基本信息
姓名：李平山
职称：讲师
电子信箱：lips@xtu.edu.cn
办公室：数学楼北楼 227
个人简介
李平山，男，博士，讲师
学习工作经历
教育经历：
2008.09-2012.06, 衡阳师范学院，本科，应用数学；
2012.09-2015.06, 广西大学，硕士研究生，基础数学，导师：徐尚进教授；
2015.09-2018.06, 北京师范大学，博士研究生，应用数学，导师：徐敏教授.
工作经历:
2018.08-至今， 糖心vlog.
主讲课程
线性代数、高等代数
研究方向
研究方向：图论、组合网络理论
科研项目
主持的科研项目：
(1) 湖南省自然科学青年基金项目,正则网络的条件容错强Menger连通性研究，2021.1.1-2023.12.31；
(2) 湖南省教育厅一般项目，容错网络的最大连通分支及应用，2019.9.30-2021.12.31.
论文专著
(1) Pingshan Li, Edge fault-tolerance of strongly Menger edge connected graphs，Discrete Mathematics, 345 (2022) 112681. SCI（数学推荐T2)
(2) Pingshan Li, Min Xu*, Eddie Cheng, The conditional fault-tolerant strong Menger edge connectivity on regular graphs, 2021+, Submitted.
(3) Dong Liu, Pingshan Li*, Bicheng Zhang, Edge-fault-tolerance about the SM-λproperty of hypercube-like networks, 2021+, Submitted.
(4) Dong Liu, Pingshan Li*, Bicheng Zhang, Component edge connectivity of hypercube-like networks, 2021+, Submitted.
(5) Shudan Xue, Qingying Deng, Pingshan Li*, Fault-Tolerant Strongly Hamiltonian Laceability and Hyper-Hamiltonian Laceability of Cayley Graphs Generated by Transposition Trees, The Computer Journal, 2021, https://doi.org/10.1093/comjnl/bxab167. SCI
(6) Pingshan Li, Rong Liu, Xianglin Liu*, The (E)FTSM-(edge) connectivity of Cayley graphs generated by transposition trees, International Journal of Foundations of Computer Science, 2021, https://doi.org/10.1142/S0129054121500337. SCI
(7) Min Xu*, Pingshan Li, Edge-fault-tolerant strong Menger edge connectivity on regular graphs, Theoretical Computer Science,847 (2020) 39–48; SCI(CCF推荐 B类)
(8) Pingshan Li, Min Xu*, Fault-tolerant strong Menger (edge) connectivity of arrangement graph, Discrete Applied Mathematics, 287 (2020) 53–61; SCI（数学推荐T3）
(9) Tongtong Ding, Pingshan Li*, Min Xu, The component (edge) connectivity of shuffle-cubes，Theoretical Computer Science， 835 (2020) 108–119；SCI(CCF推荐 B类)
(10) Pingshan Li; Min Xu*, The largest component of faulty star graphs,Theoretical Computer Science, 824–825 (2020) 57-66. SCI(CCF推荐 B类)
(11) Pingshan Li, Min Xu*, The t/k-diagnosability and strong Menger connectivity on star graphs with conditional faults,Theoretical Computer Science, 793 (2019) 181-192; SCI(CCF推荐 B类)
(12) Pingshan Li, Min Xu*, Edge-fault-tolerant strong Menger edge connectivity on the class of hypercube-like networks, Discrete Applied Mathematics 259 (2019) 145-152; SCI（数学推荐T3）
(13) Pingshan Li, Min Xu*,Fault-Free Hamiltonian Cycles in Balanced Hypercubes with Conditional Edge Faults, International Journal of Foundations of Computer Science, 30(5) (2019) 693–717; SCI
(14) Pingshan Li, Min Xu*, Fault-tolerant strong Menger (edge) connectivity and 3-extra edge-connectivity of balanced hypercubes, Theoretical Computer Science, 728(2018)1-8. SCI(CCF推荐 B类)
(15) Qi Cheng, Pingshan Li, Min Xu*, Conditional (edge-)fault-tolerant strong Menger (edge) connectivity of folded hypercubes, Theoretical Computer Science，728 (2018) 1-8. SCI(CCF推荐 B类)
(16) Pingshan Li, Min Xu*, Edge-fault-tolerant edge-bipancyclicity of balanced hypercubes, Applied Mathmatics and Computation,307(2017) 180–192. SCI
(17) Pingshan Li, Min Xu*, The super spanning connectivity of arrangement graphs, International Journal of Foundations of Computer Science, 28(8) (2017)1047~1072. SCI