Lantao Zou

collaborators

3 papers

math.CO2025

Strong spectral stabilities for $C_{2 k + 1}$ -free graphs

Lantao Zou, Yongtao Li, Yuejian Peng

A stability result due to Ren, Wang, Wang and Yang [SIAM J. Discrete Math. 38 (2024)] shows that if $3 \leq r \leq 2 k$ and $n \geq 318 (r - 2)^{2} k$ , and $G$ is a $C_{2 k + 1}$ -free graph on $…

math.CO2025

Spectral extrema of graphs with fixed size: forbidden a fan graph, friendship graph or theta graph

Shuchao Li, Sishu Zhao, Lantao Zou

It is well-known that the Brualdi-Hoffman-TurÃ¡n-type problem inquiries about the maximum spectral radius $ Î»(G) $ of an $ F $-free graph $ G $ with $ m $ edges. Let \( Î¸…

math.CO2025

Spectral extremal problems for non-bipartite graphs without odd cycles

Lantao Zou, Lihua Feng, Yongtao Li

A well-known result of Mantel asserts that every $n$ -vertex triangle-free graph $G$ has at most $⌊ n^{2} /4 ⌋$ edges. Moreover, ErdÅs proved that if $G$ is further non-bi…

Strong spectral stabilities for C2k+1​-free graphs

Spectral extrema of graphs with fixed size: forbidden a fan graph, friendship graph or theta graph

Spectral extremal problems for non-bipartite graphs without odd cycles

Strong spectral stabilities for $C_{2 k + 1}$ -free graphs