Yongtao Li

activity

20242026

collaborators

5 papers

math.CO2026

A spectral LovÃ¡sz-Simonovits theorem

Yongtao Li, Lihua Feng, Yuejian Peng

A fundamental result in extremal graph theory is attributed to Mantel's theorem, which states that every graph on $n$ vertices with more than $⌊ n^{2} /4 ⌋$ edges must con…

math.CO2025

Spectral supersaturation: Triangles and bowties

Yongtao Li, Lihua Feng, Yuejian Peng

Recently, Ning and Zhai (2023) proved that every $n$ -vertex graph $G$ with $I^» (G) \geq ⌊ n^{2} /4 ⌋$ has at least $⌊ n /2 ⌋ - 1$ triangles, unless $G=K_{\lce…

math.CO2025

A spectral ErdÅs-Faudree-Rousseau theorem

Yongtao Li, Lihua Feng, Yuejian Peng

A well-known theorem of Mantel states that every $n$ -vertex graph with more than $⌊ n^{2} /4 ⌋$ edges contains a triangle. An interesting problem in extremal graph theory…

math.CO2024

Stabilities for non-uniform $t$ -intersecting families

Yongtao Li, Biao Wu

The study of intersection problems on families of sets is one of the most important topics in extremal combinatorics. As we all know, the extremal problems involving certain inters…

math.CO2024

A spectral ErdÅs-Rademacher theorem

Yongtao Li, Lu Lu, Yuejian Peng

A classical result of ErdÅs and Rademacher (1955) indicates a supersaturation phenomenon. It says that if $G$ is a graph on $n$ vertices with at least $\lfloor {n^2}/{4} \rfloor +…

A spectral LovÃ¡sz-Simonovits theorem

Spectral supersaturation: Triangles and bowties

A spectral ErdÅs-Faudree-Rousseau theorem

Stabilities for non-uniform t-intersecting families

A spectral ErdÅs-Rademacher theorem

A spectral ErdÅs-Faudree-Rousseau theorem

Stabilities for non-uniform $t$ -intersecting families

A spectral ErdÅs-Rademacher theorem