Biography

a. Educatiuon 

2002/09—2006/07 College of Mathematics and System Science, Xinjiang University, BSc.

2006/09—2009/07 College of Mathematics and System Science, Xinjiang University, MSc.

2009/09—2012/06 College of Mathematics and System Science, Xinjiang University, PhD.

2014/03—2019/06 School of Mathematics and Statistics, Xi’an Jiaotong University, Postdoc.

b.Academic Appointments 

Member of Chinese Mathematical Society

c.Short-Term Visiting 

2017/09—2018/09 University of East Anglia, Visiting Scholar.

Courses

Undergraduate Courses

1. Higher Algebra (X1201271.01), 4.0 Credits, 72 hours.

2. Higher Algebra (X1201272.01), 4.0 Credits, 72 hours.

3. Linear Algebra (X1201030.E6), 2.5 Credits, 40 hours.

4. Linear Algebra (12031030Y.01), 2.5 Credits, 40 hours.

5. Introduction to Applied Mathematics (Graph Spectra) (X1201290.02) 18 Credits, 6 hours.

Master Courses

1. Algebra (s1203002Y001), 2.0 Credits, 40 hours.

2. Graph Theory (s1203117), 2.0 Credits, 40 hours.

3. Algebraic Graph Theory, 64 hours.

4. Graduate Seminar, 128 hours

Research instersts

Algebraic Graph Theory

Combinatorics

Selected publications

Research Project and Award

1. 11401044, Rational Orthogonal Matrix Graph Spectrum and Its Applications, National Natural Science Foundation of China, 2015/01-2017/12, Completed, Head.

2. 11326213, Spectral Characterization of Graphs and the Study on Extremal Graph Spectrum,

National Natural Science Foundation of China, 2014/01-2014/12, Completed, Head.

3. 2021-JM149, Study on Graph Walk Matrix and Main Eigenvalues, Natural Science Foundation of Shaanxi, 2021/01-2022/12, Ongoing, Head.

4. Excellent Paper Award for Young Teachers, Shaanxi Mathematical Society, 2017.

Working Papers

[1] Liu F, Siemons J. Unlocking the walk matrix of a graph[J]. Journal of Algebraic Combinatorics, 2021:https://doi.org/10.1007/s10801-021-01065-3.

[2] Wang W, Liu F. Generalized spectral characterizations of almost controllable graphs[J]. European Journal of Combinatorics, 2021, 96: 103348.

[3] Du Z, Liu F, Liu S, et al. Graphs with n− 1 main eigenvalues[J]. Discrete Mathematics, 2021, 344(7): 112397.

[4] Yu Q, Liu F, Zhang H, et al. Note on graphs with irreducible characteristic polynomials[J]. Linear Algebra and its Applications, 2021, 629: 72-86.

[5] Liu F, Wang W, Yu T, et al. Generalized cospectral graphs with and without Hamiltonian cycles[J]. Linear Algebra and its Applications, 2020, 585: 199-208.

[6] Liu F, Siemons J, Wang W. New families of graphs determined by their generalized spectrum[J]. Discrete Mathematics, 2019, 342(4): 1108-1112.

[7] Liu F, Wang W. A Note on Non-R-Cospectral Graphs[J]. The Electronic Journal of Combinatorics, 2017: P1. 48-P1. 48.

[8] Liu F, Huang Q. Laplacian spectral characterization of 3-rose graphs[J]. Linear Algebra and its Applications, 2013, 439(10): 2914-2920.

[9] Liu F, Huang Q, Tao X. On the spectral radii of weighted double stars[J]. Applied Mathematics Letters, 2012, 25(4): 667-671.

[10] Liu F, Huang Q, Liu Q. Spectral characterization of†-shape trees[J]. The Electronic Journal of Linear Algebra, 2011, 22: 822-837.