Tao Zhang

activity

20242026

collaborators

3 papers

math.CO2026

Toughness and AÎ±-spectral radius in graphs

Sizhong Zhou, Yuli Zhang, Tao Zhang +1

Let $I^\pm \in [0, 1)$ , and let $G$ be a connected graph of order $n$ with $n \geq f (I^\pm)$ , where $f (I^\pm) = 6$ for $I^\pm \in [0, \frac{2}{3}]$ and $f (I^\pm) = \frac{4}{1 - I ^ \pm}$ for $I^\pm \in (\frac{2}{3}, 1)$ …

math.CO2025

Adjacency spectral radius and H-factors in 1-binding graphs

Sizhong Zhou, Tao Zhang, Zhiren Sun

Let $G$ be a graph, and let $H : V (G) ⟶ {{1}, {0, 2}}$ be a set-valued function. Hence, $H (v)$ equals ${1}$ or ${0, 2}$ for any $v \in V (G)$ . We let $$ H^{-1}(1)=\{…

math.CO2024

A spectral condition for a graph having a strong parity factor

Sizhong Zhou, Tao Zhang, Qiuxiang Bian

A graph $G$ contains a strong parity factor $F$ if for every subset $X \subseteq V (G)$ with $∣ X ∣$ even, $G$ has a spanning subgraph $F$ satisfying $I^´ (F) \geq 1$ , $d_{F} (u) \equiv 1$ (mod…