研究领域

本人的研究方向主要是极值图论与图谱理论, 具体分为如下三个方面:

图的特征值与图结构、稳定性、饱和性问题。

退化类Turan问题, 得到某些典型的退化图类的Turan函数的精细估计。

极值组合学中的关于集合族的相交性问题, 例如: EKR型定理。

教育背景

本科，湖南师范大学，2012-2016

硕士，中南大学，2016-2019

博士，湖南大学，2019-2023

博士后，中南大学，2023-2025

荣誉与奖励

在2018年，获硕士研究生“国家奖学金”

在2021年，获博士研究生“国家奖学金”

在2022年，获湖南大学“校长奖学金”

论文发表

1. Yongtao Li, Yuejian Peng, Refinement on spectral Turan's theorem, SIAM J. Discrete Mathematics 37 (4) (2023) 2462-2485.

2. Yongtao Li, Lu Lu, Yuejian Peng, A spectral Erdos-Rademacher theorem, Advances in Applied Mathematics 158 (2024), No. 102720.

3. Yongtao Li, Lihua Feng, Yuejian Peng, A spectral Erdos-Faudree-Rousseau theorem, Journal of Graph Theory 110 (4) (2025) 408-425.

4. Yongjiang Wu, Lihua Feng, Yongtao Li*, Proof of Frankl's conjecture on cross-intersecting families, Journal of Combinatorial Theory, Series A 216 (2025), No. 106062.

5. Yongtao Li, Lihua Feng, Yuejian Peng, Spectral supersaturation: Triangles and bowties, European Journal of Combinatorics 128 (2025), No. 104171.

6. Yongjiang Wu, Lihua Feng, Yongtao Li*, A result for hemi-bundled cross-intersecting families, Advances in Applied Mathematics 169 (2025), No. 102912.

7. Yongjiang Wu, Zhiyi Liu, Lihua Feng, Yongtao Li*, Two results on set families: Sturdiness and intersection, Journal of Combinatorial Theory, Series A, 220 (2026), No. 106153.

8. Jian Zheng, Yongtao Li*, Yi-Zheng Fan, Some Turan-type results for the signless Laplacian spectral radius, European Journal of Combinatorics 135 (2026), No. 104373.

9. Yongtao Li, Hong Liu, Shengtong Zhang, More on Nosal's spectral theorem: Books and 4-cycles, Journal of Combinatorial Theory, Series B 179 (2026) 219-249

10. Yongtao Li, Lihua Feng, Yuejian Peng, A spectral Lovasz-Simonovits theorem, (2024), arXiv:2408.01709.

11. Yongtao Li, Hong Liu, Shengtong Zhang, An edge-spectral Erdos-Stone-Simonovits theorem and its stability, (2025), arXiv:2508.15271.

12. Yongtao Li, Hong Liu, Shengtong Zhang, Edge-spectral Turán theorems for color-critical graphs with applications, (2025), arXiv:2511.15431.

13. Longfei Fang, Yongtao Li, Huiqiu Lin, Jie Ma, Spectral supersaturation for color-critical graphs, (2025), arXiv:2512.22482.

14. Yongtao Li, Wilson Lin, Hong Liu, Shengtong Zhang, Spectral Sidorenko inequalities and edge-spectral supersaturation, (2026), arXiv:2605.26614.