Ligong Wang

activity

20242026

collaborators

11 papers

math.CO2026

Size conditions and spectral conditions for generalized factor-critical (bicritical) graphs and $k$ - $d$ -critical graphs

Zhenhao Zhang, Ligong Wang

Let $\mbox{odd}(G)$ and $i (G)$ denote the number of nontrivial odd components and the number of isolated vertices of a graph $G$ , respectively. The $k$ -Berge-Tutte-formula of a gra…

math.CO2026

Distance spectral radius conditions for edge-disjoint spanning trees and a forest with constraints

Yongbin Gao, Ligong Wang

Let $k \geq 2$ be a positive integer and let $G$ be a simple graph of order $n$ with minimum degree $δ$ . A graph $G$ is said to have property $P (k, d)$ if it contains $k$ edge-disjoi…

math.CO2026

Laplacian eigenvalue conditions for edge-disjoint spanning trees and a forest with constraints

Yongbin Gao, Ligong Wang

Let $k$ be a positive integer and let $G$ be a simple graph of order $n$ with minimum degree $δ$ . A graph $G$ is said to have property $P (k, d)$ if it contains $k$ edge-disjoint sp…

math.CO2025

Spectral extremal problems for $(a, b, k)$ -critical and fractional $(a, b, k)$ -critical graphs

Zengzhao Xu, Ligong Wang, Weige Xi

A factor of a graph is essentially a specific type spanning subgraph. The study of characterizing the existence of $[a, b]$ -factors based on eigenvalue conditions can be traced bac…

math.CO2025

Spectral radius and size conditions for fractional $(a, b, m)$ -covered graphs

Zengzhao Xu, Ligong Wang, Weige Xi

A fractional $(a, b, m)$ -covered graph is a generalization of the concept of a fractional $[a, b]$ -covered graph. For any $H \subseteq G$ with edge set $∣ E (H) ∣ = m$ , if there exists a…

math.CO2025

Tricyclic graphs for which the second largest distance eigenvalue less than $- \frac{1}{2}$

Kexin Yang, Ligong Wang

Let $G$ be a simple connected graph with vertex set $V (G) = {v_{1}, v_{2}, \dots, v_{n}}$ . The distance $d_{G} (v_{i}, v_{j})$ between two vertices $v_{i}$ and $v_{j}$ of $G$ is the length of…

Size conditions and spectral conditions for generalized factor-critical (bicritical) graphs and k-d-critical graphs

Distance spectral radius conditions for edge-disjoint spanning trees and a forest with constraints

Laplacian eigenvalue conditions for edge-disjoint spanning trees and a forest with constraints

Spectral extremal problems for (a,b,k)-critical and fractional (a,b,k)-critical graphs

Spectral radius and size conditions for fractional (a,b,m)-covered graphs

Tricyclic graphs for which the second largest distance eigenvalue less than −21​

Size conditions and spectral conditions for generalized factor-critical (bicritical) graphs and $k$ - $d$ -critical graphs

Spectral extremal problems for $(a, b, k)$ -critical and fractional $(a, b, k)$ -critical graphs

Spectral radius and size conditions for fractional $(a, b, m)$ -covered graphs

Tricyclic graphs for which the second largest distance eigenvalue less than $- \frac{1}{2}$