胡小兰-数学与统计学学院2026

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胡小兰

副教授

办公室

国交2栋402办公室

邮箱

xlhu@mail.ccnu.edu.cn

个人简介

华中师范大学数学与统计学学院副研究员

开设课程

《Combinatorial Mathematics》《Calculus》

研究方向

Graph theory

教育经历

2012.09-2015.06 Nanjing University Ph.D
2013.09-2013.12 West Virginia University Visiting Student
2009.09-2012.06 Hubei University M.A
2005.09-2009.06 Hubei University B.A

工作经历

2015.07-present Central China Normal University Assistance Professor 
2017.09-2018.09 Charles University Post-doctoral
2017.03-2017.09 Charles University Visiting Scholar

研究成果

[1]X.L Hu and J.A. Li, Circular coloring and fractional coloring in planar graphs, Journal of Graph Theory, 99(2)(2022) 312-343. 
[2]H.Q. Liu, X.J. Hu and X.L Hu, Burning numbers of path forests and spiders, Bulletin of the Malaysian Mathematical Sciences Society, 44(2)(2021) 661-681. 
[3]Z. Dvorak and X.L. Hu, (3a:a)-list-colorability of embedded graphs of girth at least five, SIAM Journal on Discrete Mathematics, 34(2020) 2137-2165.
[4]Z. Dvorak and X.L. Hu, Fractional coloring of planar graphs of girth five, SIAM Journal on Discrete Mathematics, 34(2020) 538-555.
[5]H.Q. Liu, X.J. Hu and X.L. Hu, Burning number of caterpillars. Discrete Applied Mathematics, 284(2020) 332-340.
[6]H.T. Wu, Y.J. Chen and X.L. Hu, Planar graphs without 4- and 6-cycles are (7:2)-colorable, Journal of Combinatorial Optimization, 40(2020) 45-58.
[7]Z. Dvorak, X.L. Hu and J-S. Sereni, A 4-choosable graph that is not (8:2)-choosable, Advances in Combinatorics,  2019, Paper No. 5, 9 pp.
[8]Y.J. Chen and X.L. Hu, Complete graph-tree planar Ramsey number, Graphs and Combinatorics, 35(2019 1659-1671.
[9]S.Z. Zhang, H.Q. Liu, D. Li and X.L. Hu, Fractional matching preclusion of the restricted HL-graphs, Journal of Combinatorial Optimization, 38(2019) 1143-1154. 
[10]Z. Dvorak and X.L. Hu, Planar graphs without cycles of length 4 or 5 are (11:3)-colorable, European Journal of Combinatorics, 82(2019), 102996, 18 pp.
[11]H.Q. Liu, R.T. Zhang and X.L. Hu, Burning number of theta graphs, Applied Mathematics and Computation, 361(2019) 246–257. 
[12]H.Q. Liu, X.L. Hu and S. Gao, Hamiltonian cycles and paths in faulty twisted hypercubes, Discrete Applied Mathematics, 257(2019) 243–249.
[13]H.Q. Liu, X.L. Hu and S. Gao, The g-good neighbor conditional diagnosability of twisted hypercubes under the PMC and MM* model, Applied Mathematics and Computation, 332(2018) 484-492.
[14]X.L. Hu and Y.J. Chen, Embedding trees in graphs with independence number two, Discrete Mathematics, Algorithms and Applications, 10(2018) 1850050.
[15]X.L. Hu, Y.Q. Zhang and Y.B. Zhang, Quadrilateral-tree planar Ramsey numbers, Bulletin of the Australian Mathematical Society, 97(2018) 194-199.
[16]H.B. Hua, H.Z. Wang and X.L. Hu, On eccentric distance sum and degree distance of graphs, Discrete Applied Mathematics, 250(2018) 262-275.
[17]X.L. Hu, Y.Q. Zhang and Z.K. Miao, Upper bounds on adjacent vertex distinguishing total chromatic number of graphs, Discrete Applied Mathematics, 233(2017) 29-32.
[18]X.L. Hu, Y.J. Chen, R. Luo and Z.K. Miao, Neighbor sum distinguishing index of 2-degenerate graphs, Journal of Combinatorial Optimization, 34(2017) 798-809.
[19]Z.K. Miao, R. Shi, X.L. Hu and R. Luo, Adjacent vertex distinguishing total colorings of 2-degenerate graphs, Discrete Mathematics, 339(2016) 2446-2449.
[20]X.L. Hu, Y.J. Chen, R. Luo and Z.K. Miao, Neighbor sum distinguishing edge colorings of sparse graphs, Discrete Applied Mathematics, 193(2015) 119-125.
[21]X.L. Hu, H.Q. Liu and X.F. Pan, Fault-free Hamilton cycles in burnt pancake graphs with conditional edge faults, Discrete Applied Mathematics, 169(2014) 152-161.
[22]X.L. Hu and H.Q. Liu, The (conditional) matching preclusion for burnt pancake graphs, Discrete Applied Mathematics, 161(2013) 1481-1489.
[23]X.L. Hu and H.Q. Liu, New upper bounds for the Huckel energy of graphs, 
MATCH Communications in Mathematical and in Computer Chemistry, 66(2011) 863-878.
[24]X.F. Pan, X.L. Hu, X.G. Liu and H.Q. Liu, The spectral moments of trees with given maximum degree, Applied Mathematics Letters, 24(2011) 1265-1268.

研究项目

1.2020.01-2023.12 National Natural Science Foundation of China: On fractional coloring and substructure of graphs (11971196)
2.2017.01-2019.12 National Natural Science Foundation of China: Fractional chromatic number and independence number of some graphs (11601176)
3.2016.06-2018.06 Natural Science Foundation of Hubei Province: On restricted coloring of some graphs (2016CFB146)

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