Bipartite Toughness and 𝑘-Factors in Bipartite Graphs

Figure 1

The bound of bipartite toughness in Theorems 1.2 and 1.3, illustrated with 𝑛=1000. The 𝑥-axis is 𝑘 and 𝑦-axis is log(𝑡^𝐵(𝐺)). The bound is given by 𝑓₁ on the left and 𝑓₂ on the right of 𝑘=(𝑛+4)/4.