Xiaonan Liu

	Ph.D. Mathematics (2019-2023) School of Mathematics Georgia Institute of Technology, Atlanta, GA, US B.Sc. Mathematics (2015-2019) School of Mathematical Sciences University of Science and Technology of China Email: xiaonan.liu@vanderbilt.edu Office: SC1406

About me

I am a postdoc in Department of Mathematics at Vanderbilt University, supervised by Professor Mark Ellingham. I received my PhD in Mathematics from Georgia Institute of technology under the supervision of Professor Xingxing Yu. I did my undergraduate at USTC mentored by Professor Xinmin Hou. My research interests are structural graph theory, extremal combinatorics, and graph coloring.

Reseach Papers

Preprints

A tight bound on {C₃, C₅}-free connected graphs with positive Lin-Lu-Yau Ricci curvature (with K. Gamlath, L. Lu, and X. Yuan), pdf file.
On the oriented diameter of near planar triangulations (with Y. Ge and Z. Wang), pdf file.

Publications

Reconstruction and edge reconstruction of triangle-free graphs (with A. Clifton, R. Mahmoud, and A. Shantanam), Discrete Math., 347 (2024) 113753. pdf file.
Polynomial χ-binding functions for t-broom-free graphs (with J. Schroeder, Z. Wang, and X. Yu), J. Combin. Theory Ser. B, 162 (2023) 118--133. pdf file.
Planar Turán numbers of cycles: A counterexample (with D. W. Cranston, B. Lidický, and A. Shantanam), Electronic J. Combinaotrics, 29 (2022) P3.31. pdf file.
Hamiltonian paths and cycles in a class of 4-uniform hypergraphs (with G. Liu), Graphs and Combinatorics, 38(4) (2022) 38:122. pdf file.
Counting Hamiltonian cycles in planar triangulations (with Z. Wang and X. Yu), J. Combin. Theory Ser. B, 155 (2022) 256--277. pdf file.
Number of Hamiltonian cycles in 4-connected planar triangulations (with X. Yu), SIAM J. Discrete Math., 35(2) (2021) 1005--1021. pdf file.