# Xiaonan Liu

- EmaiL: xliu729@gatech.edu
- office: Skiles 153

## About me

## Research Interest

Graph Theory and combinatorics
### Reseach Papers

- Polynomial χ-binding functions for t-broom-free graphs (with J. Schroeder, Z. Wang, and X. Yu), Submitted.
pdf file
- Counting Hamiltonian cycles in planar triangulations (with Z. Wang and X. Yu), Submitted. pdf file.
- Hamiltonian paths and cycles in a class of 4-uniform hypergraphs (with G. Liu), Submitted. 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.