★学习及工作经历

1998.09—2002.07  太原师范学院数学系数学教育专业学习，获理学学士学位；

2003.09—2006.07  山西大学数学科学学院应用数学专业学习，获理学硕士学位；

2006.08—2008.07  山西大学商务学院教师；

2008.08—至今       纽约国际上网导航数学系教师。

★获奖及成果

●课题与项目：

1.主持校博士启动基金项目“互连网络的故障诊断参数的优化与计算”2021.01-2023.12，10万，在研。

2.参与国家自然基金青年项目“基于并行系统互连网络的条件连通性及故障诊断问题的研究（批准号: 614023 17）”2015.01-2017.12, 26万，结题。

3.参与国家自然基金天元基金项目“图的k-限制连通度和k-限制边连通度的优化研究 （批准号：11126076）”2012.01-2012. 12，3万，结题。

4.参与山西省自然科学基金“并行计算机系统互连网络的可靠性研究（批准号：201901D111253）”2019.09-2022.09，5万，在研。

5.参与山西省青年科技研究基金“网络系统拓扑结构的可靠性参数的优化和计算（批准号：2012021001-2）”2012.01-2014. 12, 3万，结题。

●发表论文：

1.Jun Yuan, Huijuan Qiao, Aixia Liu, et al. Measurement and algorithm for conditional local diagnosis of regular networks under the MM* model[J]. Discrete Applied Mathematics, 309 (2022): 46-67.（SCI收录）

2.Jun Yuan, Huijuan Qiao, Aixia Liu. The Rg-conditional diagnosability of international networks[J]. Theoretical Computer Science 898 (2022) 30-43.（SCI收录）

3.Jun Yuan, Ying Li, Aixia Liu, et al. The non-inclusive g-good-neighbor diagnosability of interconnection networks[J]. Theoretical Computer Science, 26 (2022)，in press.（SCI收录）

4.Jun Yuan, Huijuan Qiao, Aixia Liu. The upper and lower bounds of Rg-conditional diagnosability of networks[J]. Information Processing Letters, 176 (2022): 106248.（SCI收录）

5.Aixia Liu,Jun Yuan, Shiying Wang, et al. On g-good-neighbor conditional connectivity and diagnosability of hierarchical star networks[J]. Discrete Applied Mathematics, 293 (2021): 95-113.（SCI收录）

6.Jun Yuan, Aixia Liu, Xi Wang. The Relationship Between the g-Extra Connectivity and the g-Extra Diagnosability of Networks Under the MM* Model[J]. The Computer Journal, 64 (2021): 921-928.（SCI收录）

7.Aixia Liu,Jun Yuan, Shiying Wang. The g-Extra Conditional Diagnosability of Graphs in Terms of g-Extra Connectivity[J]. Parallel Processing Letters, 30 (2020): 2040006.（EI收录）

8.Aixia Liu, Shiying Wang, Jun Yuan, et al. The h-extra connectivity of k-ary n-cubes[J]. Theoretical Computer Science, 784 (2019): 21-45.（SCI收录）

9.Aixia Liu, Shiying Wang,Jun Yuan. On g-extra conditional diagnosability of hypercubes and folded hypercubes[J]. Theoretical Computer Science, 704 (2017): 62–73.（SCI收录）

10.Jun Yuan,Aixia Liu, et. al. Sufficient conditions for triangle-free graphs to be super k-restricted edge-connected[J]. Information Processing Letters, 116 (2016): 163–167.（SCI收录）

11.Jun Yuan,Aixia Liu, et. al. g-Good-neighbor conditional diagnosability measures for 3-ary n-cube networks[J]. Theoretical Computer Science, 626 (2016): 144–162.（SCI收录）

12.原军，刘爱霞. 局部内（外）半完全有向图可迹的充分条件[J]. 应用数学学报，39(2) 2016: 200-212.

13.Jun Yuan,Aixia Liu, Jifu Zhang, et. al. The good-neighbor conditional diagnosability of k-Ary n-cubes under the PMC model and MM* model[J]. IEEE Transaction on Parallel and Distributed systems, 26 (2015): 1165-1177.（SCI收录）

14.Jun Yuan, Aixia Liu, et. al. Panconnectivity of n-dimensional torus networks with faulty vertices and edges[J]. Discrete Applied Mathematics, 161 (2013): 404–423.（SCI收录）

15.刘爱霞，原军. 超级限制边连通二部图的充分条件[J]. 应用数学学报，36(2) 2013: 209-216.

16.Jun Yuan,Aixia Liu. The k-Restricted Edge Connectivity of Balanced Bipartite Graphs[J]. Graphs and Combinatorics, 27 (2011): 289–303.（SCI收录）

17.Jun Yuan, Aixia Liu. Sufficient conditions for lammd_k-optimality in triangle-free graphs[J]. Discrete Mathematics, 310 (2010): 981-987.（SCI收录）

18.Jun Yuan,Aixia Liu, Shiying Wang. Sufficient conditions for bipartite graphs to be super-k-restricted edge connected[J]. Discrete Mathematics, 309 (2009): 2886-2896.（SCI收录）

19.Shiying Wang, Jun Yuan,Aixia Liu.k-Restricted edge connectivity for some interconnection networks[J]. Applied Mathematics and Computation, 201 (2008): 587–596.（SCI收录）