3 papers
math.CO2023
Connectivity keeping edges of trees in 3-connected or 3-edge-connected graphs
Qing Yang, Yingzhi Tian
Hasunuma [J. Graph Theory 102 (2023) 423-435] conjectured that for any tree of order , every -connected (or -edge-connected) graph with minimum degree at least $k+…
math.CO2023
The super restricted edge-connectedness of direct product graphs
Jiaqiong Yin, Yingzhi Tian
Let be a graph with vertex set and edge set . An edge subset is called a restricted edge-cut if is disconnected and has no isolated vertice…
math.CO2022
The -extra connectivity of the strong product of paths and cycles
Qinze Zhu, Yingzhi Tian
Let be a connected graph and be a non-negative integer. The -extra connectivity of is the minimum cardinality of a set of vertices in , if it exists, whose remova…