A note on a conjecture of Bene Watts–Norin–Yepremyan for Lagrangian

作者：

Highlights：

• Using two operations in extremal combinatorics to Lagrangian problems.

• The first note on the BeneWatts, Norin and Yepremyan’s conjecture which is very difficult.

• The extremal hypergraphs of the maximum Lagrangian of t-intersecting r-graphs maybe the complete hypergraph, star, and others.

摘要

•Using two operations in extremal combinatorics to Lagrangian problems.•The first note on the BeneWatts, Norin and Yepremyan’s conjecture which is very difficult.•The extremal hypergraphs of the maximum Lagrangian of t-intersecting r-graphs maybe the complete hypergraph, star, and others.

论文关键词：Hypergraph Lagrangian,t-intersecting,Extremal problem

论文评审过程：Received 26 December 2021, Revised 28 March 2022, Accepted 2 April 2022, Available online 18 April 2022, Version of Record 18 April 2022.

论文官网地址：https://doi.org/10.1016/j.amc.2022.127151