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math.CO2023
Connectivity keeping trees in 3-connected bipartite graphs with girth conditions
Qing Yang, Yingzhi Tian
Luo, Tian and Wu conjectured in 2022 that for any tree with bipartition and , every -connected bipartite graph with , where $t = \max\{|X|,|Y |\}…
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.CO2022
Connectivity keeping caterpillars and spiders in bipartite graphs with connectivity at most three
Qing Yang, Yingzhi Tian
A conjecture of Luo, Tian and Wu (2022) says that for every positive integer and every finite tree with bipartition and (denote , every -c…