Publication

Submitted

1. The Erdős distinct subset sums problem in a modular setting, 12 pages.
   Jun Gao, Stijn Cambie, Younjin Kim, and Hong Liu.
   
2. Extremal number of graphs from geometric shapes, 23 pages.
   Jun Gao, Oliver Janzer, Hong Liu and Zixiang Xu.
   
3. On two cycles of consecutive even lengths, 12pages
   Jun Gao, Binlong Li, Jie Ma and Tianying Xie.

Accepted and Published

2023

1. Many Hamiltonian subsets in large graphs with given density, 11 pages.
   Stijn Cambie, Jun Gao and Hong Liu.
   Combinatorics, Probability and Computing, to appear.
   
2. Stability through non-shadows, 11 pages.
   Jun Gao, Hong Liu and Zixiang Xu.
   Combinatorica, to appear.
   
3. Tight bounds towards a conjecture of Gallai, 7 pages.
   Jun Gao and Jie Ma.
   Combinatorica, to appear.

~ 2022

1. A unified proof of conjectures on cycle lengths in graphs, 39 pages.
   Jun Gao, Qingyi Huo, Chun-Hung Liu and Jie Ma.
   Int. Math. Res. Not. 2022(10) (2022), 7615-7653. Journal Version
   
2. On the rainbow matching conjecture for 3-uniform hypergraphs, 18 pages.
   Jun Gao, Hongliang Lu, Jie Ma and Xingxing Yu.
   Science China Mathematics, 65 (2022), 2423-2440. Journal Version
   
3. A strengthening on odd cycles in graphs of given chromatic number, 11 pages.
   Jun Gao, Qingyi Huo and Jie Ma.
   SIAM J. Discrete Math. 35(4) (2021), 2317-2327. Journal Version
   
4. A conjecture of Verstraete on vertex-disjoint cycles, 12 pages.
   Jun Gao and Jie Ma.
   SIAM J. Discrete Math 34(2) (2020), 1290–1301. Journal Version
   
5. On a conjecture of Bondy and Vince, 8 pages.
   Jun Gao and Jie Ma.
   J. Combin. Theory, Ser. B 141 (2020), 136-142. Journal Version
   
6. The spectral radius of graphs without long cycles, 17 pages.
   Jun Gao and Xinmin Hou.
   Linear Algebra and its Applications, (2017), 566. Journal Version