Research

Extremal Combinatorics, Additive Number Theory

Joint with T. H. Lê and M. B. Milinovich, Sums of dilates in \(\mathbb Z_p\) at density one half, preprint (2023).
D. J. Grynkiewicz and Chao Liu, A Multiplicative Property for Zero-Sums II, Electron. J. Combin. 29(3) (2022), P3.12. [PDF]
D. J. Grynkiewicz and Chao Liu, A Multiplicative Property for Zero-Sums I, Discrete Math. 345(10) (2022), 112974. [PDF]
W. Gao, C. Liu, S. Tringali, and Q. Zhong, On half-factoriality of transfer Krull monoids, Commun. Algebra 49 (2021), 409--420. [PDF]
Joint with J. Peng, Y. Li and M. Huang, On the inverse problems associated with subsequence sums of zero-sum free sequences over finite abelian groups, Colloq. Math. 163 (2021), 317--332.
Joint with J. Peng, Y. Li and M. Huang, On subsequence sums of a zero-sum free sequence over finite abelian groups, J. Number Theory 217 (2020), 193--217.
W. Gao, M. Huang, W. Hui, Y. Li, C. Liu and J. Peng, Sums of sets of abelian group elements, J. Number Theory 208 (2020), 208--229. [PDF]
Chao Liu, On the lower bounds of Davenport constant, J. Comb. Theory, Ser. A 171 (2020), 105162. [PDF]
W. Gao, Y. Li, C. Liu and Y. Qu, Product-one subsequences over subgroups of a finite group, Acta Arithmetica 189 (2019), 209--221. [PDF]
Chao Liu, On the index-r-free sequences over finite cyclic groups, Int. J. Number Theory 14(06) (2018), 1627--1636. [PDF]

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