no code implementations • 11 Jan 2021 • Jialin He, Jie Ma, Lilu Zhao
al. Our second result considers infinitely many pairs $(m, f)$ of special forms, whose exact values of $\sigma(m, f)$ were conjectured by Erd\H{o}s et.
Combinatorics
no code implementations • 2 Dec 2019 • Jialin He, Jie Ma, Tianchi Yang
A longstanding conjecture of Erd\H{o}s and Simonovits states that every $n$-vertex graph with $ex(n, C_4)+1$ edges contains at least $(1+o(1))\sqrt{n}$ 4-cycles.
Combinatorics