SCI)

#### 2012

[25] Xian'an Jin*, Fuji Zhang, The Homfly and dichromatic polynomials, Proceedings of the American Mathematical Society 140 (2012) 1459-1472. (SCI)

[26] Leping Jiang, Xian'an Jin*, Kecai Deng, Determining the component number of links corresponding to triangular and honeycomb lattices, Journal of Knot Theory and its Ramifications 21 (2012) 2:1250018, 14 pages. (SCI)

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

[28] Xian'an Jin*, Graphical calculi for the Dubrovnik polynomial with applications, Journal of Knot Theory and its Ramifications 21 (2012) 10:1250100, 21 pages. (SCI)

[29] Xiao-Sheng Cheng, Xian'an Jin*, The braid index of complicated DNA polyhedral links, PLoS One, 7 (2012) 11: e48968 (SCI).

#### 2013

[30] Yuefeng Lin, Xian'an Jin, The constructions and the judgement algorithms about G-extremal graphs and G-near-extremal graphs, Advances in Mathematics (China), 42 (2013) 6:817-822.（in Chinese).

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

#### 2014

[32] Xiao-Sheng Cheng*, Heping Zhang, Xian'an Jin, Wen-Yuan Qiu, Ear decomposition of 3-regular polyhedral links with applications, Journal of Theoretical Biology 359 （2014）146-154. (SCI)

[33] Helin Gong, Xian'an Jin*, Tutte polynomials of the modified Koch graphs and Australia graphs, Physica A：Statistical Mechanics and its Applications, 414 （2014）143-153. (SCI)

[34] Wenfang Cheng, Xian'an Jin*, Nana Zhao, Any 11-colorable knot can be colored by six colors, Journal of Knot Theory and its Ramifications, 23 (2014) 12:1450062 （25pages). (SCI)

#### 2015

[35] Meilian Li, Qingying Deng, Xian'an Jin*, A general method for computing the Homfly polynomial of the double crossover DNA hexahedral link, submitted.

[36] Xian'an Jin, Xiao-Sheng Cheng*, Topological chirality of a type of DNA and protein polyhedral links, Journal of Mathematical Chemistry, 53 (2015) 8:1791-1807. (SCI)

[37] Xian'an Jin*, Jun Ge, Xiao-Sheng Cheng, Yuqing Lin, The number of circles of a maximum state of a plane graph with applications, Acta Mathematicae Applicatae Sinica, acceptted.

[38] Fengming Dong, Xian'an Jin*, Zeros of Jones polynomials of graphs, The Electronic Journal of Combinatorics, 22 (2015) 3:#P3.23. (SCI)

[39] Weiling Yang, Fuji Zhang*, Xian'an Jin, Line graph links, Acta Mathematicae Applicatae Sinica, acceptted.

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### Talks, meetings & academic visitings

1. Visiting scholar at Mathematics & Mathematics Education, National Institute of Education, Nanyang Technological University,Singapore, from August to November (3 months), 2007.

2. Visiting scholar at Mathematics & Mathematics Education, National Institute of Education, Nanyang Technological University,Singapore, from August to September (1 month), 2008.

3. Attending the 2009 International and Fifith Cross-Strait Conference on Graph Theory and Combinatorics, Nankai University, Tianjin, in July 2009.

4. Attending the International Conference on Graph Theory, Combinatorics and Applications, Zhejiang Normal University, Jinhua, Zhejiang,in October 2010.

5. Visiting Shandong University, Ji’nan, Shandong, in November 2010.

6. Visiting scholar at Lafayette College,USA, from May to November (6 months), 2011.

7. Visiting Saint Louis University, USA, from October 19 to 21, 2011.

8. Attending the Conference on Applications of Statistical, Topological and Algebraic Methods to Combinatorics, Xiamen University, Xiamen, Fujian, from November 18 to 21, 2011.

9. Attending the 2011 International Conference on Discrete Mathematics and Its Applications as an invited speaker (30 minutes), Institute of Mathematics, Academia Sinica, Taipei, from December 12 to 14, 2011.

10. Visiting Yunnan University, Kunming, Yunnan, from April 25 to 28,2012.

11. Visiting professor at Mathematics & Mathematics Education, National Institute of Education, Nanyang Technological University,Singapore, from May to July (2 months), 2012.

12. Attending the Shanghai Conference on Algebraic Combinatorics, Shanghai Jiaotong University, Shanghai, from August 17 to 22, 2012.

13. Attending the joint seminar with Tongji and Zhongshan (Taiwan) universities, Xiamen, Fujian, on August 30, 2012.

14. Visting Hunan University, Changsha, Hunan, in August, 2012.

15. Attending ICTP-IPM Workshop and Conference in Combinatorics and Graph Theory, ICTP, Trieste, Italy, from September 3 to 14, 2012.

16. Attending Thailand-Japan Joint Conference on Computational Geometry and Graphs, Bangkok, Thailand, from November 6 to 8, 2012.

17. Attending Workshop on Chemical Graph Theory and Combinatorics, Xiamen University, Xiamen, Fujian, from Jan 11 to 13, 2013.

18. Visiting Shanghai Jiao Tong University, Shanghai, from May 10 to 13, 2013.

19. Visiting Northwestern Polytechnical University, Xi’an, Shannxi, from May 25 to 27, 2013.

20. Attending 2013 International Conference on Algebraic Graph Theory and its Applications as an invited speaker (25 minutes), Qinghai Normal University, Xining, Qinghai, from July 28 to 31, 2013.

21. Visiting the University of Newcastle, NSW, Australia, from August 4 to 10, 2013.

22. Visiting Hunan Normal University and Hunan University, Changsha, Hunan, from September 29 to October 3, 2013.

23. Attending the 2013 annual conference of Chinese Mathematical Society as an invited speaker (40 minutes), Taiyuan, Shanxi, from October 12 to 14, 2013.

24. Visiting the University of Newcastle, NSW, Australia, from 27 Jan to 15 Feb, 2014.

25. Attending the 8th GraphMaster Workshop as an invited speaker (45 minutes), ITB, Bandung, Indonesia, from November 16 to 17, 2013.

26. Attending Workshop on Graphs and Hypergraphs, Linyi University，Linyi, Shandong, form April 11 to 14, 2014.

27. Attending the Second Symposium on Combinatorics and Graph Theory, Hunan University, Changsha, Hunan, from May 31 to June 2, 2014.

28. Visiting Minnan Normal University, Zhangzhou, Fujian, on 24 June, 2014.

29. Attending the Symposium on Graph Theory and its Applications,Taiyuan University of Technology, Taiyuan, Shanxi,from July 3 to 6, 2014.

30. Attending the Symposium on Graph Theory and Combinatorial Optimization, Naikai University, Tianjin, from July 18 to 21, 2014.

31. Visiting Guizhou Minzu University, Guiyang, Guizhou, from 21 July to August 9, 2014, as a training teacher of the course “Graph Theory”.

32. Attending China-Russia Workshop on Knot Theory and Related Topics, Peking University, from August 28 to 31, 2014.

33. Visiting Central China Normal University, Wuhan, Hubei, from October 30 to 31, 2014.

34. Attending the Sixth Conference on Combinatorics and Graph Theory as an invited speaker (30 minutes), Guangzhou, Guangdong, from November 7 to 10, 2014.

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### Honors

1. One of Youth Cadreman Teachers, the Sixth Group, Xiamen University, 2005.

2. Excellent Doctoral Dissertation, First Class Award, Xiamen University and Second Class Award, Fujian Province, 2006.

3. Excellent Advisor of Mathematical Modeling, Fujian Province, 2011.

4. Academician Zhaowu Tian’s Prize on Interdisciplinary Research (team), Xiamen University, First Class Award, 2014.

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### Meeting Organizations

I organized the following two meetings in Xiamen University.

1. The Symposium on Combinatorics and Graph Theory, from March 20 to 23, 2014.

2. International Symposium on Graph Polynomials and their Applications，from June 27 to 30,2014.

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### Talents cultivation

1. Postdoctors

Xiaosheng Cheng (2012.05-2014.04)

2. Visiting scholars

Meilian Li (2013.09-2014.07)

3. Ph. D. students

Metrose Metisk (2013.09-)

Helin Gong (2013.09-)

Qingying Deng (2014.09-)

4. Master students

Qiuyue Tan (2007.09-2010.12)

Yuefeng Lin (2008.09-2011.05)

Wenyi Zhang (2008.09-2011.05)

Leping Jiang (2008.09-2011.05)

Wenfang Cheng (2008.09-2013.06)

Shuyu Lin (2008.09-2013.06)

Jun Ge (2010.09-2012.07)

Xixi Yuan (2010.09-2013.06)

Yujuan Lei (2010.09-2013.06)

Mengchen Li (2014.9-)

Meng Ji (2014.9-).