What is k-edge?

K-edge refers to the edge connectivity of a graph. The k-edge of a graph is the size of the smallest subset of edges that, when removed, disconnects the graph into two or more disconnected components. In other words, the k-edge is the minimum number of edges that need to be removed before the graph becomes disconnected. The k-edge is a crucial concept in network analysis and is often used in various network-related applications, including fault tolerance analysis, network design, and optimization. The k-edge can also be used to measure the resilience of a network or the robustness of a system against edge failures or attacks. Moreover, the k-edge of a graph can be computed using various algorithms, such as the maximum flow algorithm, the minimum cut algorithm, or the connectivity algorithm.