Ting Xu

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math.CO2026

Spectral extremal problems on $[a, b]$ -factors in binding graphs, and beyond

Ting Xu, Ruifang Liu

The binding number $b (G)$ of a graph $G$ is the minimum value of $∣ N_{G} (X) ∣/∣ X ∣$ taken over all nonempty sets $X \subseteq V (G)$ such that $N_{G} (X) \neq = V (G)$ . A graph $G$ is 1-bin…

math.CO2026

Spectral radius and parity $[a, b]$ -factors in graphs

Ruifang Liu, Ting Xu, Suil O

Let $a$ , $b$ , and $n$ be three integers such that $1 \leq a \leq b < n$ , $a \equiv b$ (mod $2$ ), and $na$ is even. A parity $[a, b]$ -factor of $G$ is a spanning subgraph $H$ such tha…

Spectral extremal problems on [a,b]-factors in binding graphs, and beyond

Spectral radius and parity [a,b]-factors in graphs

Spectral extremal problems on $[a, b]$ -factors in binding graphs, and beyond

Spectral radius and parity $[a, b]$ -factors in graphs