Xilong Yin

activity

20242026

collaborators

4 papers

math.CO2026

Spectral extremal problems on planar and outerplanar graphs without $C_{k,l}

Jiamin Li, Dan Li, Xilong Yin +1

Let $spex_{P} (n, F)$ and $spex_{O P} (n, F)$ be the maximum spectral radius among all $n$ -vertex $F$ -free planar graphs and outerplanar graphs, respec…

math.CO2026

Krahn--Szegő type inequalities and nodal domain methods on graphs

Huiqiu Lin, Lianping Liu, Xilong Yin +1

We study discrete analogues of classical spectral geometric inequalities and extremal eigenvalue problems on graphs. The classical Krahn--Szegő inequality states that, among bounde…

math.CO2025

Planar and Outerplanar Spectral Extremal Problems based on Paths

Xilong Yin, Dan Li, Jixiang Meng

Let SPEX $_{P} (n, F)$ and SPEX $_{O P} (n, F)$ denote the sets of graphs with the maximum spectral radius over all $n$ -vertex $F$ -free planar and outerplanar graphs, resp…

math.CO2024

Spectral extremal problems on outerplanar and planar graphs

Xilong Yin, Dan Li

Let $spex_{O P} (n, F)$ and $spex_{P} (n, F)$ be the maximum spectral radius over all $n$ -vertex $F$ -free outerplanar graphs and planar graphs, respect…