Snevily conjecture on vector spaces over finite fields

Authors

• Jiuqiang Liu, Eastern Michigan University
• Guilhai Yu, uizhou University of Finance and Economics, China

Document Type

Article

Publication Date

2026

Department/School

Mathematics

Publication Title

European Journal of Combinatorics

Abstract

The classical Erdős–Ko–Rado theorem on the size of an intersecting family of 𝑘-subsets of the set [𝑛]={1,2,…,𝑛} is one of the fundamental intersection theorems for set systems which has had great impact on combinatorics. In 1995, Snevily proposed the conjecture that the upper bound for the size of an ℒ-intersecting family of subsets of [𝑛] is (𝑛𝑠) under the condition max⁡{ℓ𝑖}

Comments

J. Liu is a faculty member in EMU's Department of Mathematics and Statistics.

Link to Published Version

DOI: 10.1016/j.ejc.2026.104368

Recommended Citation

Liu, J., & Yu, G. (2026). Snevily conjecture on vector spaces over finite fields. European Journal of Combinatorics, 135, 104368. https://doi.org/10.1016/j.ejc.2026.104368