3 papers
math.CO2026
Extremal graphs with no subgraph admitting edge-disjoint spanning trees
Qinglin Wang, Yingzhi Tian
A graph is -maximal if contains no subgraph admitting edge-disjoint spanning trees, while the addition of any edge in the complement of yields a subgraph th…
math.CO2026
Connectivity preserving spanning -paths in -connected graphs
Zhaolin Teng, Yingzhi Tian
Hasunuma [Graphs Combin. 41:10 (2025)] proved that for , there exists a function such that every -connected graph of order with $δ(G)\ge \fr…
math.CO2026
The 3-restricted Edge-Connectivity of Strong Product Graphs
Wenxin Wang, Yingzhi Tian, Jing Wang
An edge subset \( S \subseteq E(G) \) is called a 3-restricted edge-cut if is disconnected and each component of \( G - S \) contains at least three vertices. The 3-restricte…