Loujun Yu

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math.CO2025

Spectral extremal graphs for $F_{6}$ -free graphs with even size

Loujun Yu, Yuejian Peng

Let $F_{l}$ be the fan graph obtained by joining a vertex with a path on $l - 1$ vertices. Yu, Li and Peng [Discrete Math. 346 (2023)] conjectured that if the number of edges of $G$ is…

math.CO2024

Spectral extremal graphs for fan graphs

Loujun Yu, Yongtao Li, Yuejian Peng

A well-known result of Nosal states that a graph $G$ with $m$ edges and $λ (G) > m$ contains a triangle. Nikiforov [Combin. Probab. Comput. 11 (2002)] extended this result to…

Spectral extremal graphs for F6​-free graphs with even size

Spectral extremal graphs for fan graphs

Spectral extremal graphs for $F_{6}$ -free graphs with even size