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路在平

职称:教授

联系电话:022-23502180

电子邮箱:lu@nankai.edu.cn

办公地址:南开大学

个人主页:

  • 个人简介
  • 科研成果
  • 社会兼职
  • 教授课程
  • 荣誉称号
  • 路在平,男,1969年出生,山东淄博人。1995年开始任教,2002年获得北京大学博士学位,2009年任教授,2010年任博士生导师。研究兴趣主要涉及群论和图论,已国内外刊物上发表30余篇学术论文,主持或参加了多项国家自然科学基金项目,曾参加“973”项目1项。曾应邀赴西澳大利亚大学、墨尔本大学和浦项工业大学访问和学术交流。
    工作经历
    1995年7月至2003年7月,曲阜师范大学,教师;
    2003年8月至2004年9月,西奥利亚大学,访问学者;
    2004年11月至今,南开大学,教师。
    教育经历
    学士:1991年,曲阜师范大学;
    硕士:1995年,曲阜师范大学;
    博士:2002年,北京大学。
  • H. Hua, H.C. Liao, 路在平, On edge-primitive graphs with soluble edge-stabilizers, J. Aust. Math. Soc., 28 pages, doi:10.1017/S1446788721000112.


    G. Li, B. Ling, 路在平, Arc-Transitive Graphs of Square-free Order with Valency 11, Algebra Colloq. 28 (2021), no. 4, 645–654.



    J.J. Li, H.C Liao, 路在平, W.Y. Zhu, Symmetric graphs of prime valency associated with some almost simple groups, Discrete Math, 344 (2021), no. 11, Paper No. 112547, 12 pp.


    C.H. Li, J.J. Li, 路在平, Two-arc-transitive graphs of odd order—II, European J. Combin. 96 (2021), Paper No. 103354, 10 pp.


    H.C. Liao, J.J. Li, 路在平, On quasiprimitive edge-transitive graphs of odd order and twice prime valency, J. Group Theory 23 (2020), no. 6, 1017–1037.


    H.Y. Chen, H. Han, 路在平, Some semisymmetric graphs arising from finite vector spaces, J. Algebra Appl. 19 (2020), no. 11, 2050216, 16 pp. 


    路在平, On edge-primitive 2-arc-transitive graphs. J. Combin. Theory Ser. A 171 (2020), 105172, 13 pp. 


    H.Y. Chen, 路在平, On vertex-transitive self-complementary digraphs, Ars Combin. 145 (2019), 149–160.


    路在平, E.J. Xu, On arc-transitive Cayley digraphs of out-valency 3. Discrete Math. 342 (2019), no. 4, 1128–1138.


    路在平, N. Song, Light edges in 3-connected 2-planar graphs with prescribed minimum degree, Bull. Malays. Math. Sci. Soc. 41 (2018), no. 3, 1265–1274. 


    G. Li, 路在平, C.Y. Zhang, Locally-primitive arc-transitive 10-valent graphs of square-free order, Algebra Colloq. 25 (2018), no. 2, 243–264. 


    H.Y. Chen, 路在平, Edge-transitive homogeneous factorizations of complete uniform hypergraphs, J. Graph Theory 87 (2018), no. 3, 305–316. 


    G.X. Wang, 路在平, The two-arc-transitive graphs of square-free order admitting alternating or symmetric groups, J. Aust. Math. Soc. 104 (2018), no. 1, 127–144. 


    G. Li, 路在平, On alternatively connected edge-transitive graphs of square-free order, Graphs Combin. 33 (2017), no. 6, 1577–1589. 


    路在平, Y.B. Ma, The rainbow vertex connectivities of small cubic graphs, Ars Combin. 135 (2017), 335–343.


    H.Y. Chen, 路在平, Symmetric factorizations of the complete uniform hypergraph, J. Algebraic Combin. 46 (2017), no. 2, 475–497. 


    Y.B. Ma, 路在平, Rainbow connection numbers of Cayley graphs, J. Comb. Optim. 34 (2017), no. 1, 182–193. 


    路在平, N. Song, On the minimum weight of a 3-connected 1-planar graph, Bull. Korean Math. Soc. 54 (2017), no. 3, 763–787. 


    Y.B. Ma, 路在平, Rainbow connection numbers of Cayley digraphs on abelian groups, Appl. Math. Comput. 311 (2017), 178–183. 


    C.H. Li, 路在平, G.X. Wang, Arc-transitive graphs of square-free order and small valency, Discrete Math. 339 (2016), no. 12, 2907–2918.


    H. Han, 路在平, Semisymmetric graphs admitting primitive groups of degree 9p, Sci. China Math. 58 (2015), no. 12, 2671–2682.


    H. Han, 路在平, On locally primitive graphs of order 18p, Chin. Ann. Math. Ser. B 36 (2015), no. 6, 919–936. 



    C.H. Li, 路在平, G.X. Wang, On edge-transitive graphs of square-free order, Electron. J. Combin. 22 (2015), no. 3, Paper 3.25, 22 pp. 


    路在平, Y.B. Ma, Graphs with vertex rainbow connection number two, Sci. China Math. 58 (2015), no. 8, 1803–1810.



    C.H. Li, 路在平, G.X. Wang, The vertex-transitive and edge-transitive tetravalent graphs of square-free order, J. Algebraic Combin. 42 (2015), no. 1, 25–50.


    路在平, Y.B. Ma, Rainbow 2-connection numbers of Cayley graphs, Inform. Process. Lett. 115 (2015), no. 4, 486–491.


    G.X. Liu, 路在平, On edge-transitive cubic graphs of square-free order, European J. Combin. 45 (2015), 41–46. 


    C.H. Li, 路在平, J.M. Pan, Finite vertex-primitive edge-transitive metacirculants, J. Algebraic Combin. 40 (2014), no. 3, 785–804. 


    J.J. Li, 路在平, G.X. Wang, A note on bi-normal Cayley graphs, Ars Combin. 117 (2014), 3–7. 


    C.H. Li, 路在平, G.X. Wang, Vertex-transitive cubic graphs of square-free order, J. Graph Theory 75 (2014), no. 1, 1–19. 


    H. Han, 路在平, Affine primitive groups and semisymmetric graphs, Electron. J. Combin. 20 (2013), no. 2, Paper 39, 9 pp. 


    H. Han, 路在平, A note on connected cubic Cayley graphs, Discrete Math. 313 (2013), no. 18, 1763–1766. 


    H. Han, 路在平, Semisymmetric graphs of order 6p2 and prime valency, Sci. China Math. 55 (2012), no. 12, 2579–2592. 


    C.H. Li, Z. Liu, 路在平, The edge-transitive tetravalent Cayley graphs of square-free order, Discrete Math. 312 (2012), no. 12-13, 1952–1967. 


    B. Jia, 路在平, G.X. Wang, A class of symmetric graphs with 2-arc transitive quotients, J. Graph Theory 65 (2010), no. 3, 232–245.


    J.J. Li, 路在平, Cubic s-arc transitive Cayley graphs, Discrete Math. 309 (2009), no. 20, 6014–6025. 


    W.D. Gao, 路在平, The Erdős-Ginzburg-Ziv theorem for dihedral groups, J. Pure Appl. Algebra 212 (2008), no. 2, 311–319. 


    路在平, S.M. Zhou, Finite symmetric graphs with two-arc transitive quotients, II. J. Graph Theory 56 (2007), no. 3, 167–193. 


    路在平, Primitive half-transitive graphs constructed from the symmetric groups of prime degrees, J. Combin. Theory Ser. B 97 (2007), no. 5, 818–826. 


    C.H. Li, 路在平, P.P Pálfy, Further restrictions on the structure of finite CI-groups, J. Algebraic Combin. 26 (2007), no. 2, 161–181. 


    路在平, C.Q. Wang, M.Y. Xu, Semisymmetric cubic graphs constructed from bi-Cayley graphs of An, Ars Combin. 80 (2006), 177–187. 


    C.H. Li, 路在平, H. Zhang, Tetravalent edge-transitive Cayley graphs with odd number of vertices, J. Combin. Theory Ser. B 96 (2006), no. 1, 164–181. 


    X.G. Fang, 路在平, J. Wang, M.Y. Xu, Cayley digraphs of finite simple groups with small out-valency, Comm. Algebra 32 (2004), no. 3, 1201–1211. 


    C.H. Li, 路在平, D. Marušič, On primitive permutation groups with small suborbits and their orbital graphs, J. Algebra 279 (2004), no. 2, 749–770.


    路在平, M.Y. Xu, Three infinite families of cubic edge-regular graphs, (Chinese) Adv. Math. (China) 33 (2004), no. 1, 115–120. 05C25


    路在平, C.Q. Wang, M.Y.Xu, On semisymmetric cubic graphs of order 6p2, Sci. China Ser. A 47 (2004), no. 1, 1–17. 


    路在平, M.Y. Xu, Cubic semisymmetric graphs constructed from Cayley graphs of degree 4, Graph Theory Notes N. Y. 44 (2003), 44–51.


    路在平, On the automorphism groups of biCayley graphs, 北京大学学报 39 (2003), no. 1, 1–5. 


    路在平, M.Y. Xu, On the normality of Cayley graphs of order pq, Australas. J. Combin. 27 (2003), 81–93.


    路在平, 王品超, 有一个稳定子群是F-群的素数阶自同构的有限π-群, 数学学报 43 (2000), no. 5, 871–874. 


    路在平, 王品超, 某些子群是半正规的有限群, 数学学报 41 (1998), no. 5, 949–954. 


    路在平, 王品超, On Si-quasinormal subgroups, Northeast. Math. J. 13 (1997), no. 3, 367–371. 


    王品超, 路在平, 关于可解群的若干充分条件, 数学学报 39 (1996), no. 6, 820–824. 


    王品超, 路在平, 边平西, On the supersolvability of QCLT-groups,Northeast. Math. J. 12 (1996), no. 1, 41–45. 


    路在平, 边平西,π-Fitting子群, 曲阜师范大学学报 22 (1996), no. 1, 19–21.


  • 本科生课程:图论,组合学中的代数方法;研究生课程:抽象代数,有限群,有限置换群,代数图论,群与图。