Yongtao Li

collaborators

3 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…

A spectral LovÃ¡sz-Simonovits theorem

Spectral supersaturation: Triangles and bowties

A spectral ErdÅs-Faudree-Rousseau theorem

A spectral ErdÅs-Faudree-Rousseau theorem