Linfeng Xie

collaborators

3 papers

math.CO2026

Index perturbation of signed graphs

Linfeng Xie, Xiaogang Liu

Let $I^ = (G, I ¨ )$ be a signed graph and $v$ a non-isolated vertex of $I^$ . Let $I^ - v$ denote the graph obtained by deleting the vertex $v$ together with all signed edges incident t…

math.CO2026

Localization of spectral TurÃ¡n theorems for signed graphs

Linfeng Xie, Xiaogang Liu

In this paper, we extend localized TurÃ¡n theorems to signed graphs and study the corresponding spectral TurÃ¡n problems. Firstly, we establish a vertex-localized TurÃ¡n-type inequ…

math.CO2025

Bounds for the largest eigenvalue and sum of Laplacian eigenvalues of signed graphs

Linfeng Xie, Xiaogang Liu

In this paper, we consider the bounds for the largest eigenvalue and the sum of the $k$ largest Laplacian eigenvalues of signed graphs. Firstly, we give an upper bound on the large…