Xinhui Duan

collaborators

2 papers

math.CO2025

Spectral extremal problem of the $p$ th power of cycles

Xinhui Duan, Lu Lu

For a cycle $C_{k}$ on $k$ vertices, its $p$ -th power, denoted $C_{k}^{p}$ , is the graph obtained by adding edges between all pairs of vertices at distance at most $p$ in $C_{k}$ . Let $\ex…

math.CO2025

Spectral extremal problem for the odd prism

Xinhui Duan, Lu Lu

The spectral TurÃ¡n number $\spex(n, F)$ denotes the maximum spectral radius $I ¨ (G)$ of an $F$ -free graph $G$ of order $n$ . This paper determines $\spex\left(n, C_{2k+1}^{\square}\…

Spectral extremal problem of the pth power of cycles

Spectral extremal problem for the odd prism

Spectral extremal problem of the $p$ th power of cycles