From 1982 to 1993, he mainly engaged in the research of group theory and its application, and completely solved six public problems put forward by Podufalov, Glauberman, Mazurov, Peng, Mukhin and Sergienko. His achievements were published in authoritative journals (SCI) at home and abroad, such as J. Pure and Applied Algebra and China Science. After peer experts' evaluation, it is considered that it has reached the international advanced level, and it has independently won the first prize for excellent papers of Fujian Association for Science and Technology 1990- 1992 and the third prize for scientific and technological progress of the State Education Commission 1996.

Since 1994, he has been mainly engaged in the research of discrete mathematics, parallel computer interconnection structure and parallel algorithm, complex network and wireless network. Important achievements have been made in the study of symmetry of graphics and other structures, which have been published by the international authoritative journal (SCI) Discrete Applied Mathematics (see the main paper catalogue [15- 16, 19]). A series of important achievements have been made in the research of algebraic graph theory and electrical network, which have been published in international authoritative journals (SCI), such as Z. Naturforschung and Theoretical Chemistry Accounts (see the main paper catalogue [24,29-31]). A series of important achievements have been made in the research of parallel computer interconnection network, parallel algorithm and network load balancing, some of which have been published in authoritative magazines or collections (SCI), IEEE Transactions on Computers and J. Computer and System Sciences at home and abroad. IEEE Transactions on Parallel and Distributed Systems, International J. Computer Mathematics, J. Computer Science and Technology, Lectures on Computer Science, etc. (See the main paper catalogue [1-7, 10- 14,17-/kloc-0. In [6], we obtain the distance between nodes and the optimal routing algorithm for a class of staggered group networks. In [7], we obtained the conditions of network pruning by the method of group theory, and treated the network pruning uniformly. Important achievements have been made in the research of complex networks and peer-to-peer networks, some of which were published in Information Processing Express, a retrieval magazine of SCI (see the main paper catalogue [8-9, 16]). In addition, eight papers, including IEEE Transactions on Computers, Discrete Applied Mathematics and IEEE Transactions on Parallel and Distributed Systems, have been submitted to international authoritative journals (SCI) and are being reviewed (some of them have been accepted). 1. Chen Weide, Xiao Weijie, Pahami, the switching (OTIS) network based on connected base network has the greatest fault tolerance, and IEEE parallel and distributed systems are acceptable.

2. Xiao Wenjie, Wei Wenhui, Chen Wende, He Mingxiang and Pahami, "Small Diameter Interconnection of Routes in High Performance Parallel Systems", Connection and Extension of Coset Graph Arc Coloring, IEEE Transactions on Computers, Vol.57, No.0/2, 1726- 1728.

3. Xiao Wenjie, Pahami, On the Routing and Diameter of Subcircle Graphs, International Journal of Computer Mathematics, Volume 86 (1), 2 1-30, 2009.

4. Further mathematical properties of Cayley digraphs applied to hexagonal and honeycomb grids, and discrete applied mathematics. , Volume 155 (13), 1752- 1760, 2007.

5. Xiao Wenjie and Pahami, Structural Properties of Cayley Directed Graphs and Their Applications in Mesh and Trimmed Torus Interconnection Networks, Computer and System Science, Vol.73, 1232- 1239, 2007.

6. Chen, Xiao and Pahami, Distance between Nodes and Optimal Routing of a Class of Alternating Group Networks, IEEE Transactions on Computers, Vol.55, No.2 1645- 1648, 2006.

7. Xiao Wenjie and Pahami, A group construction method for constructing pruning interconnection networks, IEEE Transactions on Parallel and Distributed Systems, vol. 18, pp. 5,637-643, 2007.

8. Sun Zhitai, Xiao Wenjie, ComNET: A P2P Community Network, Lecture Notes on Computer Science, Volume 4847, 27 1-28 1, 2007.

9. Xiao Weijie, Qin, Pahami, Extended Clustering Coefficient of Small World Network, Lecture Notes on Computer Science, Vol. 4490, pp. 67-73, 2007.

10. Xiao Wenjie, Chen Wende, He Mingxiang, Wei Wenhui, Pahami, Dual Switched Network and Its Topological Properties, 8th ACIS International Conference on Software Engineering, Artificial Intelligence, Network and Parallel/Distributed Computing, 2007, 193- 198, 2007.

1 1. Chen Boxiang, Chen Boxiang, Meng Jianxiang, Xiao Wenjie, Construction of Infinite Family of Arbitrary K-Compact Optimal and Singular K-Compact Optimal Directed Double Loop Networks, China Science Series A, Vol.50, No.7, 1055- 1064, 2007.

12. Qin yuying, Xiao wenjie, Zhao Chunguang, -X heterogeneous OTIS network load balancing scheme, computer science lecture notes, vol. 4494, 2007, pp. 482-492.

13. Zhao Chunguang, Xiao wenjie, Qin, mixed diffusion algorithm for network load balancing, computer science lecture OTIS, vol. 4494, 42 1-432, 2007.

14. Xiao and Pahami, Further Properties of Cayley Directed Graph and Its Application in Internet, Lecture Notes on Computer Science, Volume 3959, 192- 197, 2006.

15. Xiao Wenjie, some results about the diameter of Cayley diagram, discrete applied mathematics. , vol. 154, 1640- 1644, 2006.

16. Xiao and Pahami, Kaletu as a deterministic small-world network model, Information Processing Communication, Vol. 97 (3),115-117, 2006.

17. Chen Baixiang, Meng jianxiang, Xiao wenjie, some new optimal and suboptimal infinite families of undirected double-loop networks, discrete mathematics and theoretical computer science, vol. 8, 299-3 12, 2006.

18. Chen Baixiang, Xiao Wenjie, Du, A New Routing Algorithm for Shuffle Switching Network, Journal of System Science and Complexity, 19, No.4, 586-59 1, 2006.

19. Xiao Wenjie, Linear Symmetry of Boolean Functions, Discrete Applied Mathematics. , vol. 149 (1-3), 192- 199, 2005.

20. Xiao Wenjie and B. Parhami, Some Mathematical Properties of Cayley Directed Graph and Its Application in Interconnection Network Design, International Journal of Computer Mathematics, Vol.85 (5), 52 1-528, 2005.

2 1. Zhou Shimin, Xu Haizhong, Xiao Wenjie, unified expression of Kautz network and generalized hypercube, computer and application; Mathematics and Application, Volume 49 (9- 10),1403-1411,2005.

22. Chen Boxiang, Meng Jianxiang, Xiao Wenjie, Constant Time Optimal Routing Algorithm for Undirected Double-loop Networks, Lecture Notes on Computer Science, Volume 3794, 308-3 16, 2005.

24. Xiao Wenjie, guttmann, Relationship between Resistance and Laplacian Matrix and Its Application, Match-Commun. mathmatics Computer. Chemistry. , Vol. 5 1, 1 19- 127, 2004.

25. Zhou Shimin, Xiao Wenjie, A New Three-dimensional Fixed Interconnection Network, Computer Science and Technology, 19(2), 2 18-223, 2004.

26. Xiao Wenjie, B. Parhami, Some conclusions of Cayley digraph and its application in Internet, Lecture Notes on Computer Science, Volume 3033, 408-412, 2004.

27. Chen Baixiang and Xiao Wenjie, Optimal Design of Directed Double-loop Networks, Lecture Notes on Computer Science, Vol. 33 14, 2004, 19-24.

28. Xiao and Pahami, Hexagonal and Trimmed Torus Network as Cayley Diagram, Journal of International Network. Computer communication of sugar paste, CIC'04, 107- 1 12, 2004.

29. Xiao Wenjie and guttmann, on resistance matrix, matching-communication. mathmatics Computer. Chemistry. , vol. 49, 67-8 1, 2003.

30. Xiao Wenjie and guttmann, Resistance Distance and Laplace Spectrum, Theoretical Chemical Calculation, 1 10(4), 284-289, 2003.

3 1.R.B. Bapat, I. Gutman and W.J. Xiao, a simple method for calculating resistance distance, Zeitschrift Fur Naturforschung, 58a, 494-498, 2003.

32. Xiao Wenjie, a question about Sergienko, Pure Algebra and Applied Algebra, Volume 87, 97-98, 1993.

33. Xiao Wenjun, A Question about Mu Xin, Science Bulletin, 38(2), 104- 105, 1993.

34. Xiao Wenjun, on p- closed groups, Journal of Mathematics, 36(2), 160- 162, 1993.

35. Xiao Wenjie, Glaubermann conjecture, Mazurov problem and Peng problem, China Science, 34(9), 1025- 103 1, 199 1.

36. W.J. Shaw, On Grubman's conjecture and Podufalov's problem, Science in China, 33( 10),174-1181,/.

37. Xiao Wenjun, On Zassenhaus's conjecture, Science Bulletin, 4,244-246, (1989).