Zixiang Xu (徐子翔)

ZJU100 Young Professor (百人计划研究员) School of Mathematical Sciences, Zhejiang University

Preprints

  1. A solution to a strengthened conjecture of Bukh, van Hintum and Keevash on additive bases. arXiv
  2. Improvement on the Erdos-Kleitman conjecture via the KKL theorem, with Gennian Ge and Jialuo Wang. arXiv
  3. Turan problems for multilinear maps, with Qiyuan Chen and Ke Ye. arXiv
  4. A Tverberg-type problem of Kalai: Two negative answers to questions of Alon and Smorodinsky, and the power of disjointness, with Wenchong Chen, Gennian Ge, Yang Shu and Zhouningxin Wang. arXiv
  5. Canonical Ramsey: Triangles, rectangles and beyond, with Yijia Fang, Gennian Ge, Yang Shu, Qian Xu and Dilong Yang (supersedes arXiv:2508.02465). arXiv
  6. PIR over Graphs, with Gennian Ge, Hao Wang and Yijun Zhang. arXiv
  7. All rectangles exhibit canonical Ramsey property, with Gennian Ge and Yang Shu. arXiv
  8. Optimal stability results on color-biased Hamilton cycles, with Wenchong Chen and Mingyuan Rong. arXiv
  9. Largest dyadic dual VC-dimension of non-piercing families, with Xinqi Huang, Yuzhen Qi and Mingyuan Rong. arXiv
  10. Optimal reconstruction codes with given reads in multiple Burst substitutions channel, with Gennian Ge, Moshe Schwartz, Yubo Sun and Wenjun Yu. arXiv
  11. Largest 3-uniform set systems with VC-dimension 2, with Jian Wang and Shengtong Zhang. arXiv
  12. Interpolating chromatic and homomorphism thresholds, with Xinqi Huang, Hong Liu and Mingyuan Rong. arXiv
  13. Strong Ramsey games on two boards, with Jiangdong Ai, Jun Gao and Xin Yan. arXiv
  14. Algebraic approach to stability results for Erdos-Ko-Rado theorem, with Gennian Ge and Xiaochen Zhao. arXiv
  15. Beyond chromatic threshold via (p,q)-theorem, and sharp blow-up phenomenon, with Hong Liu, Chong Shangguan and Jozef Skokan. arXiv
  16. A new variant of the Erdős–Gyárfás problem on K5, with Gennian Ge and Yixuan Zhang. arXiv

Publications

  1. Clique density vs blowups, with Domagoj Bradač, Hong Liu and Zhuo Wu. arXiv
    Combinatorics, Probability and Computing, to appear
  2. Sperner systems with restricted differences, with Chi Hoi Yip. arXiv
    Combinatorial Theory, to appear
  3. Uniform set systems with small VC-dimension, with Ting-Wei Chao, Chi Hoi Yip, and Shengtong Zhang. arXiv
    International Mathematics Research Notices, 2025(17), rnaf269
  4. Optimal redundancy of function-correcting codes, with Gennian Ge, Xiande Zhang and Yijun Zhang. arXiv
    IEEE Transactions on Information Theory 71(12): 9458–9467 (Dec 2025)
  5. Extremal number of graphs from geometric shapes, with Jun Gao, Oliver Janzer and Hong Liu. arXiv
    Israel Journal of Mathematics 269, 761–799 (2025)
  6. Sublinear hitting sets for some geometric graphs, with Xinbu Cheng, Xinqi Huang and Mingyuan Rong. arXiv
    Frontiers in Combinatorics and Number Theory, vol. 2 (May 2026)
  7. The Frankl-Pach upper bound is not tight for any uniformity, with Gennian Ge, Chi Hoi Yip, Shengtong Zhang and Xiaochen Zhao. arXiv
    Journal of Combinatorial Theory, Series A 217 (2026), 106078
  8. Intersective sets over abelian groups, with Chi Hoi Yip. arXiv
    Designs, Codes and Cryptography 94, 19 (2026)
  9. Bollobás–Erdős–Tuza conjecture for graphs with no induced K_{s,t}, with Xinbu Cheng. arXiv
    Journal of Graph Theory 109(4): 514–517 (Aug 2025)
  10. Euclidean Gallai-Ramsey for various configurations, with Xinbu Cheng. arXiv
    Discrete & Computational Geometry 73, 1037–1052 (2025)
  11. A polynomial resultant approach to algebraic construction of extremal graphs, with Tao Zhang and Gennian Ge. arXiv
    Science China Mathematics 68, 485–506 (2025)
  12. Piercing independent sets in graphs without large induced matching, with Jiangdong Ai, Hong Liu and Qiang Zhou. arXiv
    Electronic Journal of Combinatorics 32(1) (2025), Paper 1.10
  13. A rainbow framework for coded caching and its applications, with Min Xu, Gennian Ge and Minqian Liu. arXiv
    IEEE Transactions on Information Theory 70(3): 1738–1752 (Mar 2024)
  14. Exact values and improved bounds on k-neighborly families of boxes, with Xinbu Cheng, Meiqin Wang and Chi Hoi Yip. arXiv
    European Journal of Combinatorics 118 (May 2024), 103926
  15. Local rainbow coloring for various graphs, with Xinbu Cheng. arXiv
    Electronic Journal of Combinatorics 31(2) (2024), Paper 2.55
  16. Embedding bipartite distance graphs under Hamming metric in finite fields, with Wenjun Yu and Gennian Ge.
    Journal of Combinatorial Theory, Series A 198 (2023), 105765
  17. Stability through non-shadows, with Jun Gao and Hong Liu. arXiv
    Combinatorica 43, 1125–1137 (2023)
  18. On vertex-induced weighted Turán problems, with Yifan Jing and Gennian Ge.
    Discrete Mathematics 345(1), 112628 (2022)
  19. On color isomorphic subdivisions, with Gennian Ge.
    Discrete Mathematics 345(5), 112805 (2022)
  20. A note on multicolor Ramsey number of small odd cycles versus a large clique, with Gennian Ge.
    Discrete Mathematics 345(6), 112823 (2022)
  21. Some extremal results on hypergraph Turán problems, with Tao Zhang and Gennian Ge.
    Science China Mathematics 65(8), 1765–1774 (2022)
  22. Some tight lower bounds for Turán problems via constructions of multi-hypergraphs, with Tao Zhang and Gennian Ge.
    European Journal of Combinatorics 89, 103161 (2020)
  23. Color isomorphic even cycles and a related Ramsey problem, with Tao Zhang, Yifan Jing and Gennian Ge.
    SIAM Journal on Discrete Mathematics 34(3), 1999–2008 (2020)
  24. Erdös–Falconer Distance Problem under Hamming Metric in Vector Spaces over Finite Fields, with Gennian Ge.
    SIAM Journal on Discrete Mathematics 34(4), 2208–2220 (2020)
  25. New theoretical bounds and constructions of permutation codes under block permutation metric, with Yiwei Zhang and Gennian Ge.
    Designs, Codes and Cryptography 87(11), 2625–2637 (2019)

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